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Rationalizable partition-confirmed equilibrium (RPCE) describes the steady state outcomes of rational learning in extensive-form games, when rationality is common knowledge and players observe a partition of the terminal nodes. RPCE allows players to make inferences about unobserved play by...
Persistent link: https://www.econbiz.de/10010819346
We introduce a condition, Nash-equivalent self-confirming equilibrium. If beliefs are assumed to be independent and unitary, Nash-equivalent self-confirming equilibrium and Nash equilibrium are outcome-equivalent. We show that the set of Nash-equivalent self-confirming equilibria and the set of...
Persistent link: https://www.econbiz.de/10010573648
We define generalized extensive-form games which allow for mutual unawareness of actions. We extend Pearce's (1984) notion of extensive-form (correlated) rationalizability to this setting, explore its properties and prove existence. We define also a new variant of this solution concept, prudent...
Persistent link: https://www.econbiz.de/10005105671
We define generalized extensive-form games which allow for mutual unawareness of actions. We extend Pearce's (1984) notion of extensive-form (correlated) rationalizability to this setting, explore its properties and prove existence.
Persistent link: https://www.econbiz.de/10008917373
We define an extensive-form analogue of iterated admissibility, called Prudent Rationalizability (PR). In each round of the procedure, for each information set of a player a surviving strategy of hers is required to be rational vis-a-vis a belief system with a full-support belief on the...
Persistent link: https://www.econbiz.de/10008917375
We define generalized extensive-form games which allow for mutual unawareness of actions. We extend Pearce's (1984) notion of extensive-form (correlated) rationalizability to this setting, explore its properties and prove existence. We define also a new variant of this solution concept, prudent...
Persistent link: https://www.econbiz.de/10008620509
We define an extensive-form analogue of iterated admissibility, called Prudent Rationalizability (PR). In each round of the procedure, for each information set of a player a surviving strategy of hers is required to be rational vis-a-vis a belief system with a full-support belief on the...
Persistent link: https://www.econbiz.de/10009004199
We prove that the structure theorem for rationalizability originally from Weinstein and Yildiz (2007) applies to any finite extensive-form game with perfect recall and suitably rich payoffs. We demonstrate that the ties induced by the extensive form do not change the result of Weinstein and...
Persistent link: https://www.econbiz.de/10011049820
We define generalized extensive-form games which allow for asymmetric awareness of actions. We extend Pearceʼs (1984) notion of extensive-form (correlated) rationalizability to this setting, explore its properties, and prove existence.
Persistent link: https://www.econbiz.de/10011049860
Building on Battigalli and Dufwenberg (2009)'s framework of dynamic psychological games and the recent progress in the modeling of dynamic unawareness, we provide a general framework that allows for `unawareness' in the strategic interaction of players motivated by belief-dependent psychological...
Persistent link: https://www.econbiz.de/10008462065