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math.PR2024
Finding pure Nash equilibria in large random games
Andrea Collevecchio, Tuan-Minh Nguyen, Ziwen Zhong
Best Response Dynamics (BRD) is a class of strategy updating rules to find Pure Nash Equilibria (PNE) in a game. At each step, a player is randomly picked, and the player switches…
math.PR2024
Strongly vertex-reinforced jump process on graphs with bounded degree
Andrea Collevecchio, Tuan-Minh Nguyen
We study asymptotic behaviours of a non-linear vertex-reinforced jump process defined on an arbitrary infinite graph with bounded degree. We prove that if the reinforcement functio…