A mathematical programming approach for determining oligopolistic market equilibrium
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Publication:3947414
DOI10.1007/BF01585096zbMath0486.90015MaRDI QIDQ3947414
Hanif D. Sherali, Frederic H. Murphy, Allen L. Soyster
Publication date: 1982
Published in: Mathematical Programming (Search for Journal in Brave)
algorithmfixed pointsNash equilibriadetermination of oligopolistic market equilibriafamily of convex programs
Convex programming (90C25) Applications of mathematical programming (90C90) Microeconomic theory (price theory and economic markets) (91B24) General equilibrium theory (91B50)
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Cites Work
- Unnamed Item
- Expectations and stability in oligopoly models
- Non-cooperative games
- Determining Optimal Use of Resources among Regional Producers under Differing Levels of Cooperation
- Imperfect Competition in the International Energy Market: A Computerized Nash-Cournot Model
- A New Proof of the Existence and Uniqueness of the Cournot Equilibrium
- Equilibrium Points of Bimatrix Games
- Computing Equilibria of N-Person Games
- On a Generalization of the Lemke–Howson Algorithm to Noncooperative N-Person Games