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Nullifying vs. dummifying players or nullified vs. dummified players: The difference between the equal division value and the equal surplus division value

Author

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  • Casajus, André
  • Hüttner, Frank

Abstract

We provide new characterizations of the equal surplus division value and the equal division value as well as of the class of their convex mixtures. This way, the difference between the Shapley value, the equal division value, and the equal surplus division value is pinpointed to one axiom. Moreover, we shed light on solidarity principles embodied in the equal division value and in the equal surplus division values.

Suggested Citation

  • Casajus, André & Hüttner, Frank, 2012. "Nullifying vs. dummifying players or nullified vs. dummified players: The difference between the equal division value and the equal surplus division value," Working Papers 110, University of Leipzig, Faculty of Economics and Management Science.
  • Handle: RePEc:zbw:leiwps:110
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    References listed on IDEAS

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    1. Bretschger, Lucas & Steger, Thomas, 2013. "Globalization, The Volatility Of Intermediate Goods Prices, And Economic Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 17(02), pages 402-430, March.
    2. Grossmann, Volker & Steger, Thomas M. & Trimborn, Timo, 2013. "The macroeconomics of TANSTAAFL," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 76-85.
    3. McKinnon, Ronald & Schnabl, Gunther, 2008. "China's exchange rate impasse and the weak U.S. dollar," Working Papers 73, University of Leipzig, Faculty of Economics and Management Science.
    4. Schäfer, Andreas & Schneider, Maik T., 2015. "Endogenous Enforcement Of Intellectual Property, North–South Trade, And Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 19(05), pages 1074-1115, July.
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    Cited by:

    1. Sylvain Béal & André Casajus & Frank Huettner & Eric Rémila & Philippe Solal, 2016. "Characterizations of weighted and equal division values," Theory and Decision, Springer, vol. 80(4), pages 649-667, April.
    2. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.
    3. Sylvain Ferrières, 2016. "Smoothness, nullified equal loss property and equal division values," Working Papers 2016-01, CRESE.

    More about this item

    Keywords

    solidarity; nullifying player; equal division value; equal surplus division value; desirability;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D60 - Microeconomics - - Welfare Economics - - - General

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