Abstract
We give a simple example to the non-existence of duopoly equilibrium in pure strategies in an economy with two goods and two types of consumers. This extends also the discussion on the incentive for trade in an oligopolistic framework initiated in Cordella and Gabszewicz (1998).
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References
Cordella, T., Gabszewicz, J. J. (1997): ‘‘Comparative Advantage under Oligopoly.’’ Journal of International Economics 43: 333–346.
Cordella, T., Gabszewicz, J. J. (1998): ‘‘Nice Trivial Equilibria in Strategic Market Games.’’ Games and Economic Behavior 22, 162–169.
Dierker, H., Grodal, B. (1986): ‘‘Non-existence of Cournot-Walras Equilibrium in a General Equilibrium Model with Two Oligopolists.’’ In: Contributions to Mathematical Economics, edited by W. Hildenbrand and A. Mas-Colell. North Holland, pp. 167–185.
Dierker, E., Grodal, B. (1999): ‘‘The Price Normalization Problem in Imperfect Competition and the Objective of the Firm.’’ Economic Theory 14: 257–284.
Dierker, E., Dierker, H., Grodal, B. (2001): ‘‘Objectives of an Imperfectly Competitive Firm: A Surplus Approach.’’ In Economic Essays, edited by G. Debreu, W. Neuefeind, and W. Trockel. Berlin: Springer.
Gabszewicz, J. J., Michel, P. (1997): ‘‘Oligopoly Equilibria in Exchange Economie.’’ In Trade, Technology and Economics. Essays in Honor of Richard G. Lipsey, edited by B. Curtis Eaton and Richard G. Harris. Cheltenham: Edward Elgar, pp. 217–224.
Gabszewicz, J. J., Vial, J. P. (1972): ‘‘Oligopoly ‘à la Cournot’ in a General Equilibrium Analysis.’’ Journal of Economic Theory 4: 381–400.
Gale, D. (1957): ‘‘Price Equilibrium for Linear Models of Exchange.’’ Technical Report P-1156. The Rand Corporation.
Gale, D. (1976): ‘‘The Linear Exchange Model.’’ Journal of Mathematical Economics 3: 205–209.
Roberts, J., Sonnenschein, H. (1977): ‘‘On the Foundations of the Theory of Monopolistic Competition.’’ Econometrica 45: 101–113.
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Bonnisseau, JM., Florig, M. Non-existence of Duopoly Equilibria: A Simple Numerical Example. J Econ 85, 65–71 (2005). https://doi.org/10.1007/s00712-005-0119-9
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DOI: https://doi.org/10.1007/s00712-005-0119-9