, Volume 15, Issue 1, pp 138–145 | Cite as

Multicriteria games and potentials

  • Fioravante Patrone
  • Lucia PusilloEmail author
  • Stef Tijs
Open Access
Original Paper


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.


Noncooperative potential games Multicriteria Pareto equilibria Approximate Pareto equilibria Supermodularity 

Mathematics Subject Classification (2000)



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Copyright information

© Sociedad de Estadística e Investigación Operativa 2007

Authors and Affiliations

  1. 1.DIPTEM, Sezione Metodi e Modelli Matematici, Facoltà di IngegneriaUniversity of GenoaGenoaItaly
  2. 2.DIMA, Department of MathematicsUniversity of GenoaGenoaItaly
  3. 3.CentER and Department of Econometrics and Operations ResearchTilburg UniversityTilburgThe Netherlands

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