Judo Economics in Markets with Multiple Firms
We study a sequential Bertrand game with one dominant market incumbent and multiple small entrants selling homogeneous products. Whilst the equilibrium for the case of a single entrant is well-known from Gelman and Salop (1983), we derive properties of the N-firm equilibrium and present an algorithm that can be used to calculate this equilibrium. Using this algorithm we derive the exact equilibrium for the cases of two and three small entrants. For more than three entrants only approximate results are possible. We use numerical results to gain further understanding of the equilibrium for an increasing number of firms and in particular for the case where N diverges to infinity. Similarly to the two-firm Judo equilibrium, we see that a capacity limitation for the small rms is necessary to achieve positive profits.
|Date of creation:||Jul 2013|
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- Sorgard, Lars, 1997.
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- Daniel Cracau, 2013. "Judo Economics in Markets with Asymmetric Firms," FEMM Working Papers 130002, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
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- Dan Kovenock & Raymond Deneckere & Tom Faith & Beth Allen, 2000. "Capacity precommitment as a barrier to entry: A Bertrand-Edgeworth approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 501-530.
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- Beth Allen & Raymond Deneckere & Tom Faith & Dan Kovenock, 1995. "Capacity precommitment as a barrier to entry: a Bertrand-Edgeworth approach," Staff Report 187, Federal Reserve Bank of Minneapolis.
- Allen, B. & Deneckere, R. & Faith, T. & Kovenock, D., 1994. "Capacity Precommitment as a Barrier to Entry: A Bertrand-Edgeworth Approach," Purdue University Economics Working Papers 1062, Purdue University, Department of Economics.
- Beth Allen & Raymond Deneckere & Tom Faith & Dan Kovenock, 1994. "Capacity Precommitment as a Barrier to Entry:A Bertrand-Edgeworth Approach," Industrial Organization 9411002, EconWPA, revised 14 Nov 1994.
- Dave Furth & Dan Kovenock, 1993. "Price leadership in a duopoly with capacity constraints and product differentiation," Journal of Economics, Springer, vol. 57(1), pages 1-35, February.
- Furth, D. & Kovenock, D., 1990. "Price Leadership In A Duopoly With Capacity Constraints And Product Differentiation," Purdue University Economics Working Papers 992, Purdue University, Department of Economics.
- Federico Etro, 2008. "Stackelberg Competition with Endogenous Entry," Economic Journal, Royal Economic Society, vol. 118(532), pages 1670-1697, October.
- Federico Etro, 2007. "Stackelberg competition with endogenous entry," Working Papers 121, University of Milano-Bicocca, Department of Economics, revised 2007.
- Boyer, Marcel & Moreaux, Michel, 1986. "Perfect competition as the limit of a hierarchical market game," Economics Letters, Elsevier, vol. 22(2-3), pages 115-118.
- Vives, Xavier, 1988. "Sequential entry, industry structure and welfare," European Economic Review, Elsevier, vol. 32(8), pages 1671-1687, October.
- repec:rje:randje:v:37:y:2006:1:p:146-154 is not listed on IDEAS
- Federico Etro, 2006. "Aggressive leaders," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 146-154, 03. Full references (including those not matched with items on IDEAS)
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