Leonid Grinin

This article analyzes the global causes of the contemporary crisis and the possibilities to eliminate the most acute problems that have generated this crisis. It analyzes both the negative role of the world financial flows and their important positive functions including the ‘insurance’ of social guaranties at the global scale. In connection with the outcome of the crisis it analyzes the conditions of possible transformations of the world system and the possibility of various global scripts of its near future. It gives a characteristic of the coming ‘epoch of new coalitions’; it gives some futuristic prognosis.

Issues of sociopolitical systems’ stability and risks of their destabi-lization in process of political transformations belong to the most important ones as regards the social development perspectives, as has been shown again by the recent events in Ukraine. In this re-spect it appears necessary to note that the transition to democracy may pose a serious threat to the stability of respective sociopolitical systems. This article studies the issue of democratization of countries within globalization context, it points to the unreasonably high economic and social costs of a rapid transition to democracy as a result of revolutions or of similar large-scale events for the countries unprepared for it. The authors believe that in a number of cases the authoritarian regimes turn out to be more effective in economic and social terms in comparison with emerging democracies especially of the revolutionary type, which are often incapable to insure social order and may have a swing to authoritarianism. Effective authoritarian regimes can also be a suitable form of a transition to efficient and stable democracy. The article investigates various correlations between revolutionary events and possibilities of establishing democracy in a society on the basis of the historical and contemporary examples as well as the recent events in Egypt. The authors demonstrate that one should take into account a country’s degree of sociopolitical and cultural preparedness for democratic institutions. In case of favorable background, revolutions can proceed smoothly (“velvet revolutions”) with efficient outcomes. On the contrary, democracy is established with much difficulty, throwbacks, return to totalitarianism, and with outbreaks of violence and military takeovers in the countries with high illiteracy rate and rural population share, with low female status, with widespread religious fundamental ideology, where a substantial part of the population hardly ever hears of democracy while the liberal intellectuals idealize this form, where the opposing parties are not willing to respect the rules of democratic game when defeated at elections

The monograph presents the ideas about the main changes that occurred in the development of technologies from the emergence of Homo sapiens till present time and outlines the prospects of their development in the next 30–60 years and in some respect until the end of the twenty-first century. What determines the transition of a society from one level of development to another? One of the most fundamental causes is the global technological transformations. Among all major technological breakthroughs in history the most important are three production revolutions: 1) the Agrarian Revolution; 2) the Industrial Revolution; and 3) the Cybernetic one. The book introduces the theory of production revolutions which is a new valuable explanatory paradigm that analyzes causes and trends of dramatic shifts in historical process. The authors describe the course of technological transformations in history and demonstrate a possible application of the theory to explain the present and forthcoming technological changes. They analyze the technological shifts which took place in the second half of the twentieth and early twenty-first centuries and forecast the main shifts in the next half a century. On this basis the authors present a detailed analysis of the latest production revolution which is denoted as ‘Сybernetic’. They make some predictions about its development in the nearest five decades and up to the end of the twenty-first century and show that the development of various self-regulating systems will be the main trend of this revolution. The authors argue that the transition to the starting final phase of the Cybernetic Revolution (in the 2030–2040s) will first occur in the field of medicine (in some its innovative branches). In future we will deal with the started convergence of innovative technologies which will form the system of MANBRIC-technologies (i.e. the technological paradigm based on medicine, additive, nano- and bio- technologies, robotics, IT and cognitive technologies). The monograph gives an outline of the future breakthroughs in medicine and some other technologies (between the 2010s and 2070s).

In the present paper, on the basis of the theory of production principles and production revolutions, we reveal the interrelation between K-waves and major technological breakthroughs in history and make forecasts about features of the sixth Kondratieff wave in the light of the Cybernetic Revolution that, from our point of view, started in the 1950s. We assume that the sixth K-wave in the 2030s and 2040s will merge with the final phase of the Cybernetic Revolution (which we call a phase of self-regulating systems). This period will be characterized by the breakthrough in medical technologies which will be capable to combine many other technologies into a single complex of MANBRIC-technologies (med-bio-nano-robo-info-cognitive technologies). The article offers some forecasts concerning the development of these technologies.

