Han, Lanshan; Liu, Andrew L. On Nash-Cournot games with price caps. (English) Zbl 1266.91009 Oper. Res. Lett. 41, No. 1, 92-97 (2013). 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. Cited in 2 Documents MSC: 91A10 Noncooperative games 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) Keywords:generalized Nash equilibrium; Nash-Cournot; linear complementarity problem PDFBibTeX XMLCite \textit{L. Han} and \textit{A. L. Liu}, Oper. Res. Lett. 41, No. 1, 92--97 (2013; Zbl 1266.91009) Full Text: DOI