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Converse consistent enlargements of the unit-level-core of the multi-choice games

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  • Yu-Hsien Liao

Abstract

We extend the reduced games introduced by Moulin (J Econ Theory 36:120–148, 1985 ) to multi-choice games, and define related properties of consistency and its converse. Since the unit-level-core proposed by Hwang and Liao (J Glob Optim 2009 ) violates (weak) converse consistency, we propose to minimally enlarge the unit-level-core so as to recover (weak) converse consistency. Copyright Springer-Verlag 2012

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  • Yu-Hsien Liao, 2012. "Converse consistent enlargements of the unit-level-core of the multi-choice games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(4), pages 743-753, December.
    • Handle: RePEc:spr:cejnor:v:20:y:2012:i:4:p:743-753
    DOI: 10.1007/s10100-011-0201-z
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    Cited by:

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