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Finding all minimal curb sets

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  • Max Klimm

    (Max-Planck-Institut für Informatik - Max-Planck-Institut für Informatik)

  • Jörgen Weibull

    (SSE - Department of Economics - Stockholm School of Economics, Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)

Abstract

Sets closed under rational behavior were introduced by Basu and Weibull (1991) as subsets of the strategy space that contain all best replies to all strategy profiles in the set. We here consider a more restrictive notion of closure under rational behavior: a subset of the strategy space is strongly closed under rational behavior, or sCURB, if it contains all best replies to all probabilistic beliefs over the set. We present an algorithm that computes all minimal sCURB sets in any given finite game. Runtime measurements on two-player games (where the concepts of CURB and sCURB coincide) show that the algorithm is considerably faster than the earlier developed algorithm, that of Benisch et al. (2006).

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number hal-00442118.

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Date of creation: 18 Dec 2009
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Handle: RePEc:hal:wpaper:hal-00442118

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Related research

Keywords: curb set; rational behavior; algorithm; rationalizability.;

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