A necessary and sufficient epistemic condition for playing backward induction

DOI10.1016/S0304-4068(96)00776-8zbMath0883.90127OpenAlexW1968961993WikidataQ57944323 ScholiaQ57944323MaRDI QIDQ1367854

Dieter Balkenborg, Eyal Winter

Publication date: 1 October 1997

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4068(96)00776-8

zbMATH Keywords

subgame perfectionbackward inductioncommon knowledgeextensive games

Mathematics Subject Classification ID

Noncooperative games (91A10) Economics of information (91B44)

Related Items (12)

Behavior and deliberation in perfect-information games: Nash equilibrium and backward induction ⋮ Subjective reasoning -- dynamic games ⋮ Proper belief revision and rationalizability in dynamic games ⋮ Cooperate without looking in a non-repeated game ⋮ The power of paradox: some recent developments in interactive epistemology ⋮ Hierarchies of conditional beliefs and interactive epistemology in dynamic games ⋮ Minimal belief revision leads to backward induction ⋮ Why Bother with Syntax? ⋮ From Common Knowledge of Rationality to Backward Induction ⋮ Game logic and its applications. I ⋮ Chess-like games are dominance solvable in at most two steps ⋮ On the epistemic foundation for backward induction

Cites Work

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• On the robustness of equilibrium refinements
• Games of perfect information, predatory pricing and the chain-store paradox
• Predation, reputation, and entry deterrence
• Reputation and imperfect information
• The chain store paradox
• Backward induction and common knowledge of rationality

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