Abstract
In this note we study how far the theory of strategic games with potentials, as reported by Monderer and Shapley (Games Econ Behav 14:124–143, 1996), can be extended to strategic games with vector payoffs, as reported by Shapley (Nav Res Logist Q 6:57–61, 1959). The problem of the existence of pure approximate Pareto equilibria for multicriteria potential games is also studied.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Patrone, F., Pusillo, L. & Tijs, S. Multicriteria games and potentials. TOP 15, 138–145 (2007). https://doi.org/10.1007/s11750-007-0008-1
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DOI: https://doi.org/10.1007/s11750-007-0008-1
Keywords
- Noncooperative potential games
- Multicriteria
- Pareto equilibria
- Approximate Pareto equilibria
- Supermodularity