Reasoning about rationality

A. Bjorndahl; J. Y. Halpern; R. Pass

doi:https://doi.org/10.1016/j.geb.2017.03.006

Reasoning about rationality

A. Bjorndahl, J. Y. Halpern, R. Pass

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a sound and complete axiomatization for a class of logics appropriate for reasoning about the rationality of players in games, and show that essentially the same axiomatization applies to a very wide class of decision rules. We also consider games in which players may be uncertain as to what decision rules their opponents are using, and define in this context a new solution concept, D-rationalizability.

Original language	English
Pages (from-to)	146-164
Number of pages	19
Journal	Games and Economic Behavior
Volume	104
DOIs	https://doi.org/10.1016/j.geb.2017.03.006
State	Published - 1 Jul 2017
Externally published	Yes

Keywords

Axiomatization
Decision rules
Epistemic game theory
Rationality
Rationalizability

All Science Journal Classification (ASJC) codes

Finance
Economics and Econometrics

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https://doi.org/10.1016/j.geb.2017.03.006

Cite this

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abstract = "We provide a sound and complete axiomatization for a class of logics appropriate for reasoning about the rationality of players in games, and show that essentially the same axiomatization applies to a very wide class of decision rules. We also consider games in which players may be uncertain as to what decision rules their opponents are using, and define in this context a new solution concept, D-rationalizability.",

keywords = "Axiomatization, Decision rules, Epistemic game theory, Rationality, Rationalizability",

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year = "2017",

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AU - Halpern, J. Y.

AU - Pass, R.

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N2 - We provide a sound and complete axiomatization for a class of logics appropriate for reasoning about the rationality of players in games, and show that essentially the same axiomatization applies to a very wide class of decision rules. We also consider games in which players may be uncertain as to what decision rules their opponents are using, and define in this context a new solution concept, D-rationalizability.

AB - We provide a sound and complete axiomatization for a class of logics appropriate for reasoning about the rationality of players in games, and show that essentially the same axiomatization applies to a very wide class of decision rules. We also consider games in which players may be uncertain as to what decision rules their opponents are using, and define in this context a new solution concept, D-rationalizability.

KW - Axiomatization

KW - Decision rules

KW - Epistemic game theory

KW - Rationality

KW - Rationalizability

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DO - https://doi.org/10.1016/j.geb.2017.03.006

M3 - مقالة

SN - 0899-8256

VL - 104

SP - 146

EP - 164

JO - Games and Economic Behavior

JF - Games and Economic Behavior

ER -

Reasoning about rationality

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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