Price and Quantity Competition in a Differentiated Duopoly with Upstream Suppliers

This paper analyzes the noncooperative game on the choice of strategic variable to set in duopoly in the presence of an upstream market for the input. For the case of labor input, the analysis shows that if the wage is the result of decentralized firm-union bargain, a duopoly producing substitutes may choose to compete either in the quantity space or in the price space, depending upon the distribution of bargaining power in the wage negotiation and the union's relative preference over the wage. For the case of input suppliers as profit-maximizing firms, the paper shows that a vertically differentiated duopoly may prefer to compete either in the quantity space or in a mixed strategy setting where the high-quality firm plays price and the low-quality firm plays quantity, depending upon the extent of substitutability, the degree of vertical product differentiation and the distribution of bargaining power in the input price negotiation.

[1]  Kangsik Choi.  Comparing Cournot and Bertrand Competition in a Unionized Mixed Duopoly , 2008 .

[2]  David M. Kreps,et al.  Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes , 1983 .

[3]  Yu-Ter Wang.  Product Differentiation: An Alternative to CVDs , 2008 .

[4]  Avinash Dixit,et al.  A MODEL OF DUOPOLY SUGGESTING A THEORY OF ENTRY BARRIERS , 1978 .

[5]  Stephen Wolfram,et al.  The Mathematica Book , 1996 .

[6]  Asher Wolinsky,et al.  BILATERAL MONOPOLIES AND INCENTIVES FOR MERGER , 1988 .

[7]  Amrita Dhillon,et al.  A generalised wage rigidity result , 2002 .

[8]  Jonas Häckner,et al.  A Note on Price and Quantity Competition in Differentiated Oligopolies , 2000, J. Econ. Theory.

[9]  Larry D. Qiu.  On the Dynamic Efficiency of Bertrand and Cournot Equilibria , 1997 .

[10]  Xavier Vives,et al.  On the efficiency of Bertrand and Cournot equilibria with product differentation , 1985 .

[11]  L. Lambertini.  Prisoners’ Dilemma in Duopoly (Super)games , 1997 .

[12]  Choi Kangsik.  Cournot-Bertrand competition in a unionized mixed duopoly , 2008 .

[13]  Koji Okuguchi,et al.  Equilibrium prices in the Bertrand and Cournot oligopolies , 1987 .

[14]  Krishnendu Ghosh Dastidar,et al.  Comparing Cournot and Bertrand in a Homogeneous Product Market , 1997 .

[15]  J. Geanakoplos,et al.  Multimarket Oligopoly: Strategic Substitutes and Complements , 1985, Journal of Political Economy.

[16]  Mónica Correa López,et al.  The Cournot-Bertrand Profit Differential : A Reversal Result In A Differentiated Duopoly With Wage Bargaining , 2004 .

[17]  X. Vives,et al.  Price and quantity competition in a differentiated duopoly , 1984 .

[18]  Leonard K. Cheng.  Comparing Bertrand and Cournot Equilibria: A Geometric Approach , 1985 .

[19]  Jim Y. Jin,et al.  Cournot and Bertrand equilibria compared: substitutability, complementarity and concavity , 2001 .

[20]  N. Hathaway,et al.  Equilibria of price-setting and quantity-setting duopolies , 1979 .

[21]  George Symeonidis,et al.  Comparing Cournot and Bertrand Equilibria in a Differentiated Duopoly with Product R&D , 2003 .