Common belief of weak-dominance rationality in strategic-form games: A qualitative analysis

被引：8
|
作者：
Bonanno, Giacomo [1 ]
Tsakas, Elias [2 ]
机构：
[1] Univ Calif Davis, Dept Econ, Davis, CA 95616 USA
[2] Maastricht Univ, Dept Econ AE1, POB 616, NL-6200 MD Maastricht, Netherlands
来源：
GAMES AND ECONOMIC BEHAVIOR | 2018年 / 112卷
关键词：
Ordinal payoffs; Rationality; Common belief; Dominance; Iterated deletion procedure; RATIONALIZABILITY; PROBABILITY; LOGIC;
D O I：
10.1016/j.geb.2018.09.003
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We study common belief of weak-dominance rationality in strategic-form games with ordinal utilities, employing a qualitative model of beliefs. We characterize two standard solution concepts for such games: the Iterated Deletion of Borgers-dominated Strategies (IDBS) and the Iterated Deletion of Inferior Strategy Profiles (IDIP). We do so by imposing nested restrictions on the doxastic models: namely, the respective epistemic conditions differ in the fact that IDIP requires the truth axiom whereas IDBS does not. Hence, IDIP refines IDBS. (C) 2018 Elsevier Inc. All rights reserved.
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页码：231 / 241
页数：11
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