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The Associated Solidarity Game of n-Person Transferable Utility Games: Linking the Solidarity Value to the Shapley Value

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  • Miamo Wendji, Clovis

Abstract

We introduce for any TU-game, a new TU-game referred as its associated solidarity game (ASG). The ASG gives more power to the grand coalition by reducing the payoffs of others coalitions. It comes that, the Shapley value of the ASG is the Solidarity value of the initial game.

Suggested Citation

  • Miamo Wendji, Clovis, 2015. "The Associated Solidarity Game of n-Person Transferable Utility Games: Linking the Solidarity Value to the Shapley Value," MPRA Paper 69054, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:69054
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    File URL: https://mpra.ub.uni-muenchen.de/69054/1/MPRA_paper_69054.pdf
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    References listed on IDEAS

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    1. Nowak, Andrzej S & Radzik, Tadeusz, 1994. "A Solidarity Value for n-Person Transferable Utility Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 43-48.
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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