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Analysis of Consistent Equilibria in a Mixed Duopoly
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- Kalashnikov Vyacheslav V.
- Tecnológico de Monterrey (ITESM) Central Economics & Mathematics Institute (CEMI), Russian Academy of Sciences (RAS) Sumy State University
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- Bulavsky Vladimir A.
- Central Economics & Mathematics Institute (CEMI), Russian Academy of Sciences (RAS)
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- Kalashnykova Nataliya I.
- Sumy State University Department of Physics & Maths (FCFM), Universidad Autónoma de Nuevo León (UANL)
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- Watada Junzo
- Graduate School of Information, Production and Systems, Waseda University
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- Hernández-Rodríguez Diego de Jesús
- Department of Physics & Maths (FCFM), Universidad Autónoma de Nuevo León (UANL)
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Description
<p>This paper examines a model of a mixed duopoly with conjectural variations equilibrium (CVE), in which one of the agents maximizes a convex combination of his/her net profit and domestic social surplus. The agents’ conjectures concern the price variations, which depend on their production output variations. Based on the already established existence and uniqueness results for the CVE (called the exterior equilibrium) for any set of feasible conjectures, the notion of interior equilibrium is introduced by developing a consistency criterion for the conjectures (referred to as influence coefficients), and the existence theorem for the interior equilibrium (understood as a CVE state with consistent conjectures) is proven. When the convex combination coefficient tends to 1, thus transforming the model into the mixed duopoly in its extreme form, two trends are apparent. First, for the private company, the equilibrium with consistent conjectures becomes more proficient than the Cournot-Nash equilibrium. Second, there exists a (unique) value of the combination coefficient such that the private agent’s profit is the same in both of the above-mentioned equilibria, which makes subsidies to the producer or to consumers unnecessary.</p>
Journal
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- Journal of Advanced Computational Intelligence and Intelligent Informatics
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Journal of Advanced Computational Intelligence and Intelligent Informatics 18 (6), 962-970, 2014-11-20
Fuji Technology Press Ltd.