SOME RESULTS ON (PRE)KERNEL CATCHERS AND THE COINCIDENCE OF THE KERNEL WITH PREKERNEL

Chih Chang () and Chrong-Hsin Lian
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Chih Chang: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
Chrong-Hsin Lian: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.

International Game Theory Review (IGTR), 2002, vol. 04, issue 03, 201-211

Abstract: The paper is devoted on the one hand to (pre)kernel catchers and on the other hand to the coincidence of the kernelKwith the prekernel PrK. Sufficient conditions for the coincidenceK =PrKare given by the inclusionsR* ⊆ XorL* ∩ R* ⊆ X. HereXdenotes the imputation set. The two setsR*andL*consist of those preimputations of which the payoffs are bounded above by player's maximal marginal contribution or bounded below by player's minimal marginal contribution.

Keywords: Kernel; prekernel; (pre)kernel catchers (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0219198902000653

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