منابع مشابه
Substantive Rationality and Backward Induction
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...
متن کاملUncertainty Aversion and Backward Induction ∗
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 ...
متن کاملAgent Connectedness and Backward Induction
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...
متن کاملEvolutionary dynamics and backward induction
The backward induction (or subgame-perfect) equilibrium of a perfect information game is shown to be the unique evolutionarily stable outcome for dynamic models consisting of selection and mutation, when the mutation rate is low and the populations are large.
متن کاملAxioms for Backward Induction
Following Kohlberg-Mertens [8, 1986], we investigate an axiomatic approach to non-cooperative solution concepts. A basic question in this program is identifying a backward-induction axiom (for general games). We show that three axioms—Existence, Rationality, and Difference—together characterize backward induction in perfect-information games satisfying a “single payoff condition.” We discuss im...
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ژورنال
عنوان ژورنال: Studies in Logic, Grammar and Rhetoric
سال: 2017
ISSN: 2199-6059,0860-150X
DOI: 10.1515/slgr-2017-0016