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A Pleasant Homeomorphism for Conditional Probability Systems

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Abstract

Suppose that there are n states, each denoted by i. This paper shows that the function [p_{i|E}] is a homeomorphism from the set of conditional probability systems onto the convex hull of all permutations of the n-dimensional vector (0,1,2,... n-1).

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  • Peter A. Streufert, 2002. "A Pleasant Homeomorphism for Conditional Probability Systems," University of Western Ontario, Departmental Research Report Series 200211, University of Western Ontario, Department of Economics.
    • Handle: RePEc:uwo:uwowop:200211
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    File URL: https://ir.lib.uwo.ca/cgi/viewcontent.cgi?article=1394&context=economicsresrpt
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    1. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 27-39.
    2. Vieille, Nicolas, 1996. "Conditional Systems Revisited," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(2), pages 207-217.
    3. McLennan, Andrew, 1989. "Consistent Conditional Systems in Noncooperative Game Theory," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(2), pages 141-174.
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