Nonlinear Games

Ferenc Szidarovszky ()
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Ferenc Szidarovszky: The University of Arizona

A chapter in Pareto Optimality, Game Theory And Equilibria, 2008, pp 95-117 from Springer

Abstract: This paper gives an overview of the existence and computation of equilibrium in nonlinear n-person games. After some introductory examples, sufficient existence results are presented in both cases of single-valued and multiple-valued best responses. The uniqueness of the equilibrium is also shown under general conditions. A special iterative method is discussed for the computation of the unique equilibrium based on a variational inequality, and a single-objective optimization model is introduced to provide the equilibria. An example of repeated oligopolies completes the paper.

Keywords: Nash equilibria; fixed points; variational inequality; optimization (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-77247-9_4

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DOI: 10.1007/978-0-387-77247-9_4

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