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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. -- Unawareness ; extensive-form games ; extensive-form...
Persistent link: https://www.econbiz.de/10009542457
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/10009544217
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/10003878990
Aumann has proved that common knowledge of substantive rationality implies the backwards induction solution in games of …
Persistent link: https://www.econbiz.de/10014139406
We study (interim correlated) rationalizability in a game with incomplete information. We characterize the recursive set of possible rationalizable hierarchies through a finite automaton and provide a revelation principle that characterizes the distributions over these hierarchies that arise...
Persistent link: https://www.econbiz.de/10014243353
There exist three equivalent definitions of perfect Nash equilibria which differ in the way "best responses against small perturbations" are defined. It is shown that applying the spirit of these definitions to rationalizability leads to three different refinements of rationalizable strategies...
Persistent link: https://www.econbiz.de/10014200946
Theoretically, this work relaxes the rationality behind IESDS in the normal-form game and Backward Induction in the … extensive-form game, namely common p-believe in rationality in the normal-form game and common p-belief in the opponent’s future … rationality in the extensive-form game. Exper- imentally, this work uses the experimental data from Masaki, Guillaume, and Sevgi …
Persistent link: https://www.econbiz.de/10014357433
Games in which players aim to guess a fraction or multiple p of the average guess are known as guessing games or (p-)beauty contests. In this note, we derive a full characterization of the set of rationalizable strategies and the set of pure strategy Nash equilibria for such games as a function...
Persistent link: https://www.econbiz.de/10012962808
In the literature of psychology and economics it is frequently observed that individuals tend to imitate similar individuals. A fundamental question is whether the outcome of such imitation can be consistent with self-interested behaviour. We propose that this consistency requires the existence...
Persistent link: https://www.econbiz.de/10011593822
characterizes common certainty of rationality in the universal type space. …
Persistent link: https://www.econbiz.de/10011702628