Julius Sensat

Marx criticized political economy for propounding an inverted, mystical view of economic reality. But he went beyond asserting the falsity and apologetic character of the doctrine to characterize it as reflecting a social practice of inversion or mystification — an inverted social world — in which individuals incorporate their own actions into a process whose dynamic lies beyond their control. Caught up in this process, individuals confront aspects of their own agency in the alien or reified form of a given, determining reality. Marx leaves unclear exactly how the process exerts and maintains its hold on agents, the nature of the reasons they might have for wanting to free themselves of it, and under what conditions they could do so. However, it is possible to abstract somewhat from Marx's specific concerns and to model a self-reproducing practice of reification that works through the informational environment of decision. Though of wider interest, this more general conception can shed light on the nature and critique of Marx's inverted world. It draws on conceptual resources from decision theory, game theory and general equilibrium theory.

Recent years have witnessed an increasing number of attempts to reconstruct Marxian theory in forms that can be assessed by reference to currently received standards in various disciplines. The work has even been said to establish a new paradigm: “analytical Marxism.” One doesn't have to endorse this claim to recognize a good deal of merit in the work. Through creative application of state-of-the-art methods to traditional Marxian issues, researchers have promoted productive cross-fertilization with non-Marxian programs and have revealed many problems that must be resolved for fruitful development of Marxian theory. Marx's work can be relevant to today's problems only if it is examined from vantage points provided by subsequent scientific and philosophical achievements. Moreover, critical engagement with the best science of the day has been an essential part of the Marxian theoretical project from the beginning

In its classical conception, game theory aspires to be a determinate decision theory for games, understood as elements of a structurally specified domain. Its aim is to determine for each game in the domain a complete solution to each player's decision problem, a solution valid for all real-world instantiations, regardless of context. "Permissiveness" would constrain the theory to designate as admissible for a player any conjecture consistent with the function's designation of admissible strategies for the other players. Given permissiveness and other appropriate constraints, solution sets must contain only Nash equilibria and at least one pure-strategy equilibrium, and there is no solution to games in which no symmetry invariant set of pure-strategy equilibria forms a Cartesian product. These results imply that the classical program is unrealizable. Moreover, the program is implicitly committed to permissiveness, through its common-knowledge assumptions and its commitment to equilibrium. The resulting incoherence deeply undermines the classical conception in a way that consolidates a long series of contextualist criticisms.