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Probabilistic values for bicooperative games

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The present paper develops some general conditions under which we analize the bicooperative games introduced by Bilbao (2000). We define the probabilistic values for these games and observe in detail the axioms that characterize such values. Following the work of Weber (1988), these axioms are sequentially introduced observing how they have repercussions on the probabilistic value expression. Also, we introduce the compatible-order values and show the relationship between these values and the efficiency values such that their components are probabilistic values.

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File URL: http://public.centrodeestudiosandaluces.es/pdfs/E200454.pdf
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Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2004/54.

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Length: 22 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:cea:doctra:e2004_54

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Keywords: Bicooperative games; Probabilistic values; Compatible-order values;

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  1. Pradeep Dubey & Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 471, Cowles Foundation for Research in Economics, Yale University.
  2. MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer, Springer, vol. 26(3), pages 335-351.
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Cited by:
  1. Jesús Mario Bilbao & Julio R. Fernández & Nieves Jiménez & Jorge Jesús López, 2004. "The Shapley value for bicooperative games," Economic Working Papers at Centro de Estudios Andaluces, Centro de Estudios Andaluces E2004/56, Centro de Estudios Andaluces.

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