Duopoly price competition with limited capacity

被引:0
作者
A. Bërdëllima
机构
[1] Technische Universität Berlin,Institut für Mathematik
来源
Economic Theory Bulletin | 2021年 / 9卷
关键词
Capacity; Cournot; Duopoly competition; Nash equilibrium; Sequential game; D40; D43; L10; L11; L13; L20;
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摘要
We study a variation of the duopoly model by Kreps and Scheinkman (1983). Firms limited by their capacity of production engage in a two stage game. In the first stage they commit to levels of production not exceeding their capacities which are then made common knowledge. In the second stage after production has taken place firms simultaneously compete in prices. Solution of this sequential game shows that the unique Cournot equilibrium outcome as in Kreps and Scheinkman is not always guaranteed. However the Cournot outcome is still robust in the sense that given sufficiently large capacities this equilibrium holds. If capacities are sufficiently small, firms decide to produce at their full capacity and set a price which clears the market at the given level of output.
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页码:143 / 154
页数:11
相关论文
共 20 条
[1]  
Davidson C(1986)Long-term competition in capacity, short-run competition in price, and the Cournot model Rand J. Econ. 17 404-415
[2]  
Deneckere R(2011)Endogenous capacities and price competition: the role of demand uncertainty Int. J. Ind. Org. 29 399-411
[3]  
de Frutos M(1996)Bertrand–edgeworth duopoly with unit cost asymmetry Econ. Theor. 8 1-25
[4]  
Fabra N(1986)The pure theory of monopoly The Review of Economic Studies 53 1-26
[5]  
Deneckere RJ(1997)Demand fluctuations and capacity utilization under duopoly Econ. Theor. 10 131-146
[6]  
Kovenock D(1990)Sequential capacity and price choices in a duopoly model with demand uncertainty J. Econ. 51 121-144
[7]  
Edgeworth FY(1991)Capacity constrained duopolies, uncertain demand and non-existence of pure strategy equilibria Eur. J. Polit. Econ. 7 183-190
[8]  
Gabszewicz J(1983)Quantity precommitment and Bertrand competition yield Cournot outcomes Bell J. Econ. 14 326-337
[9]  
Poddar S(1972)Price duopoly and capacity constraints Int. Econ. Rev. 13 111-122
[10]  
Hviid M(1998)Elastic demand, sunk costs and the Kreps–Scheinkman extension of the Cournot model Econ. Theor. 12 199-212