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The precore: converse consistent enlargements and alternative axiomatic results

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  • Yu-Hsien Liao

    (National Pingtung University)

Abstract

Since the precore violates (weak) converse consistency, two converse consistent enlargements are proposed. These two converse consistent enlargements are the smallest (weak) converse consistent solutions that contain the precore. On the other hand, we turn to a different notion of the reduction by considering the players and the activity levels simultaneously. Based on such revised reductions, we offer several axiomatizations of the precore.

Suggested Citation

  • Yu-Hsien Liao, 2018. "The precore: converse consistent enlargements and alternative axiomatic results," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 146-163, April.
    • Handle: RePEc:spr:topjnl:v:26:y:2018:i:1:d:10.1007_s11750-017-0463-2
    DOI: 10.1007/s11750-017-0463-2
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    References listed on IDEAS

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    10. 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.
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    Cited by:

    1. Yan-An Hwang & Yu-Hsien Liao, 2023. "Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore," Mathematics, MDPI, vol. 11(13), pages 1-12, June.

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