TY - GEN

T1 - A logical characterization of iterated admissibility

AU - Halpern, Joseph Y.

AU - Pass, Rafael

PY - 2009

Y1 - 2009

N2 - Brandenburger, Friedenberg, and Keisler provide an epistemic characterization of iterated admissibility (i.e., iterated deletion of weakly dominated strategies) where uncertainty is represented using LPSs (lexicographic probability sequences). Their characterization holds in a rich structure called a complete structure, where all types are possible. Here, a logical characterization of iterated admissibility is given that involves only standard probability and holds in all structures, not just complete structures. Roughly speaking, our characterization shows that iterated admissibility captures the intuition that "all the agent knows" is that agents satisfy the appropriate rationality assumptions.

AB - Brandenburger, Friedenberg, and Keisler provide an epistemic characterization of iterated admissibility (i.e., iterated deletion of weakly dominated strategies) where uncertainty is represented using LPSs (lexicographic probability sequences). Their characterization holds in a rich structure called a complete structure, where all types are possible. Here, a logical characterization of iterated admissibility is given that involves only standard probability and holds in all structures, not just complete structures. Roughly speaking, our characterization shows that iterated admissibility captures the intuition that "all the agent knows" is that agents satisfy the appropriate rationality assumptions.

UR - http://www.scopus.com/inward/record.url?scp=70350648681&partnerID=8YFLogxK

U2 - 10.1145/1562814.1562836

DO - 10.1145/1562814.1562836

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AN - SCOPUS:70350648681

SN - 9781605585604

T3 - Proceedings of the 12th Conference on Theoretical Aspects of Rationality and Knowledge, TARK '09

SP - 146

EP - 155

BT - Proceedings of the 12th Conference on Theoretical Aspects of Rationality and Knowledge, TARK '09

T2 - 12th Conference on Theoretical Aspects of Rationality and Knowledge, TARK '09

Y2 - 6 July 2009 through 8 July 2009

ER -