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Cournot Equilibrium Uniqueness: At 0 Discontinuous Industry Revenue and Decreasing Price Flexibility

Pierre Von Mouche and Takashi Sato ()
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Pierre Von Mouche: Wageningen University, Wageningen, The Netherlands
Takashi Sato: Shimonoseki City University, Shimonoseki, Japan

International Game Theory Review (IGTR), 2019, vol. 21, issue 02, 1-19

Abstract: We consider the equilibrium uniqueness problem for a large class of Cournot oligopolies with convex cost functions and a proper price function p̃ with decreasing price flexibility. This class allows for (at 0) discontinuous industry revenue and in particular for p̃(y) = y−α. The paper illustrates in an exemplary way the Selten–Szidarovszky technique based on virtual backward reply functions. An algorithm for the calculation of the unique equilibrium is provided.

Keywords: Cournot oligopoly; decreasing price flexibility; discontinuous payoff functions; equilibrium uniqueness; pseudo-concavity; Selten–Szidarovszky technique (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219198919400103

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