Products of Several Relative Probabilities
This paper defines and develops the concept of a product dispersion over any finite number of dimensions. The concept itself is nontrivial because products over several dimensions cannot be constructed by an iterative binary operation. Yet the paper's most important contribution is to characterize product dispersions by means of monomials. This result is derived through elementary linear algebra, and can be used to characterize the consistency of beliefs in extensive-form games (Streufert (2006a)).
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- Lawrence Blume & Adam Brandenburger & Eddie Dekel, 2014.
"Lexicographic Probabilities and Choice Under Uncertainty,"
World Scientific Book Chapters,
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World Scientific Publishing Co. Pte. Ltd..
- Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Econometric Society, vol. 59(1), pages 61-79, January.
- Peter A. Streufert, 2006. "Characterizing Consistency by Monomials and by Product Dispersions," UWO Department of Economics Working Papers 20062, University of Western Ontario, Department of Economics.
- David M Kreps & Robert Wilson, 2003.
Levine's Working Paper Archive
618897000000000813, David K. Levine.
- Peter A. Streufert, 2004.
"Products of Representations Characterize the Products of Dispersions and the Consistency of Beliefs,"
Econometric Society 2004 North American Summer Meetings
548, Econometric Society.
- Peter A. Streufert, 2003. "Products of Representations Characterize the Products of Dispersions and the Consistency of Beliefs," UWO Department of Economics Working Papers 20039, University of Western Ontario, Department of Economics.
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- McLennan, Andrew, 1989. "The Space of Conditional Systems is a Ball," International Journal of Game Theory, Springer, vol. 18(2), pages 125-39.
- Vieille, Nicolas, 1996. "Conditional Systems Revisited," International Journal of Game Theory, Springer, vol. 25(2), pages 207-17.
- Kohlberg, Elon & Reny, Philip J., 1997. "Independence on Relative Probability Spaces and Consistent Assessments in Game Trees," Journal of Economic Theory, Elsevier, vol. 75(2), pages 280-313, August.
- Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer, vol. 21(1), pages 27-39.
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