The present article analyzes the world order in the past, present and future as well as the main factors, foundations and ideas underlying the maintaining and change of the international and global order. The first two sections investigate the evolution of the world order starting from the ancient times up to the late twentieth century. The third section analyzes the origin and decline of the world order based on the American hegemony. The authors reveal the contradictions of the current unipolar world and explain in what way globalization has become more profitable for the developing countries but not for the developed ones. The authors also explain the strengthening belief that the US leading status will inevitably weaken. In this connection we discuss the alternatives of the American strategy and the possibility of the renaissance of the American leadership. The last section presents a factor analysis which allows stating that the world is shifting toward a new balance of power and is likely to become the world without a leader. The new world order will consist of a number of large blocks, coalitions and countries acting within a framework of rules and mutual responsibility. However, the transition to a new world order will take certain time (about two decades). This period, which we denote as the epoch of new coalitions, will involve a reconfiguration of the World System and bring an increasing turbulence and conflict intensity

Concerns about population ageing apply to both developed and many developing countries and it has turned into a global issue. In the forthcoming decades the population ageing is likely to become one of the most important processes determining the future society characteristics and the direction of technological development. The present paper analyzes some aspects of the population ageing and its important consequences for particular societies and the whole world. Basing on this analysis, we can draw a conclusion that the future technological breakthrough is likely to take place in the 2030s (which we define as the final phase of the Cybernetic Revolution). In the 2020s – 2030s we will expect the upswing of the forthcoming sixth Kondratieff wave, which will introduce the sixth technological paradigm (system). All those revolutionary technological changes will be connected, first of all, with breakthroughs in medicine and related technologies. We also present our ideas about the financial instruments that can help to solve the problem of pension provision for an in-creasing elderly population in the developed countries. We think that a more purposeful use of pension funds' assets together with an allocation (with necessary guarantees) of the latter into education and upgrading skills of young people in developing countries, perhaps, can partially solve the indicated problem in the developed states.

The stability of socio-political systems and the risks of destabilisation in the process of political transformation are among the most important issues of social development; the transition to democracy may pose a serious threat to the stability of a respective socio-political system. This article studies the issue of democratisation. It highlights the high economic and social costs of a rapid transition to democracy for countries unprepared for it—democracy resulting from revolutions or similar large-scale events. The authors believe that in a number of cases authoritarian regimes turn out to be more effective in economic and social terms than emerging democracies, especially those of a revolutionary type, which are often incapable of ensuring social order and may have a swing to authoritarianism. Effective authoritarian regimes can also be a suitable form of transition to an efficient and stable democracy. Using historical and contemporary examples, particularly the recent events in Egypt, the article investigates various correlations between revolutionary events and the possibility of establishing democracy in a society.

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The present article analyzes the world order in the past, present and future as well as the main factors, foundations and ideas underlying the maintaining and change of the international and global order. The first two sections investigate the evolution of the world order starting from the ancient times up to the late twentieth century. The third section analyzes the origin and decline of the world order based on the American hegemony. The authors reveal the contradictions of the current unipolar world and explain in what way globalization has become more profitable for the developing countries but not for the developed ones. In the paper also explains the strengthening belief that the US leading status will inevitably weaken. In this connection we discuss the alternatives of the American strategy and the possibility of the renaissance of the American leadership. The last section presents a factor analysis which allows stating that the world is shifting toward a new balance of power and is likely to become the world without a leader. The new world order will consist of a number of large blocks, coalitions and countries acting within a framework of rules and mutual responsibility. However, the transition to a new world order will take certain time (about two decades). This period, which we denote as the epoch of new coalitions, will involve a reconfiguration of the World System and bring an increasing turbulence and conflict intensity.

