Differentiated oligopolistic markets with concave cost functions via Ky Fan inequalities

Giancarlo Bigi () and Mauro Passacantando ()
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Giancarlo Bigi: Università di Pisa
Mauro Passacantando: Università di Pisa

Decisions in Economics and Finance, 2017, vol. 40, issue 1, No 4, 63-79

Abstract: Abstract A Nash–Cournot model for oligopolistic markets with concave cost functions and a differentiated commodity is analyzed. Equilibrium states are characterized through Ky Fan inequalities. Relying on the minimization of a suitable merit function, a general algorithmic scheme for solving them is provided. Two concrete algorithms are therefore designed that converge under suitable convexity and monotonicity assumptions. The results of some numerical tests on randomly generated markets are also reported.

Keywords: Oligopoly; Concave costs; Ky Fan inequalities; Merit function; Descent algorithm (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10203-017-0187-7

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