Abstract
Consider a game that is played infinitely often by a set of boundedly rational players. At the beginning of each period, each agent has a belief about the strategies that his opponents will use in that period. These beliefs are derived by observing the play of the game so far, that is, they are conditioned on the information contained in the history of play together with initial conditions such as prior beliefs. We need not assume, however, that the posterior beliefs are derived via Bayes’ rule (though they might be). We consider a much more general framework in which beliefs are determined by an arbitrary function that maps initial information and past history to present beliefs (as in Jordan, 1992). We suppose further that players are myopically rational in the sense that they choose a best reply given their beliefs in each period.
Dean Foster was supported by the Center for Rationality at Hebrew University, and Peyton Young by the National Science Foundation, grant SBR-9601743.
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References
Dean Foster/H. Peyton Young, “On the Nonconvergence of Fictitious Play in Coordination Games”, Working Paper WP-96–33, International Institute for Applied Systems Analysis, Laxenburg, Austria 1996.
Dean P. Foster/H. Peyton Young. Peyton Young, “Learning with Hazy Beliefs,” Working Paper, The Hebrew University of Jerusalem 1996.
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Lloyd Shapley, “Some Topics in Two-Person Games”, in Advances in Game Theory, Annals of Mathematics Studies vol. 52 (M. Dresher et al., eds.), 1964, pp.1–28.
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© 1998 Springer Science+Business Media Dordrecht
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Foster, D.P., Young, H.P. (1998). Learning with Hazy Beliefs. In: Leinfellner, W., Köhler, E. (eds) Game Theory, Experience, Rationality. Vienna Circle Institute Yearbook [1997], vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1654-3_26
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DOI: https://doi.org/10.1007/978-94-017-1654-3_26
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