Existence and Uniqueness of Cournot Equilibrium: A Contraction Mapping Approach

Ngo Long and Antoine Soubeyran

CIRANO Working Papers from CIRANO

Abstract: We provide sufficient conditions for existence and uniqueness of a Cournot equilibrium. The contraction mapping approach is used. Equilibrium is characterized in terms of marginal costs. The result is useful for applications to two-stage games, where, in the first stage, firms incur costs to manipulate their marginal costs of production. Cet article donne des conditions suffisantes pour l'existence et l'unicité de l'équilibre de Cournot. Notre résultat s'applique aux jeux de Cournot à deux étapes. Dans un premier temps, les firmes manipulent leurs coûts marginaux en choisissant un paramètre. Dans un deuxième temps, les firmes font la concurrence à la Cournot.

Keywords: Cournot equilibrium; existence; uniqueness; Équilibre de Cournot; existence; unicité (search for similar items in EconPapers)
JEL-codes: L13 L23 (search for similar items in EconPapers)
Date: 1999-06-01
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Journal Article: Existence and uniqueness of Cournot equilibrium: a contraction mapping approach (2000)
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Persistent link: https://EconPapers.repec.org/RePEc:cir:cirwor:99s-22

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