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Decomposition and Representation of Coalitional Games

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  • Massimo Marinacci

Abstract

A coalitional game is a real-valued set function v defined on an algebra F of subsets of a space X such that v(0)=0. We prove the existence of a one-to-one correspondence between coalitional games bounded with respect to the composition norm and countably additive measures defined on an appropriate space.

Suggested Citation

  • Massimo Marinacci, 1995. "Decomposition and Representation of Coalitional Games," Discussion Papers 1152, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1152
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    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1152.pdf
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    References listed on IDEAS

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    1. Itzhak Gilboa & David Schmeidler, 1992. "Additive Representation of Non-Additive Measures and the Choquet Integral," Discussion Papers 985, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Itzhak Gilboa & David Schmeidler, 1992. "Canonical Representation of Set Functions," Discussion Papers 986, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
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    Cited by:

    1. Massimo Marinacci & Luigi Montrucchio, 2002. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 18-2002, ICER - International Centre for Economic Research.

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