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A Note on a Class of Solutions for Games with Externalities Generalizing the Shapley Value

Author

Listed:
  • Joss Sánchez-Pérez

    (Facultad de Economía, UASLP, San Luis Potosí, México)

Abstract

In this paper we study a family of extensions of the Shapley value for games in partition function form withnplayers. In particular, we provide a complete characterization for all linear, symmetric, efficient and null solutions in these environments. Finally, we relate our characterization result with other ways to extend the Shapley value in the literature.

Suggested Citation

  • Joss Sánchez-Pérez, 2015. "A Note on a Class of Solutions for Games with Externalities Generalizing the Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 1-12.
    • Handle: RePEc:wsi:igtrxx:v:17:y:2015:i:03:n:s0219198915500036
    DOI: 10.1142/S0219198915500036
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    Keywords

    Games in partition function form; Shapley value; integer partition;
    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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