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The Social Will-Testing Game and its Solution

2012/06/27 by Leonid Gurvits, Gurvits, Leonid, J. Stephen Judd +1
Biochemistry, Genetics and Molecular Biology · Computer Science · #Computer Science and Game Theory (cs.GT) #FOS: Biological sciences #FOS: Computer and information sciences #J.4 #Populations and Evolution (q-bio.PE) #cs.GT #q-bio.PE

paper · pdf · doi:10.48550/arxiv.1206.6148

6 pages, 1 figure

arxiv created 2012/06/27 · arxiv updated 2012/06/28

Abstract

We examine a two-person game we call Will-Testing in which the strategy space for both players is a real number. It has no equilibrium. When an infinitely large set of players plays this in all possible pairings, there is an equilibrium for the distribution of strategies which requires all players to use different strategies. We conjecture this solution could underlie some phenomena (like pecking orders) observed in animals.

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