Breitmoser, Yves (2010): A general model of oligopoly endogenizing Cournot, Bertrand, Stackelberg, and Allaz-Vila.
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This paper analyzes a T-stage model of oligopoly where firms build up capacity and conclude forward sales in stages t<T, and they choose production quantities in t=T. We consider the case of n firms with asymmetric marginal costs. In the two-stage game, the set of outcomes is a quasi-hyperrectangle including Cournot, Allaz-Vila, and all two-stage Stackelberg outcomes. In general, it consists of T-1 such hyperrectangles where the lower bound approaches the Bertrand outcome as T tends to infinity. In the limit, a range of outcomes stretching from Cournot via Stackelberg to Bertrand can result in equilibrium, i.e. the mode of competition is entirely endogenous.
|Item Type:||MPRA Paper|
|Original Title:||A general model of oligopoly endogenizing Cournot, Bertrand, Stackelberg, and Allaz-Vila|
|Keywords:||forward sales, capacity precommitment, Cournot, Stackelberg, Bertrand|
|Subjects:||D - Microeconomics > D4 - Market Structure and Pricing > D43 - Oligopoly and Other Forms of Market Imperfection
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games
|Depositing User:||Yves Breitmoser|
|Date Deposited:||14. Jan 2010 16:12|
|Last Modified:||12. Feb 2013 00:51|
Allaz, B. and Vila, J.-L. (1993). Cournot competition, forward markets and efficiency. Journal of Economic Theory, 59(1):1–16.
Bolle, F. (1993). Who profits from futures markets? ifo Studien, Zeitschrift für empirische Wirtschaftsforschung, 3–4:239–256.
Ferreira, J. (2003). Strategic interaction between futures and spot markets. Journal of Economic Theory, 108(1):141–151.
Hamilton, J. H. and Slutsky, S. M. (1990). Endogenous timing in duopoly games: Stackelberg or cournot equilibria. Games and Economic Behavior, 2(1):29–46.
Kreps, D. and Scheinkman, J. (1983). Quantity precommitment and bertrand competition yield cournot outcomes. The Bell Journal of Economics, 14(2):326–337. Liski, M. and Montero, J. (2006). Forward trading and collusion in oligopoly. Journal of Economic Theory, 131(1):212–230.
Mahenc, P. and Salanié, F. (2004). Softening competition through forward trading. Journal of Economic Theory, 116(2):282–293.
Matsumura, T. (1999). Quantity-setting oligopoly with endogenous sequencing. International Journal of Industrial Organization, 17(2):289–296.
Novshek, W. (1980). Equilibrium in simple spatial (or differentiated product) models. Journal of Economic Theory, 22:313–26.
Pal, D. (1991). Cournot duopoly with two production periods and cost differentials. Journal of Economic Theory, 55(2):441–448.
Pal, D. (1996). Endogenous stackelberg equilibria with identical firms. Games and Economic Behavior, 12(1):81–94.
Powell, A. (1993). Trading forward in an imperfect market: The case of electricity in britain. The Economic Journal, 103(417):444–453.
Robson, A. (1990). Duopoly with endogenous strategic timing: Stackelberg regained. International Economic Review, 31(2):263–274.
Romano, R. and Yildirim, H. (2005). On the endogeneity of cournot–nash and stackelberg equilibria: games of accumulation. Journal of Economic Theory, 120(1):73–107.
Saloner, G. (1987). Cournot duopoly with two production periods. Journal of Economic Theory, 42(1):183–187.
van Damme, E. and Hurkens, S. (1999). Endogenous stackelberg leadership. Games and Economic Behavior, 28(1):105–129.
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