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• W2034641272 abstract "In this paper, we analyze the mean number (E(n,d)) of internal equilibria in a general (d)-player (n)-strategy evolutionary game where the agents’ payoffs are normally distributed. First, we give a computationally implementable formula for the general case. Next, we characterize the asymptotic behavior of (E(2,d)), estimating its lower and upper bounds as (d) increases. Then we provide a closed formula for (E(n,2)). Two important consequences are obtained from this analysis. On the one hand, we show that in both cases, the probability of seeing the maximal possible number of equilibria tends to zero when (d) or (n), respectively, goes to infinity. On the other hand, we demonstrate that the expected number of stable equilibria is bounded within a certain interval. Finally, for larger (n) and (d), numerical results are provided and discussed." @default.
• W2034641272 created "2016-06-24" @default.
• W2034641272 creator A5065883363 @default.
• W2034641272 date "2015-03-25" @default.
• W2034641272 modified "2023-09-24" @default.
• W2034641272 title "On the Expected Number of Equilibria in a Multi-player Multi-strategy Evolutionary Game" @default.
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• W2034641272 doi "https://doi.org/10.1007/s13235-015-0148-0" @default.
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