Evolutionarily stable strategies of random games, and the vertices of random polygons

DOI10.1214/07-AAP455zbMath1132.91352arXiv0801.3353MaRDI QIDQ2476406

Sergiu Hart, Benjamin Weiss, Yosef Rinott

Publication date: 19 March 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3353

zbMATH Keywords

Nash equilibriumheavy-tailed distributionrandom polytopePoisson approximationevolutionarily stable strategyESSsubexponential distributionChen-Stein methodconvex hull of random pointsrandom gamethreshold phenomenon

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Evolutionary games (91A22) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Limit theorems in probability theory (60F99)

Related Items (5)

Existence of Evolutionarily Stable Strategies Remains Hard to Decide for a Wide Range of Payoff Values ⋮ On the expected number of equilibria in a multi-player multi-strategy evolutionary game ⋮ Analysis of the expected density of internal equilibria in random evolutionary multi-player multi-strategy games ⋮ Approximating dependent rare events ⋮ Connectivity and equilibrium in random games

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