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On "Indifference" and Backward Induction in Games with Perfect Information (2307.04029v1)
Published 8 Jul 2023 in cs.AI
Abstract: Indifference of a player with respect to two distinct outcomes of a game cannot be handled by small perturbations, because the actual choice may have significant impact on other players, and cause them to act in a way that has significant impact of the indifferent player. It is argued that ties among rational choices can be resolved by refinements of the concept of rationality based on the utilities of other players. One such refinement is the concept of Tit-for-Tat.
- I. Arieli and R. J. Aumann. The logic of backward induction. Journal of Economic Theory, 159:443–464, 2015.
- R. J. Aumann. Backward induction and common knowledge of rationality. Games and Economic Behavior, 8(1):6–19, 1995.
- P. Battigalli and G. Bonanno. Recent results on belief, knowledge and the epistemic foundations of game theory. Research in Economics, 53(2):149–225, 1999.
- J. Hillas and D. Samet. Dominance rationality: A unified approach. Games and Economic Behavior, 119:189–196, 2020.
- N. Megiddo. Formation of preferences and strategic analysis: Can they be de-coupled? Research Report RJ 10218, IBM Almaden Research Center, San Jose, CA, 2003.
- N. Megiddo. Towards a formal analysis of emotions in games. Research Report RJ 10474, IBM Almaden Research Center, San Jose, CA, 2010.
- D. Samet. Hypothetical knowledge and games with perfect information. Games and economic behavior, 17(2):230–251, 1996.
- D. Samet. Common belief of rationality in games of perfect information. Games and Economic Behavior, 79:192–200, 2013.
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