In 1937, the Japanese economist Kaname Akamatsu discovered specific links between the rise and decline of the global peripheries. Akamatsu’s theory of development describes certain mechanisms whose working results in the narrowing of the gap between the level of development of the economy of developing and developed countries, and, thus, in the re-structuring of the relationships between the global core and the global periphery. Akamatsu developed his model on the basis of his analysis of the economic development of Japan before World War II, with a special emphasis on the development of the Japanese textile industry. Akamatsu’s catch-up development includes three phases: import of goods, organization of the production of previously imported products, and export of those goods. This model proved to be productive for analyzing the development of many other developing countries, especially in East Asia, making the theory of flying geese popular among the economists of these countries, as well as the whole world. The “flying geese” model produces certain swings that may be denoted as Akamatsu waves. Akamatsu waves may be defined as cycles (with a period ranging from 20 to 60 years) that are connected with convergence and divergence of core and periphery of the World System in a way that explains cyclical upward and downward swings (at global and national levels) in the movements of the periphery countries as they catch up with the richer ones.

In the 1960s Mancur Olson and Samuel Huntington suggested that the positive correlation between per capita income and the level of sociopolitical destabilization that they detected for low and middle income countries might be partly accounted for by the growth of the inequality associated with the economic and technological development in these countries. The empirical tests we perform generally support this hypothesis, but they also identify certain limits for such an explanation. Our tests reveal for low and middle income countries a statistically significant correlation between GDP per capita and the economic inequality levels, but this correlation is not particularly strong. Earlier we found for the same countries significantly stronger positive correlations between GDP per capita and some important components of sociopolitical destabilization, such as the intensity of political assassinations, general strikes and anti-government demonstrations. It is quite clear that the strong association between the increase in the intensity of these components of sociopolitical destabilization and GDP per capita growth, can be explained by a much weaker tendency toward the growth of economic inequality only partly. In addition, our empirical tests suggest the presence of a certain threshold level of about 40 points on the Gini scale, after crossing which one can expect a radical increase in levels of sociopolitical destabilization in general, and the intensity of terrorist acts / guerrilla warfare and anti-government demonstrations in particular. According to the World Bank, the value of the Gini coefficient for Russia is now just in this zone, which suggests that the further growth of inequality in Russia could lead to an abrupt increase in political destabilization.

The paper discusses some aspects of integration of different regions and societies in the course of historical globalization. Within historical globalization one can observe a close correlation between such important processes as technological transformations, urbanization, political integration, struggle for political hegemony, etc. In the paper we analyze these correlations to associate historical globalization with phases of expansion. Within the expansion process we point out seven levels from the local level through the planetary one. The most significant changes were associated with crucial technological breakthroughs, or production revolutions, and other related transformations like the Urban Revolution. The latter can be regarded as a phase transition of the Afroeurasian world-system to a qualitatively new level of complexity. There are also several periods which one can define as landmarks in the world-system history. The paper also offers some theoretical ideas about cycles of divergence and convergence.

The present working paper analyzes the world order in the past, present and future as well as the main factors, foundations and ideas underlying the maintaining and change of the international and global order. The first two sections investigate the evolution of the world order starting from the ancient times up to the late twentieth century. The third section analyzes the origin and decline of the world order based on the American hegemony. The authors reveal contradictions of the current unipolar world and explain in what way globalization has become more profitable for the developing countries but not for the developed ones. The paper also explains the strengthening belief that the US leading status will inevitably weaken. In this connection we discuss the alternatives of the American strategy and the possibility of the renaissance of the American leadership. The last section presents a factor analysis which allows stating that the world is shifting toward a new balance of power and is likely to become the world without a leader. The new world order will consist of a number of large blocks, coalitions and countries acting within a framework of rules and mutual responsibility. However, the transition to a new world order will take certain time (about two decades). This period, which we denote as the epoch of new coalitions, will involve a reconfiguration of the World-System and bring an increasing turbulence and conflict intensity. There are grounds to conclude that in 2011–2012 the World-System experienced to some extent a phase transition to a qualitatively new state of global protest activity. This phase transition is shown to bear some resemblance to the one which the World-System experienced in the early 1960s. The first (after 1919) phase transition of this sort occurred in the early 1960s and was related to the growth of global informational connectivity after the World War II, as well as the improvement of the means of protest self-organization due to the spread of television, portable radio receivers, portable electric loud-speakers and other technologies of the Fourth Kondratieff Cycle. The phase transition of the early 2010s was prepared by a new wave of growth of global informational connectivity, as well as the improvement of the means of protest self-organization due to the spread of various technologies of the Fifth Kondratieff cycle (the Internet, satellite television, Twitter and other social networks, mobile telephony etc.). Similarly to what was observed during the Fourth Kondratieff Wave, during the Fifth Cycle while the spread of these technologies was going on for many years before 2011, their internal colossal potential for generating and spreading protest activity was realized in one leap, as a phase transition.

