1. Cournot equilibrium uniqueness via demi-concavity.
- Author
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von Mouche, P. and Quartieri, F.
- Subjects
NASH equilibrium ,MATHEMATICAL optimization ,UNIQUENESS (Mathematics) ,CONCAVE functions ,MATHEMATICAL notation - Abstract
A family of oligopolies that possess a unique equilibrium was identified in the second authors doctoral dissertation. For such a family, it is therein specified a class of functions-economically related to the price function of a Cournot oligopoly – that satisfy a particular type of quasi-concavity. The first part of the present article (i) conceptualizes that type of quasi-concavity by introducing the notion of demi-concavity, (ii) considers two possible variants and (iii) provides some calculus properties. The second part, by relying on the results on demi-concavity, proves a Cournot equilibrium uniqueness theorem which is new for the journal literature and subsumes various results thereof. A third part shows an example that illustrates the novelty of the result. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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