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Stability Of The Core In A Class Of Ntu Games: A Characterization

Author

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  • ANINDYA BHATTACHARYA

    (Groupe d'Economie Mathematique et de Modelisation Appliquee (GEMMA), Universite de Caen, Caen Cedex 14032, France)

  • AMIT K. BISWAS

    (SQC and OR Unit, Indian Statistical Institute, Chennai Center, 110 Nelson Manickam Marg, Aminjikarai, Chennai 600029, India)

Abstract

The core and the stable set are possibly the two most crucially important solution concepts for cooperative games. The relation between the two has been investigated in the context of symmetric transferable utility games and this has been related to the notion of large core. In this paper the relation between the von-Neumann–Morgenstern stability of the core and the largeness of it is investigated in the case of non-transferable utility (NTU) games. The main findings are that under certain regularity conditions, if the core of an NTU game is large then it is a stable set and for symmetric NTU games the core is a stable set if and only if it is large.

Suggested Citation

  • Anindya Bhattacharya & Amit K. Biswas, 2002. "Stability Of The Core In A Class Of Ntu Games: A Characterization," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 165-172.
    • Handle: RePEc:wsi:igtrxx:v:04:y:2002:i:02:n:s0219198902000628
    DOI: 10.1142/S0219198902000628
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    Cited by:

    1. Dinko Dimitrov & Shao Chin Sung, 2011. "Size Monotonicity and Stability of the Core in Hedonic Games," Working Papers 2011.52, Fondazione Eni Enrico Mattei.

    More about this item

    Keywords

    NTU games; core; stable set; large core;
    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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