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Pré-Publication, Document De Travail Année : 2024

Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory

Résumé

In this article, we study the long-time asymptotic properties of a non-linear and non-local equation of diffusive type which describes the rock-paper-scissors game in an interconnected population. We fully characterize the self-similar solution and then prove that the solution of the initial-boundary value problem converges to the self-similar profile with an algebraic rate.
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Dates et versions

hal-04649353 , version 1 (16-07-2024)

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  • HAL Id : hal-04649353 , version 1

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Marco A. Fontelos, Nastassia Pouradier Duteil, Francesco Salvarani. Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory. 2024. ⟨hal-04649353⟩
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