In this paper we consider an oligopoly and we are concerned with the effect of entry in the market of buyers and/or sellers on the price of the good being sold and the pay-offs/utilities of the buyers and sellers. The major results obtained in this paper are the following: 1) Given the number of buyers both individual as well as aggregate offers go up as the number of sellers increases. Further, the price of Y decreases, each buyer is better off and each seller is worse off as the number of sellers increases. 2) Given the number of sellers, the price of Y increases, each buyer is worse off and each seller is better off as the number of buyers increases. 3) As the economy is replicated the equilibrium price decreases. The sequence of equilibrium prices thus obtained converges to the competitive equilibrium price of the original economy. 4) As the economy is replicated the buyers are better off. The sequence of consumption bundles of the buyers converges to the consumption bundle of the buyers at the competitive equilibrium of the original economy. 5) As the economy is replicated the sellers are worse off. The sequence of consumption bundles of the sellers converges to the consumption bundle of the sellers at the competitive equilibrium of the original economy.
References
[1]
M. Shubik, “Commodity Money, Oligopoly, Credit and Bankruptcy in a General Equilibrium Model,” Economic Inquiry, Vol. 11, No. 1, March 1973, pp. 24-38.
[2]
L. S. Shapley, “Non-Cooperative General Exchange,” In: S. A. Y. Lin, Ed., Theory of measurement of economic externalities, Academic Press, New York, 1976.
[3]
L. S. Shapley and M. Shubik: “Trade Using One Commodity as a Means of Payment,” Journal of Political Economy, Vol. 85, No. 5, October 1977, pp. 937-968.
doi:10.1086/260616
[4]
J. J. Gabszewicz and P. Michel, “Oligopoly Equilibrium in Exchange Economies,” In: B. C. Eaton and R. G. Harris, Eds., Trade, Technology and Economics: Essays in Honor of Richard G. Lipsey, Elgar, Cheltenham, 1997.
[5]
F. Bloch and H. Ferrer, “Trade Fragmentation and Coordination in Strategic Market Games,” Journal of Economic Theory, Vol. 101, No. 1, November 2001, pp. 301-316. doi:10.1006/jeth.2000.2730
[6]
G. Codognato and J. J. Gabszewicz, “Economie du Cournot-Walras dans une economie d’exchange,” Revue Economique, Vol. 42, No. 6, 1991, pp. 1013-1026.
[7]
Amir, R. and F. Bloch: “Comparative Statics in a Simple Class of Strategic Market Games,” Games and Economic Behavior, Vol. 65, No. 1, 2009, pp. 7-24.
doi:10.1016/j.geb.2007.09.002
[8]
S. Lahiri, “Asymptotic Convergence to Competitive Equilibrium of Oligopoly Equilibria,” 2010.
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1739486
[9]
R. Lahmandi-Ayed, “Oligopoly Equilibria in Exchange Economies: A Limit Theorem,” Economic Theory, Vol. 17, No. 3, 2001, pp. 665-674. doi:10.1007/PL00004122
