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Dynamic Duopoly with Intertemporal Capacity Constraints

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Author Info
Berg Anita H.J. van den
Herings P. Jean-Jacques
Peters Hans J.M. (METEOR)

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Abstract

We analyze strategic firm behavior in settings where the production stage is followed by several periods during which only sales take place. We analyze the dynamics of the market structure, the development of prices and sales over time, and the implications for profits and consumer surplus. Two specific settings are analyzed. In the first, a firm can commit up-front to a sales strategy that does not depend on the actual sales of its competitor. In this case there is a unique Nash equilibrium and price increases over time. In the second setting,there is no commitment and firms can adjust their sales in response to observed supply of their competitor in the previous period. It is shown that in this case a subgame perfect Nash equilibrium does not always exist. Equilibria can have surprising features. For some parameter constellations, price may decrease over time. It is also possible that the firm increases its pro…t by destroying some of its production. When firms have equal size, the equilibrium outcome is the same in both the commitment and the non-commitment setting. In general, the setting without commitment is bene…cial to the larger firm, whereas the setting with commitment leads to higher pro…ts for the smaller firm.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 018.

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Date of creation: 2009
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Handle: RePEc:dgr:umamet:2009018

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Keywords: mathematical economics;

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  1. Pantelis Kalaitzidakis & Theofanis P. Mamuneas & Thanasis Stengos, 2003. "Rankings of Academic Journals and Institutions in Economics," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1346-1366, December. [Downloadable!] (restricted)
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  2. Liebowitz, S J & Palmer, J P, 1984. "Assessing the Relative Impacts of Economic Journals," Journal of Economic Literature, American Economic Association, vol. 22(1), pages 77-88, March. [Downloadable!] (restricted)
  3. Ignacio Palacios-Huerta & Oscar Volij, 2004. "The Measurement of Intellectual Influence," Econometrica, Econometric Society, vol. 72(3), pages 963-977, 05. [Downloadable!] (restricted)
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This page was last updated on 2009-11-18.


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