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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v40.i12.50
pages 61-70

The Cartel Optimum and the Reasonable Cournot−Nash Equilibrium for Fractional Objective Functions

Vasiliy M. Gorbachuk
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev

ABSTRACT

For fractional objective functions the criterion that the classic Cournot−Nash equilibrium gives the profitability below 100 % is found, and in that case it is suggested to consider the reasonable Cournot−Nash equilibrium. The latter is a projection of the classic equilibrium on the constructed set. For fractional objective functions the production of a firm in the Cournot−Nash equilibrium exceeds the production of a firm in the cartel optimum, but the proportion of the corresponding profits is ambiguous.


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