In the present article we analyze the relationships between K-waves and major technological breakthroughs in history and offer forecasts about features of the sixth Kondratieff wave. We use for our analysis the basic ideas of long cycles' theory and related theories (theories of the leading sector, technological styles etc.) as well as the ideas of our own theory of production principles and production revolutions. The latest of production revolution is the Cybernetic Revolution that, from our point of view, started in the 1950s. We assume that in the 2030s and 2040s the sixth K-wave will merge with the final phase of the Cybernetic Revolution (which we call a phase of self-regulating systems). This period will be characterized by the breakthrough inmedical technologies which will be capable to combine many other technologies into a single system of MANBRIC-technologies (medico-additive-nano-bio-roboto-info-cognitive technologies). The article also presents a forecast of the process of global ageing and argueswhy the technological breakthrough will occur in health care sector and connected spheres.

In this chapter, we analyze the relationship between Kondratieff waves and major technological revolutions on the basis of the theory of production principles and production revolutions, and offer some forecasts about the features of the Sixth Kondratieff Wave/the Fourth Industrial Revolution. We show that the technological breakthrough of the Sixth Kondratieff Wave may be interpreted as both the Fourth Industrial Revolution and as the final phase of the Cybernetic Revolution. We assume that the sixth K-wave in the 2030s and 2040s will merge with the final phase of the Cybernetic Revolution (which we call a phase of selfregulating systems). This period will be characterized by the breakthrough in medical technologies which will be capable of combining a number of other technologies into a single system of new and innovative technologies (we denote this system as a system of MANBRIC-technologies—i.e. medical, additive, nano-, bio-, robo-, info-, and cogno-technologies).

In the first part of this article we survey general similarities and differences between biological and social macroevolution. In the second (and main) part, we consider a concrete mathematical model capable of describing important features of both biological and social macroevolution. In mathematical models of historical macrodynamics, a hyperbolic pattern of world population growth arises from non-linear, second-order positive feedback between demographic growth and technological development. This is more or less identical with the working of the collective learning mechanism. Based on diverse paleontological data and an analogy with macrosociological models, we suggest that the hyperbolic character of biodiversity growth can be similarly accounted for by non-linear, second-order positive feedback between diversity growth and the complexity of community structure, suggesting the presence within the biosphere of a certain analogue of the collective learning mechanism. We discuss how such positive feedback mechanisms can be modelled mathematically.

What determines the transition of a society from one level of development to another? One of the most fundamental causes is the global technological transformations. Among all major technological breakthroughs in history the most important are the three production revolutions: 1) the Agrarian Revolution; 2) the Industrial Revolution and 3) the Scientific-Information Revolution which will transform into the Cybernetic one. The article introduces the Theory of Production Revolutions. This is a new explanatory paradigm which is of value when analyzing causes and trends of global shifts in historical process. The article describes the course of techno-logical transformations in history and demonstrates a possible application of the theory to explain the present and forthcoming technological changes. The authors argue that the third production revolution that started in the 1950s and which they call the Cybernetic one, in the coming decades, that is in the 2030s and 2040s, will get a new impetus and enter its final stage – the epoch of (self)controllable systems. There are given certain forecasts concerning the development in such spheres as medicine, biotechnologies and nanotechnolo-gies in the coming decades (the 2010s – 2060s).

The formation of the Afroeurasian world-system was one of the crucial points of social evolution, starting from which the social evolution rate and effective-ness increased dramatically. In the present article we analyze processes and scales of global integration in historical perspective, starting with the Agrarian Revolution. We connect the main phases of historical globalization with the processes of development of the Afroeurasian world-system. In the framework of the Afroeurasian world-system the integration began a few thousand years Before the Common Era. In this world-system the continental and supracontinental links became rather developed long before the Great Geographic Discoveries and thus, they could quite be denoted as global (albeit in a somehow limited sense). As some researchers are still inclined to underestimate the scale of those links in the pre-Industrial era, it appears necessary to provide additional empirical support for our statement. It also turns necessary to apply a special methodology (which necessitated the use of the world-system approach). We analyze some versions of periodization of history of globalization. We also propose our own periodization of globalization using as its basis the growing scale of intersocietal links as an indicator of the level of globalization development.

