Stability of a Cournot - Nash equilibrium: The multiproduct case

Journal of Mathematical Economics

Volumn 26, Issue 4, 1996, Pages 441-462

  Zhang, Anming ^a,b   Zhang, Yimin ^c  

^a UNIVERSITY OF VICTORIA   (Canada)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Cournot Nash equilibrium; Multiproduct oligopoly; Stability conditions

Indexed keywords

EID: 0030509722     PISSN: 03044068     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4068(95)00760-1     Document Type: Article

References (28)

1. Al-Nowaihi, A. and P.L. Levine, 1985, The stability of the Cournot oligopoly model: A reassessment, Journal of Economic Theory 35, 307-321.
2. Bernheim, D.B. and M.D. Whinston, 1990, Multimarket contact and collusive behavior, Rand Journal of Economics 21, 1-26.
3. Brander, J.A. and J. Eaton, 1984, Product line rivalry, American Economic Review 74, 323-334.
4. Brander, J.A. and B. Spencer, 1983, Strategic commitment with R&D: The symmetric case, Bell Journal of Economics 14, 225-235.
5. Brueckner, J.K. and P.T. Spiller, 1991, Competition and mergers in airline networks, International Journal of Industrial Organization 9, 323-342.
6. Bulow, J.I., J.D. Geanakoplos and P.D. Klemperer, 1985, Multimarket oligopoly: Strategic substitutes and complements, Journal of Political Economy 93, 488-511.
7. Dixit, A., 1986, Comparative statics for oligopoly, International Economic Review 27, 107-122.
8. Fisher, F.M., 1961, The stability of the Cournot solution of the oligopoly problem: The effects of speeds of adjustment and increasing marginal costs, Review of Economic Studies 28, 125-135.
9. Friedman, J.W., 1977, Oligopoly and the theory of games (North-Holland, Amsterdam).
10. Fudenberg, D. and J. Tirole, 1991, Game theory (MIT Press, Cambridge, MA).
11. Hahn, F., 1962, The stability of the Cournot oligopoly solution, Review of Economic Studies 29, 329-331.
12. Hahn, W., 1963, Theory and application of Liapunov's direct method (Prentice-Hall, Englewood Cliffs, NJ).
13. Harrington, J.E., 1987, Collusion in multiproduct oligopoly games under a finite horizon, International Economic Review 28, 1-14.
14. Isaacson, E. and H.B. Keller, 1966, Analysis of numerical methods (Wiley, New York).
15. Judd, K.L., 1985, Credible spatial preemption, Rand Journal of Economics 16, 153-166.
16. Klemperer, P.D., 1992, Equilibrium product lines: Competing head-to-head may be less competitive, American Economic Review 82, 740-755.
17. Kreyszig, E., 1978, Introductory functional analysis with applications (Wiley, New York).
18. Krugman, P., 1984, Import protection as export promotion: International competition in the presence of oligopoly and economies of scale, in: H. Kierzkowski, ed., Monopolistic competition and international trade (Oxford University Press, Oxford) 180-193.
19. Lal, R. and C. Matutes, 1989, Price competition in multimarket duopolies, Rand Journal of Economics 20, 516-537.
20. Moulin, H., 1986, Game theory for the social sciences (New York Univ. Press, New York).
21. Ortega, J.M. and W.C. Rheinboldt, 1970, Iterative solution of nonlinear equations in several variables (Academic Press, New York).
22. Oum, T., A. Zhang and Y. Zhang, 1995, Airline network rivalry, Canadian Journal of Economics 27, 836-857.
23. Seade, J., 1980, The stability of Cournot revisited, Journal of Economic Theory 23, 15-27.
24. Shapiro, C., 1989, Theories of oligopoly behavior, in: R. Schmalensee and R. Willig, eds., Handbook of industrial organization, vol. 2 (North-Holland, Amsterdam).
25. Slade, M.E., 1994, What does an oligopoly maximize?, Journal of Industrial Economics 62, 45-61.
26. Thorlund-Petersen, L., 1990, Iterative computation of Cournot equilibrium, Games and Economic Behavior 2, 61-75.
27. Tirole, J., 1988, The theory of industrial organization (MIT Press, Cambridge, MA).
28. Zhang, A. and Y. Zhang, 1995, An examination of import protection as export promotion, mimeo.