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Decomposition and Representation of Coalitional Games

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Author Info
Massimo Marinacci

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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.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1152.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1152.

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Date of creation: Dec 1995
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Handle: RePEc:nwu:cmsems:1152

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  1. Itzhak Gilboa & David Schmeidler, 1992. "Canonical Representation of Set Functions," Discussion Papers 986, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  2. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Chambers, Christopher P., 2005. "Quantiles and medians," Working Papers 1222, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  2. 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. [Downloadable!]
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This page was last updated on 2009-12-21.

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