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- W2891283422 abstract "In a multi-objective game, each individual’s payoff is a vector-valued function of everyone’s actions. Under such vectorial payoffs, Pareto-efficiency is used to formulate each individual’s best-response condition, inducing Pareto-Nash equilibria as the fundamental solution concept. In this work, we follow a classical game-theoretic agenda to study equilibria. Firstly, we show in several ways that numerous pure-strategy Pareto-Nash equilibria exist. Secondly, we propose a more consistent extension to mixed-strategy equilibria. Thirdly, we introduce a measurement of the efficiency of multiple objectives games, which purpose is to keep the information on each objective: the multi-objective coordination ratio. Finally, we provide algorithms that compute Pareto-Nash equilibria and that compute or approximate the multi-objective coordination ratio." @default.
- W2891283422 created "2018-09-27" @default.
- W2891283422 creator A5051326809 @default.
- W2891283422 date "2018-01-01" @default.
- W2891283422 modified "2023-09-25" @default.
- W2891283422 title "On Existence, Mixtures, Computation and Efficiency in Multi-objective Games" @default.
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- W2891283422 doi "https://doi.org/10.1007/978-3-030-03098-8_13" @default.
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