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Public Good Indices for Games with Several Levels of Approval

Author

Listed:
  • Courtin Sébastien

    (Universite de Caen Basse-Normandie, Caen, Basse-Normandie, France)

  • Tchantcho Bertrand

    (University of Yaounde I Ecole Normale Superieure, Yaounde, Region du Centre, Cameroon)

Abstract

This work focuses on (j, 2) games in which there are several levels of approval in the input, i. e. games with n players, j ordered qualitative alternatives in the input level and 2 possible ordered quantitative alternatives in the output. When considering (j, 2) games, we extend the Public Good index (PGI), the Null Player Free index (NPFI) and the Shift index (SI) and provide full characterizations of these extensions.

Suggested Citation

  • Courtin Sébastien & Tchantcho Bertrand, 2020. "Public Good Indices for Games with Several Levels of Approval," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-16, January.
    • Handle: RePEc:bpj:bejtec:v:20:y:2020:i:1:p:16:n:9
    DOI: 10.1515/bejte-2019-0068
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    More about this item

    Keywords

    (j; 2) games; shift index; public good index; null player free index;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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