Population Games and Discrete Optimal Transport
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9507-5
Abstract: We propose an evolutionary dynamics for population games with discrete strategy sets, inspired by optimal transport theory and mean field games. The proposed dynamics is the Smith dynamics with strategy graph structure, in which payoffs… read more here.
Keywords: population games; games discrete; optimal transport; transport ... See more keywords
Essential stability of cooperative equilibria for population games
Sign Up to like & getrecommendations! Published in 2019 at "Optimization Letters"
DOI: 10.1007/s11590-018-1303-5
Abstract: In this paper, we first introduce the notion of cooperative equilibria for population games and prove its existence theorem by Proposition 2 in Kajii (J Econ Theory 56:194–205, 1992). We next identify a residual dense… read more here.
Keywords: essential stability; cooperative equilibria; population games; equilibria population ... See more keywords
On Distributed Nash Equilibrium Seeking in a Class of Contractive Population Games
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DOI: 10.1109/lcsys.2022.3182625
Abstract: In this letter, we consider the framework of population games and evolutionary dynamics. Based on such a framework, we formulate a novel approach for distributed Nash equilibrium seeking under partial-decision information for a class of… read more here.
Keywords: distributed nash; nash equilibrium; population games; population ... See more keywords
Population Games on Dynamic Community Networks
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.48550/arxiv.2203.00371
Abstract: In this letter, we deal with evolutionary game-theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic, continuous-time replicator equation on a… read more here.
Keywords: population games; community; game; process ... See more keywords