José Ferreira-Alves

Bovens (2010) points out that there is a structural analogy between the Judy Benjamin problem (JB) and the Sleeping Beauty problem (SB). On grounds of this structural analogy, he argues that both should receive the same solution, viz. the posterior probability of the eastern region of the matrix in Table 1 should equal 1/3. Hence, P*(Red) = 1/3 in the JB and P*(Heads) = 1/3 in the SB. Bovens’s argument rests on a standard error in implementing Bayesian updating, which is spelled out in Shafer 1985. When we are informed of some proposition, we do not only learn the proposition in question, but also that we have learned the proposition as one of the many propositions that we might have learned. The information is generated by a protocol, which determines the various propositions that we might learn. We should then update not on the proposition in question, but rather on the fact that we learned this proposition as one of the many propositions that we might have learned. A well-known application of this insight is the Monty Hall problem (MH) as Speed (1985: 276) points out in a discussion of Shafer 1985. As an illustration, let us apply Shafer’s insight to the MH. In the MH, the contestant in a game show learns that there is a goat behind two of three doors X, Y and Z and a car behind one door. She is asked to pick one of the three doors. The contestant picks door X. Monty will then open one of the remaining doors, which he knows to have a goat behind it. Suppose Monty opens door Y. The contestant is then asked whether she wants to …

Bovens (2010) points out that there is a structural analogy between the Judy Benjamin problem (JB) and the Sleeping Beauty problem (SB). On grounds of this structural analogy, he argues that both should receive the same solution, viz. the posterior probability of the eastern region of the matrix in Table 1 should equal 1/3. Hence, P*(Red) = 1/3 in the JB and P*(Heads) = 1/3 in the SB. Bovens’s argument rests on a standard error in implementing Bayesian updating, which is spelled out in Shafer 1985. When we are informed of some proposition, we do not only learn the proposition in question, but also that we have learned the proposition as one of the many propositions that we might have learned. The information is generated by a protocol, which determines the various propositions that we might learn. We should then update not on the proposition in question, but rather on the fact that we learned this proposition as one of the many propositions that we might have learned. A well-known application of this insight is the Monty Hall problem (MH) as Speed (1985: 276) points out in a discussion of Shafer 1985. As an illustration, let us apply Shafer’s insight to the MH. In the MH, the contestant in a game show learns that there is a goat behind two of three doors X, Y and Z and a car behind one door. She is asked to pick one of the three doors. The contestant picks door X. Monty will then open one of the remaining doors, which he knows to have a goat behind it. Suppose Monty opens door Y. The contestant is then asked whether she wants to …

Externality games are studied in Grafe et al. (1998, Math. Methods Op. Res. 48, 71). We define a generalization of this class of games and show, using the methodology in Izquierdo and Rafels (1996, 2001, Working paper, Univ Barcelona; Games Econ. Behav. 36, 174), some properties of the new class of generalized externality games. They include, among others, the algebraic structure of the game, convexity, and their implications for the study of cooperative solutions. Also the proportional rule is characterized for this class of games.

This article based on a recent European study examines the subjective consequences of abuse against older women and their help seeking behavior. In 2010, survey data concerning experiences of abuse in domestic settings were collected from 2,880 older women across five European countries (Austria, Belgium, Finland, Lithuania, and Portugal). The results of the study indicated that overall 30.1% of older women reported at least one experience of abuse in the past year. Less than half of the victims talked about it in the informal setting or reported it to any formal agency. An ecological framework is used to explain factors influencing women’s decisions to seek help. Some consequences of abuse (anger, tension, sleeping difficulties, and concentration difficulties), type of abuse (physical abuse and violation of personal rights), higher abuse intensity, and density are connected with positive help seeking behaviours. Victims abused by current partners or a spouse were more passive to seek help.

Empirical reports on scientific competition show that scientists can be depicted as self-interested, strategically behaving agents. Nevertheless, we argue that recognition-seeking scientists will have an interest in establishing methodological norms which tend to select theories of a high epistemic value, and that these norms will be still more stringent if the epistemic value of theories appears in the utility function of scientists, either directly or instrumentally. (Published Online July 11 2006) Footnotes1 The author gratefully acknowledges financial support from DGI grant BEC2002-03715 (Ministerio de Educación y Cultura). 2 The author gratefully acknowledges financial support from grants PB98-0495-C08-01 and BFF2002-03656 (Ministerio de Educación y Cultura).