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Advances in Decision Sciences
Article . 2014 . Peer-reviewed
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Advances in Decision Sciences
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Subjective Rationalizability in Hypergames

Subjective rationalizability in hypergames
Authors: Yasuo Sasaki;

Subjective Rationalizability in Hypergames

Abstract

A new solution concept for hypergames called subjective rationalizability is proposed. Hypergame theory is a game theoretical framework that deals with agents who may misperceive game structures and explicitly takes into account hierarchy of perceptions, that is, an agent’s view about another agent’s view and so on. An action of an agent is called subjectively rationalizable when the agent thinks it can be a best response to the other’s choices, each of which the agent thinks each agent thinks is a best response to the other’s choices, and so on. Then it is proved that subjective rationalizability is equivalent to the standard notion of rationalizability under a condition called inside common knowledge. The result makes the new solution concept a practical tool in hypergame analyses. Theoretically, it is characterized as such a concept that provides the precise implication, that is, predicted outcomes, of a given hypergame structure.

Keywords

Hierarchical games (including Stackelberg games), Rationality and learning in game theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Average
gold