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ASME Press Select Proceedings
International Conference on Electronics, Information and Communication Engineering (EICE 2012)
By
Garry Lee
Garry Lee
Information Engineering Research Institute
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ISBN:
9780791859971
No. of Pages:
1008
Publisher:
ASME Press
Publication date:
2012

Features of supermodular widely exist in Bertrand oligopoly model. We can get more direct-viewing conclusions when supermodular game theory is used in differentiated-product Bertrand oligopoly model. When enterprise's strategy variable is only price, the sufficient conditions of single decision variable Bertrand oligopoly game to be supermodular and logsupermodular are given. And profit function can also be changed to be supermodular through monotonic transformation even if it is neither supermodular game nor log-supermodular game. When there are multiple decision variables for enterprise's strategy, under usual assumptions, Bertrand oligopoly game is supermodular, and the maximum and minimum Nash equilibrium exist.

Abstract
Keywords
Introduction
Basic Knowledge
The Conditions of Supermodular Game
Conclusions
References
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