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Bertrand-Edgeworth equilibrium: Manipulable residual demand

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Author Info
Prabal Roy Chowdhury () (Indian Statistical Institute, New Delhi)

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Abstract

In this paper we seek to provide a resolution of the Edgeworth paradox for the case where firms are free to supply less than the quantity demanded, the residual demand function is {\it manipulable} (a generalization of the proportional one) and prices vary over a grid. We demonstrate that a unique equilibrium in pure strategies exist whenever the number of firms is sufficiently large. Interestingly, the equilibrium involves excess production. Moreover, depending on the parameter values, the `folk theorem' of perfect competition may or may not hold. The results go through even if the firms are asymmetric, or produce to order.

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Publisher Info
Paper provided by Indian Statistical Institute, New Delhi, India in its series Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers with number 04-15.

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Length: 26 pages
Date of creation: May 2004
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Handle: RePEc:ind:isipdp:04-15

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Related research
Keywords: Bertrand equilibrium; pure strategy; manipulable residual demand;

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Find related papers by JEL classification:
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D41 - Microeconomics - - Market Structure and Pricing - - - Perfect Competition
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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  1. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium with a large number of firms," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 04-12, Indian Statistical Institute, New Delhi, India. [Downloadable!]
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