This article starts with a brief analysis of the causes of state collapse as states undergo the process of political evolution. Next, I describe and analyze the mechanisms of social-political crises arising in the process of modernization. Such crises are a consequence of the inability of many traditional institutions and ideologies to keep up with changes in technology, communication, system of education, medical sphere, and with the demographic change. This analysis suggests that an accelerated development can cause a system crisis with potentially serious consequences to the society. It is important to take this aspect into consideration because some scholars insist that the economic reconstruction and development are necessary for nation-building. This actually implies a rapid economic advancement (otherwise, the economy could not be reconstructed and developed). However, one should not ignore the possibility that very rapidly developing countries may run the danger of falling into the trap of fast transformation. The present article describes several mechanisms that can contribute to sociopolitical instability, including social tensions arising from rapid urbanization, youth bulges, and ‘resource curses’.

The present article is devoted to the problem which is debated today, namely, whether Greek poleis and the Roman Republic were early states or they represented a specific type of stateless societies. The diversity of sociopolitical evolution is expressed in a tremendous variety of the early states proper among which the bureaucratic states represent just one of many types. The democratic early states without bureaucracy were early states of another type. In this article Athens and the Roman Republic are analyzed as examples of this very type.

In the coming decades in the process of globalization the position of the USA and Europe will weaken, while the role of developing countries will increase. The role of the two largest emerging economies – China and India – will be of special significance. What future will these fast-growing giants face? The demographers agree that pretty soon India will lead the world in population and thus surpass China, while China will encounter serious ageing population problems. But economic and political scenarios of the future are quite different: from resounding success and world leadership to collapse caused by demographic and socio-political troubles. Which of them is more feasible? In the present article I analyze the Chinese and Indian development models separately and comparatively and make a forecast of their perspectives in the 21st century. Such an analysis could be helpful for understanding Russia's ways of development.

Section 1 of this article presents a mathematical analysis of the longterm global urbanization dynamics and demonstrates that it could be described as a series of phase transitions between attraction basins. This makes it possible to suggest new approaches to the analysis of global social macroevolution. Section 2 presents a threestage model of the macroevolution of the World System statehood (early – developed – mature state) that, we believe, describes the main features of political macroevolution better than the twostage model proposed by Claessen and Skalník (early – mature state). This model has been used as a basis for the analysis of changes in the development of political structures from the prestate polities and the most primitive early states (and their analogues) till the modern supercomplex states. In this section we also analyze the relationship between the growth of the territory controlled by the World System states and the growth of the statehood complexity. Finally, Section 3 attempts at the detection of the correlation between the global evolution of political structures and global urbanization processes. This study confirms the presence of a system of attraction basins and phase transitions within the World System macroevolutionary development field, as well as the presence of mathematically interpretable correlations and interrelations between the analyzed global processes – political, urbanizing, demographic, technological, and sociostructural.

The human history has evidenced a great number of systems of hierarchy and power, various manifestations of power and hierarchy relations in different spheres of social life from politics to information networks, from culture to sexual life. A careful study of each particular case of such relations is very im-portant, especially within the context of contemporary multipolar and multicultural world. In the meantime it is very important to see both the general features, typical for all or most of the hierarchy and power forms, and their variation. This set of issues has been treated by a series of international conferences titled ‘Hierarchy and Power in the History of Civilizations’ held in 2000–2006. Most articles of this volume were originally presented at the 4th conference of this series (Moscow, 2006). Needless to mention that all those presentations have been substantially re-worked for the publication in this volume. Notwithstanding the fact that the relations of hierarchy and power are rele-vant for all the spheres as they penetrate the whole of social life, establishing a sort of framework for the human agency, they are naturally most visible in the political sphere. They existed long before the formation of the earliest states – ethologists maintain that complex systems of hierarchy and power can be found among many highly organized animals. Yet, this was with the formation of the state and civilization when the power and hierarchy relations acquired their mature forms. Although ancient and medieval systems of government and domination always attract special attention, contemporary systems are much closer for every scholar. At the same time relations of power and hierarchy in the modern political world system demonstrate a great number of variants, levels and dimensions. In the present edited volume we only focus on three aspects of this important subject. These are revolutionary transformations (in the broad sense of this notion), violence, and globalization. Each volume section is devoted to one of those themes.

