Abstract
The impact of a random production output on the expected commercial manufacture and price and also on the outputs and profits of companies is investigated. It is proved that the asymmetry of interactions between decision makers, in particular, the asymmetry of uncertainty can lead to the advantage of a leader and to generalized Cournot-Stackelberg-Nash equilibriums.
Similar content being viewed by others
References
N. N. Vorob’yov, Foundations of Noncooperative Game Theory [in Russian], Nauka, Moscow (1984).
N. N. Vorob’yov, Game Theory for Economists-Cyberneticists [in Russian], Nauka, Moscow (1985).
V. M. Gorbachuk, “Synthetic Cournot-Stackelberg-Nash equilibrium,” Theory of Optimal Solutions, 2, 71–77 (2003).
V. M. Gorbachuk, “Generalized Cournot-Stackelberg-Nash Equilibrium,” Cybernetics and Systems Analysis, No. 1, 3–9 (2006).
V. Gorbachuk, “To solving a problem of natural gas supply and transit,” in: Intern. Conf. on Applied Optimization and Metaheuristic Innovations in Honor of the 70-th Birthday of Academician I. V. Sergienko (July 19–21, 2006, Yalta, Ukraine), V. M. Glushkov Cybernetics Institute & Texas A&M University (2006), pp. 26–27.
D. de Wolf and Y. Smeers, “A stochastic version of a Stackelberg-Nash-Cournot model,” Manag. Sci., Febr., 190–197 (1997).
Yu. M. Ermoliev and S. D. Flaam, “Learning in potential games,” IR-97-002, IIASA, Laxenburg, Austria (1997).
Yu. M. Ermoliev and S. D. Flaam, “On mutual insurance,” IR-00-002, IIASA, Laxenburg, Austria (2000).
Yu. M. Ermoliev and S. D. Flaam, “Finding Pareto optimal insurance contracts,” IR-00-033, IIASA Laxenburg, Austria (2000).
Yu. M. Ermoliev and S. D. Flaam, “Repeated play of potential games,” Cybernetics and Systems Analysis, No. 3, 52–67 (2002).
S. D. Flaam and Yu. M. Ermoliev, “Investment, uncertainty, and production games,” CESifo Working Paper, 1191 (2004).
V. M. Gorbachuk and S. G. Nenakhova, “Behavior of a competitive company under uncertainty,” Optimal decision theory, No. 3, 74–80 (2004).
Author information
Authors and Affiliations
Additional information
__________
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 3–10, July–August 2007.
Rights and permissions
About this article
Cite this article
Gorbachuk, V.M. An asymmetric Cournot-Nash equilibrium under uncertainty as a generalized Cournot-Stackelberg-Nash equilibrium. Cybern Syst Anal 43, 471–477 (2007). https://doi.org/10.1007/s10559-007-0073-3
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10559-007-0073-3