Cournot equilibrium without apology: Existence and the Cournot inverse demand function |
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| Authors: | Isabel Grilo Jean-François Mertens |
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| Institution: | 1. European Commission, rue de la Loi, B-1049 Bruxelles, Belgium;2. GREMARS, Université de Lille 3, France;3. CORE, Université Catholique de Louvain, 34, Voie du Roman-Pays, B-1348 Louvain-la-Neuve, Belgium;1. Department of Law, University of Genoa, Via Balbi, 30/19, I-16126 Genoa (GE), Italy;2. Department of Management, Polytechnic University of Marche, Piazza Martelli 8, I-60121 Ancona (AN), Italy;3. Department of Economics and Management, University of Pisa, Via Cosimo Ridolfi, 10, I-56124 Pisa (PI), Italy;1. Chair of Analytical Chemistry, Faculty of Chemistry, University of Sofia “St. Kl. Okhridski”, 1164 Sofia, 1, J. Bourchier Blvd., Bulgaria;2. Department of Analytical Chemistry, Chemical Faculty, Gdansk University of Technology, 11/12 Naturowicza, 80-233 Gdansk, Poland;3. Medical University of Gdańsk, Inter-Faculty Institute of Maritime and Tropical Medicine, Department of Environmental Toxicology, Powstania Styczniowego Str., 9b, 81-519 Gdynia, Poland;1. School of Mathematical Sciences, Nankai University, Tianjin, 300071, PR China;2. College of Science, Civil Aviation University of China, Tianjin, 300300, PR China;1. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt;2. Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt |
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| Abstract: | In a multi-commodity framework with absence of wealth effects, we prove the existence of equilibrium for Cournot oligopoly, and that the concept is completely non-ambiguous. We also obtain a uniquely defined endogenous inverse demand function, depending only on the competitive sector. |
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