The comparison between biological and social macroevolution is a very important (though insufficiently studied) subject whose analysis renders new significant possibilities to comprehend the processes, trends, mechanisms, and peculiarities of each of the two types of macroevolution. Of course, there are a few rather important (and very understandable) differences between them; however, it appears possible to identify a number of fundamental similarities. One may single out at least three fundamental sets of factors determining those similarities. First of all, those similarities stem from the fact that in both cases we are dealing with very complex non-equilibrium (but rather stable) systems whose principles of functioning and evolution are described by the General Systems' Theory, as well as by a number of cybernetic principles and laws. Secondly, in both cases we do not deal with isolated systems; in both cases we deal with a complex interaction between systems of organic systems and external environment, whereas the reaction of systems to external challenges can be described in terms of certain general principles (that, however, express themselves rather differently within the biological reality, on the one hand, and within the social reality, on the other). Thirdly, it is necessary to mention a direct ‘genetic’ link between the two types of macroevolution and their mutual influence. It is important to emphasize that the very similarity of the principles and regularities of the two types of macroevolution does not imply their identity. Rather significant similarities are frequently accompanied by enormous differences. For example, genomes of the chimpanzees and the humans are very similar – with differences constituting just a few per cent; however, there are enormous differences with respect to intellectual and social differences of the chimpanzees and the humans hidden behind the apparently ‘insignificant’ difference between the two genomes. Thus, in certain respects it appears reasonable to consider the biological and social macroevolution as a single macroevolutionary process. This implies the necessity to comprehend the general laws and regularities that describe this process, though their manifestations may display significant variations depending on properties of a concrete evolving entity (biological, or social one). An important notion that may contribute to the improvement of the operationalization level as regards the comparison between the two types of macroevolution is the one that we suggested some time ago – the social aromorphosis (that was developed as a counterpart to the notion of biological aromorphosis well established within Russian evolutionary biology). We regard social aromorphosis as a rare qualitative macrochange that increases in a very significant way complexity, adaptability, and mutual influence of the social systems, that opens new possibilities for social macrodevelopment. In our paper we discuss a number of regularities that describe biological and social macroevolution and that employ the notions of social and biological aromorphosis such as ones of the module evolution (or the evolutionary ‘block assemblage’), ‘payment for arogenic progress’ etc.

This article is devoted to the significant at all times and sounding anew in every epoch problem of the role of an individual (also a Hero, Great Man) in history, including such an aspect as the role of an individual in the process of state formation and progress. It is argued that in the age of globalization, when the humankind has found itself at the new developmental turning point, in the epoch when the influence of various individuals could affect dramatically the further development of the whole world, there is an urgent necessity to return to the analysis of this issue. In the first part of this article the history of views on this problem from the antiquity to contemporary counterfactual history is considered. In the second part the author aims at presenting the complex of factors affecting the role of individuals as a conceptual system. He suggests that depending on various conditions and circumstances and with the account of specific features of historical place and time and personal characteristics, the historical role of an individual may fluctuate from the absolutely invisible up to the greatest one. A conclusion is made that the weaker and less stable is a society, the more destroyed are the old structures, the greater may be the personality's impact. In other words, the role of an individual is inversely correlated with society's stability and strength. The paper presents the model which includes four society’s state phases: 1) stable society of the monarchic type; 2) social pre-revolutionary crisis; 3) revolution; 4) creation of a new order. It is shown that a personality's greatest influence is observed at the third and fourth stages while at the first stage the influence is usually considerably weaker.

However, strange though it may seem, personal celebrity (as well as fame, popularity etc.) is hardly included in the list of those resources. This happens despite the increasing role of this phenome-non in modern life and the fact that the aspiration for it affects value aims of a growing number of people. What is more, it begins to influence the changes of social relations and stratification. The subject of the present article is the investigation of the influence of the personal celebrity factor on the social life of modern society, the analysis of characteristics of celebrities as a special stratum, and reasons for the rapid increase in the importance of social role of personal celebrity in the last century.

