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Finding all minimal CURB sets

  • Klimm, Max

    ()

    (Technische Universität Berlin)

  • Weibull, Jörgen

    ()

    (Dept. of Economics, Stockholm School of Economics)

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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Paper provided by Stockholm School of Economics in its series SSE/EFI Working Paper Series in Economics and Finance with number 722.

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Length: 20 pages
Date of creation: 01 Jul 2009
Date of revision:
Handle: RePEc:hhs:hastef:0722
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