Can Free Choice Be Known?
In this note we reconsider an argument, borrowed from causal decision theory, according to which rational and identical players should cooperate in a one-shot prisoner's dilemma. We argue that, regardless of how one views this type of reasoning, the example rpoints at a possible inconsistency in standard formulations of knowledge and decision. We suggest that when formalizing notions of "decision," "choice," and "rationality," care must be taken not to assume knowledge of one's own choice. Finally, the relationships to the classical problems of causal decision theory and of dterminism versus free will are briefly discussed.
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- Itzhak Gilboa & David Schmeidler, 1988.
"Information Dependent Games: Can Common Sense Be Common Knowledge?,"
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"Correlated Equilibrium as an Expression of Bayesian Rationality,"
Econometric Society, vol. 55(1), pages 1-18, January.
- R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
- Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
- Werlang, Sérgio Ribeiro da Costa, 1988. "Common knowledge," Economics Working Papers (Ensaios Economicos da EPGE) 118, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Peter J. Hammond, 1976. "Changing Tastes and Coherent Dynamic Choice," Review of Economic Studies, Oxford University Press, vol. 43(1), pages 159-173.
- Georg Nöldeke & Eric van Damme, 1990. "Switching Away From Probability One Beliefs," Discussion Paper Serie A 304, University of Bonn, Germany.
- Bezalel Peleg & Menahem E. Yaari, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 391-401.
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