Bilateral oligopoly and quantity competition
AbstractBilateral oligopoly is a strategic market game with two commodities, allowing strategic behavior on both sides of the market. When the number of buyers is large, such a game approximates a game of quantity competition played by sellers. We present examples which show that this is not typically a Cournot game. Rather, we introduce an alternative game of quantity competition (the market share game) and, appealing to results in the literature on contests, show that this yields the same equilibria as the many-buyer limit of bilateral oligopoly, under standard assumptions on costs and preferences. We also show that the market share and Cournot games have the same equilibria if and only if the price elasticity of the latter is one. These results lead to necessary and suÃÂ¢ cient conditions for the Cournot game to be a good approximation to bilateral oligopoly with many buyers and to an ordering of total output when they are not satisfied.
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Bibliographic InfoPaper provided by Economics, The University of Manchester in its series The School of Economics Discussion Paper Series with number 0911.
Date of creation: 2009
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Other versions of this item:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-07-11 (All new papers)
- NEP-BEC-2009-07-11 (Business Economics)
- NEP-COM-2009-07-11 (Industrial Competition)
- NEP-IND-2009-07-11 (Industrial Organization)
- NEP-MIC-2009-07-11 (Microeconomics)
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