Uncertain information structures and backward induction
نویسندگان
چکیده
منابع مشابه
Branching Time, Perfect Information Games, and Backward Induction
The logical foundations of game-theoretic solution concepts have so far been explored within the con ̄nes of epistemic logic. In this paper we turn to a di®erent branch of modal logic, namely temporal logic, and propose to view the solution of a game as a complete prediction about future play. The branching time framework is extended by adding agents and by de ̄ning the notion of prediction. A sy...
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Aumann has proved that common knowledge of substantive ratio-nality implies the backwards induction solution in games of perfect information. Stalnaker has proved that it does not. Roughly speaking , a player is substantively rational if, for all vertices v, if the player were to reach vertex v, then the player would be rational at vertex v". It is shown here that the key diierence between Auma...
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In the context of the centipede game this paper discusses a solution concept for extensive games that is based on subgame perfection and uncertainty aversion. Players who deviate from the equilibrium path are considered nonrational. Rational players who face non-rational opponents face genuine uncertainty and may have non-additive beliefs about their future play. Rational players are boundedly ...
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We analyze the sequential structure of dynamic games with perfect information. A three-stage account is proposed, that specifies setup, reasoning and play stages. Accordingly, we define a player as a set of agents corresponding to these three stages. The notion of agent connectedness is introduced into a type-based epistemic model. Agent connectedness measures the extent to which agents’ choice...
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ژورنال
عنوان ژورنال: Journal of Mathematical Economics
سال: 2017
ISSN: 0304-4068
DOI: 10.1016/j.jmateco.2017.05.004