Differential Game-Theoretic Models of Cournot Oligopoly with Consideration of the Green Effect

Guennady Ougolnitsky () and Anatoly Usov
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Guennady Ougolnitsky: I.I. Vorovich Institute for Mathematics, Mechanics, and Computer Science, Southern Federal University, 344090 Rostov-on-Don, Russia
Anatoly Usov: I.I. Vorovich Institute for Mathematics, Mechanics, and Computer Science, Southern Federal University, 344090 Rostov-on-Don, Russia

Games, 2023, vol. 14, issue 1, 1-18

Abstract: We built and investigated analytically and numerically a differential game model of Cournot oligopoly with consideration of pollution for the general case and the case of symmetrical agents. We conducted a comparative analysis of selfish agents’ behavior (a differential game in normal form), their hierarchical organization (differential Stackelberg games), and cooperation (optimal control problem) using individual and collective indices of relative efficiency. The same analysis wasperformed for the models with the green effect when players chose both output volumes and environmental protection efforts. We used the Pontryagin maximum principle for analytical investigation and the method of qualitatively representative scenarios in simulation modeling for numerical calculations. This method allows for reducing the number of computer simulations, providing sufficient precision. As a result of the comparative analysis, systems of collective and individual preferences were obtained.

Keywords: differential game theory; Cournot oligopoly; green effect; simulation modeling (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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