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Some Results On (Pre)Kernel Catchers And The Coincidence Of The Kernel With Prekernel



    () (Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.)


    (Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.)


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.

Suggested Citation

  • Chih Chang & Chrong-Hsin Lian, 2002. "Some Results On (Pre)Kernel Catchers And The Coincidence Of The Kernel With Prekernel," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 201-211.
  • Handle: RePEc:wsi:igtrxx:v:04:y:2002:i:03:n:s0219198902000653
    DOI: 10.1142/S0219198902000653

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    Cited by:

    1. Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.

    More about this item


    Kernel; prekernel; (pre)kernel catchers;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics


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