On the non-existence of a rationality definition for extensive games

DOI10.1007/BF01753706zbMath0708.90093MaRDI QIDQ920856

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: International Journal of Game Theory (Search for Journal in Brave)

zbMATH Keywords

rationalityperfect informationextensive gamesaxiomatic solution concepts

Mathematics Subject Classification ID

2-person games (91A05)

Related Items (15)

Backward induction and common knowledge of rationality ⋮ An epistemic characterization of MACA ⋮ Game-theoretic axioms for local rationality and bounded knowledge ⋮ Independence on relative probability spaces and consistent assessments in game trees ⋮ The power of paradox: some recent developments in interactive epistemology ⋮ Evolutionary game theory: Darwinian dynamics and the \(G\) function approach ⋮ Epistemic foundation of the backward induction paradox ⋮ Investment behavior under Knightian uncertainty -- an evolutionary approach ⋮ ``Cautious utility maximation and iterated weak dominance ⋮ Dominance and innovation: a returns‐based beliefs approach ⋮ Evolutionary dynamics in finite populations can explain the full range of cooperative behaviors observed in the centipede game ⋮ Generalized backward induction: justification for a folk algorithm ⋮ Conditional dominance, rationalizability, and game forms ⋮ An experimental study of constant-sum centipede games ⋮ On the epistemic foundation for backward induction

Cites Work

• Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma
• On the inconsistency of certain axioms on solution concepts for non- cooperative games
• Modeling finitely-repeated games with uncertain termination
• Finite automata play the repeated prisoner's dilemma
• Strategic irrationality in extensive games
• Games of perfect information, predatory pricing and the chain-store paradox
• Rational cooperation in the finitely repeated prisoners' dilemma
• Reexamination of the perfectness concept for equilibrium points in extensive games
• The chain store paradox
• Rational behavior with payoff uncertainty
• Rationalizable Strategic Behavior and the Problem of Perfection
• Rationalizable Strategic Behavior
• A Refinement of Sequential Equilibrium
• Structural Consistency, Consistency, and Sequential Rationality
• Sequential Equilibria

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