COMPUTING COURNOT-NASH EQUILIBRIA

• 成果类型: Article
• 署名作者: KOLSTAD, CD; MATHIESEN, L
• 署名单位: University of Illinois System; University of Illinois Urbana-Champaign; Norwegian School of Economics (NHH); Norwegian School of Economics (NHH); Massachusetts Institute of Technology (MIT)
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.39.5.739
• 发表日期: 1991
• 页码: 739-748
• 关键词: GAMES GROUP DECISIONS; noncooperative; DIFFERENTIAL

摘要

This paper examines convergence criteria of an algorithm for the computation of Cournot-Nash economic equilibria. The method is based on formulating the equilibrium problem as that of finding a solution to a nonlinear complementarity problem, solved by sequential linearization and Lemke's algorithm. Conditions for local and global convergence are developed and the technique is applied to homogeneous, segmented and differentiated product markets.