Economics and Philosophy 20 (1):89-115 (2004)
|Abstract||A syntactic formalism for the modeling of belief revision in perfect information games is presented that allows to define the rationality of a player's choice of moves relative to the beliefs he holds as his respective decision nodes have been reached. In this setting, true common belief in the structure of the game and rationality held before the start of the game does not imply that backward induction will be played. To derive backward induction, a “forward belief” condition is formulated in terms of revised rather than initial beliefs. Alternative notions of rationality as well as the use of knowledge instead of belief are also studied within this framework. Footnotes1 I would like to thank Wlodek Rabinowicz and three anonymous referees for very helpful comments.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Giacomo Bonanno & Klaus Nehring (1998). On Stalnaker's Notion of Strong Rationalizability and Nash Equilibrium in Perfect Information Games. Theory and Decision 45 (3):291-295.
Giacomo Bonanno (2011). AGM Belief Revision in Dynamic Games. In Krzysztof Apt (ed.), Proceedings of the 13th Conference on Theoretical Aspects of Rationality and Knowledge (TARK XIII).
Giacomo Bonanno (2008). Belief Revision in a Temporal Framework. In Krzysztof Apt & Robert van Rooij (eds.), New Perspectives on Games and Interaction. Amsterdam University Press.
Martin Dufwenberg & Johan Lindén (1996). Inconsistencies in Extensive Games. Erkenntnis 45 (1):103 - 114.
Antonio Quesada (2002). Belief System Foundations of Backward Induction. Theory and Decision 53 (4):393-403.
Horacio Arló-Costa & Cristina Bicchieri (2007). Knowing and Supposing in Games of Perfect Information. Studia Logica 86 (3):353 - 373.
Horacio Arlo-Costa & Cristina Bicchieri (2007). Knowing and Supposing in Games of Perfect Information. Studia Logica 86 (3):353 - 373.
Boudewijn de Bruin (2008). Common Knowledge of Rationality in Extensive Games. Notre Dame Journal of Formal Logic 49 (3):261-280.
Thorsten Clausing (2003). Doxastic Conditions for Backward Induction. Theory and Decision 54 (4):315-336.
Added to index2009-01-28
Total downloads4 ( #188,769 of 722,749 )
Recent downloads (6 months)1 ( #60,247 of 722,749 )
How can I increase my downloads?