A Nash equilibrium solution in an oligopoly market: The search for Nash equilibrium solutions with replicator equations derived from the gradient dynamics of a simplex algorithm

DOI10.1016/J.MATCOM.2008.10.009zbMath1168.91365OpenAlexW2079012718MaRDI QIDQ834286

Eitaro Aiyoshi, Atsushi Maki

Publication date: 19 August 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.10.009

zbMATH Keywords

replicator dynamicsNash equilibriumoligopoly

Mathematics Subject Classification ID

Economic growth models (91B62) Auctions, bargaining, bidding and selling, and other market models (91B26)

Related Items (3)

Competition and market segmentation of the call center service supply chain ⋮ Chaotic dynamics in nonlinear duopoly Stackelberg game with heterogeneous players ⋮ The robustness of a Nash equilibrium simulation model: game-theoretic approach using variable metric projection method

Cites Work

• Distributed algorithms for the computation of noncooperative equilibria
• Evolutionarily stable strategies and game dynamics
• Computation of Nash equilibria: Admissibility of parallel gradient descent
• Dynamical Systems which Solve Optimization Problems with Linear Constraints
• Existence and Uniqueness of Equilibrium Points for Concave N-Person Games

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