On Nash-Cournot games with price caps. (English) Zbl 1266.91009

Summary: In this paper, we study an \(N\)-person Nash-Cournot game with a price cap. Under certain mild conditions, we show that this game can be formulated as a complementarity problem. Based on this formulation, we study various properties of the game, including equilibrium existence, computability, and a description of the equilibrium set when there are multiple equilibria.


91A10 Noncooperative games
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
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