Why forward induction leads to the backward induction outcome: a new proof for Battigalli's theorem

DOI10.1016/j.geb.2018.04.001zbMath1400.91094OpenAlexW2797332813WikidataQ130039976 ScholiaQ130039976MaRDI QIDQ1651228

Andrés Perea

Publication date: 12 July 2018

Published in: Games and Economic Behavior (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geb.2018.04.001

zbMATH Keywords

monotonicitybackward inductionextensive-form rationalizabilityforward inductionorder independenceBattigalli's theorem

Mathematics Subject Classification ID

Games in extensive form (91A18) Dynamic games (91A25) Rationality and learning in game theory (91A26)

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Cites Work

• Robust dynamic implementation
• The logic of backward induction
• Keep `hoping' for rationality: a solution to the backward induction paradox
• Strategy subsets closed under rational behavior
• Conditional dominance, rationalizability, and game forms
• On rationalizability in extensive games
• Strong belief and forward induction reasoning.
• On the outcome equivalence of backward induction and extensive form rationalizability
• Belief in the opponents' future rationality
• Rationalizable Strategic Behavior and the Problem of Perfection
• Sequential Equilibria
• Backward Induction, Normal Form Perfection and Explicable Equilibria
• The order independence of iterated dominance in extensive games
• On the Strategic Stability of Equilibria

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