The present article is devoted to the problem which is debated actively to-day, namely whether Greek poleis and the Roman Republic were early states or they represented a specific type of stateless societies. In particular, Moshe Berent examines this problem by the example of Athens in his contribution to this volume. He arrives at the conclusion that Athens was a stateless society. However, I am of the opinion that this conclusion is wrong: and I believe that Athens and Rome were early states. Therefore the present article is in many respects a direct discussion with Berent (as well as with other supporters of this idea).

. In our opinion, the processes of changing of sovereignty nowadays are among those of much significance. Presumably, if such processes (of course with much fluctuation) gain strength it will surely affect all spheres of life, including change of ideology and social psychology (the moment which is still underestimated by many analysts). Generally speaking, notwithstanding an avalanche of works devoted to the transformation of sovereignty, some topical aspects of the problem mentioned appear to have been disregarded. The present article is devoted to the analysis of one of such insufficiently investigated aspects – the deliberate voluntary reduction of sovereign prerogatives. In the present paper we have tried to prove that on the whole globalization contributes to the change and reduction of nomenclature and scope of state sovereign powers, and besides it is a bilateral process: on the one hand, the factors are strengthening that fairly undermine the countries' sovereignty, on the other – most states voluntarily and deliberately limit the scope of their sovereignty.

A more and more important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical methods. The history is studied more and more as a system of various processes, within which one can detect waves and cycles of different lengths – from a few years to several centuries, or even millennia. This issue is the third collective monograph in the series of History & Mathematics almanacs and it is subtitled Processes and Models of Global Dynamics. The contributions to the almanac present a qualitative and quantitative analysis of global historical, political, economic and demographic processes, as well as their mathematical models. This issue of the almanac consists of two main sections: (I) Analyses of the World Systems and Global Processes, and (II) Models of Economic and Demographic Processes. We hope that this issue of the almanac will be interesting and useful both for historians and mathematicians, as well as for all those dealing with various social and natural sciences.

The article presents a verbal and mathematical model of medium-term business cycles (with a characteristic period of 7–11 years) known as Juglar cycles. The model takes into account a number of approaches to the analysis of such cycles; in the meantime it also takes into account some of the authors' own generalizations and additions that are important for understanding the internal logic of the cycle, its variability and its peculiarities in the present-time conditions. The authors argue that the most important cause of cyclical crises stems from strong structural disproportions that develop during economic booms. These are not only disproportions between different economic sectors, but also disproportions between different societal subsystems; at present these are also disproportions within the World System as a whole. The proposed model of business cycle is based on its subdivision into four phases: – recovery phase (which could be subdivided into the start sub-phase and the acceleration sub-phase); – upswing/prosperity/expansion phase (which could be subdivided into the growth sub-phase and the boom/overheating sub-phase); – recession phase (within which one may single out the crash/bust/acute crisis subphase and the downswing sub-phase); – depression/stagnation phase (which we could subdivide into the stabilization subphase and the breakthrough sub-phase). The article provides a detailed qualitative description of macroeconomic dynamics at all the phases; it specifies driving forces of cyclical dynamics and the causes of transition from one phase to another (including psychological causes); a special attention is paid to the turning point from the peak of overheating to the acute crisis, as well as to the turning point from the downswing to recovery. The proposed mathematical model of Juglar cycle takes into account the following effects that are typical for the market economy: • positive feedbacks between various economic processes; • presence of a certain inertia, time lags in reactions of the economic subsystem to the change in conditions; • amplification by the financial subsystem of positive feedbacks and time lags in the economic subsystem; • excessive reaction to changing conditions during the acute crisis sub-phase. The authors suggest that the current crisis turns out to be rather similar to classical Juglar crises; however, there is also a significant difference, as the current crisis occurs at a truly global scale. Yet, due to this truly global scale of the current crisis, the possibilities of regulation with the national state's measures have turned out to be ineffective,whereas the suprastate regulation of financial processes hardly exists. It is shown that all these have led to the reproduction of the current crisis according to a classical Juglar scenario.