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A Co-Marginalistic Contribution Value For Set Games

Author

Listed:
  • HAO SUN

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi, 710072, China)

  • SHENGGUI ZHANG

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi, 710072, China)

  • XUELIANG LI

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi, 710072, China)

  • THEO DRIESSEN

    (Faculty of Mathematical Science, University of Twente, P. O. Box 217, 7500 AE, Enschede, The Netherlands)

  • CORNELIS HOEDE

    (Faculty of Mathematical Science, University of Twente, P. O. Box 217, 7500 AE, Enschede, The Netherlands)

Abstract

In this paper, a new value for set games, named co-marginalistic contribution value, is characterised by the standard axioms of global efficiency and equal treatment property, and another axiom of co-coalitional marginalistic monotonicity, which is a modification of the axiom of monotonicity. The co-marginalistic contribution value for set games is analogous to the solidarity value forn-person TU-games. Since the co-marginalistic contribution value does not satisfy the axiom of additivity, the proof of the characterisation is much different from that for TU-games.

Suggested Citation

  • Hao Sun & Shenggui Zhang & Xueliang Li & Theo Driessen & Cornelis Hoede, 2001. "A Co-Marginalistic Contribution Value For Set Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 3(04), pages 351-362.
    • Handle: RePEc:wsi:igtrxx:v:03:y:2001:i:04:n:s0219198901000452
    DOI: 10.1142/S0219198901000452
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    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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