Dynamics and equilibria under incremental horizontal differentiation on the Salop circle
AbstractWe study product differentiation on a Salop circle when firms relocate incrementally due to bounded rationality. We prove that, under common assumptions on demand, firms relocate only when two or more firms target the same niche. In any other case, there is no incentive for any firm to relocate incrementally. We prove that all distributions in which firms are sufficiently far apart in product space are unstable Nash equilibria. We prove, in particular, that the classical equidistant distribution is an unstable Nash equilibrium that cannot emerge from another distribution. However, we show that if each firm is engaged in head-on rivalry with one other competitor, the industry converges to an ’equidistantesque’ equilibrium of clusters of rivals.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 51449.
Date of creation: Apr 2012
Date of revision:
product differentiation; bounded rationality; Salop circle; equidistant equilibrium; maximum differentiation;
Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
- L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
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- Akerlof, George A & Yellen, Janet L, 1985. "Can Small Deviations from Rationality Make Significant Differences to Economic Equilibria?," American Economic Review, American Economic Association, vol. 75(4), pages 708-20, September.
- d'ASPREMONT, Claude & GABSZEWICZ, Jean J. & THISSE, Jacques-François, .
"On Hotelling's "Stability in competition","
CORE Discussion Papers RP
-385, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Capozza, Dennis R & Van Order, Robert, 1980. "Unique Equilibria, Pure Profits, and Efficiency in Location Models," American Economic Review, American Economic Association, vol. 70(5), pages 1046-53, December.
- Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995.
"Asymmetric equilibria in spatial competition,"
International Journal of Industrial Organization,
Elsevier, vol. 13(2), pages 213-227.
- Borenstein, Severin & Netz, Janet, 1999. "Why do all the flights leave at 8 am?: Competition and departure-time differentiation in airline markets," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 611-640, July.
- Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
- Hackner, Jonas, 1995. "Endogenous product design in an infinitely repeated game," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 277-299.
- Camacho-Cuena, Eva & Garcia-Gallego, Aurora & Georgantzis, Nikolaos & Sabater-Grande, Gerardo, 2005. "Buyer-seller interaction in experimental spatial markets," Regional Science and Urban Economics, Elsevier, vol. 35(2), pages 89-108, March.
- Perloff, Jeffrey M & Salop, Steven, 1984.
"Equilibrium with product differentiation,"
Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series
qt4cq0m6s3, Department of Agricultural & Resource Economics, UC Berkeley.
- Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
- Bockem, Sabine, 1994. "A Generalized Model of Horizontal Product Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 42(3), pages 287-98, September.
- Graitson, Dominique, 1982. "Spatial Competition a la Hotelling: A Selective Survey," Journal of Industrial Economics, Wiley Blackwell, vol. 31(1-2), pages 13-25, September.
- Paul Krugman, 1992. "A Dynamic Spatial Model," NBER Working Papers 4219, National Bureau of Economic Research, Inc.
- Economides, Nicholas, 1989. "Symmetric equilibrium existence and optimality in differentiated product markets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 178-194, February.
- Gupta, Barnali & Lai, Fu-Chuan & Pal, Debashis & Sarkar, Jyotirmoy & Yu, Chia-Ming, 2004. "Where to locate in a circular city?," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 759-782, June.
- Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages S251-78, October.
- Tyagi, Rajeev K, 1999. "Pricing Patterns as Outcomes of Product Positions," The Journal of Business, University of Chicago Press, vol. 72(1), pages 135-57, January.
- Pal, Debashis, 1998. "Does Cournot competition yield spatial agglomeration?," Economics Letters, Elsevier, vol. 60(1), pages 49-53, July.
- Chia-Ming Yu, 2007. "Price and quantity competition yield the same location equilibria in a circular market-super-," Papers in Regional Science, Wiley Blackwell, vol. 86(4), pages 643-655, November.
- Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
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