Uniqueness of Nash equilibrium in continuous two-player weighted potential games

Caruso, Francesco; Ceparano, Maria Carmela; Morgan, Jacqueline

doi:10.1016/j.jmaa.2017.11.031

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Discussion Of Results Of Forecasting a Search For The Nash E1

Literature Review and Problem Statement1

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Cited by 11 publications

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“…An analysis of the non-local convergence of regulators of the extremum search applied to general convex systems showed that potential surfaces of the payoff function with its associated response curves, which lie in a set of actions and determined extremal that lie outside U, overlap each other (16), (17), for non-quadratic payoff functions.…”

Section: Discussion Of Results Of Forecasting a Search For The Nash Ementioning

confidence: 99%

“…Work [16] investigated a potential function that guarantees one and only one Nash equilibrium when such a function is not strictly concave and there is no ensuring of existence of a maximum. It presented conditions of sufficiency for balanced potential games for two players when sets of strategies are valid Hilbert spaces.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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