Robust Equilibria in Location Games
AbstractIn the framework of spatial competition, two or more players strategically choose a location in order to attract consumers. It is assumed standardly that consumers with the same favorite location fully agree on the ranking of all possible locations. To investigate the necessity of this questionable and restrictive assumption, we model heterogeneity in consumers' distance perceptions by individual edge lengths of a given graph. A profile of location choices is called a ``robust equilibrium'' if it is a Nash equilibrium in several games which differ only by the consumers' perceptions of distances. For a finite number of players and any distribution of consumers, we provide a full characterization of all robust equilibria and derive structural conditions for their existence. Furthermore, we discuss whether the classical observations of minimal differentiation and inefficiency are robust phenomena. Thereby, we find strong support for an old conjecture that in equilibrium firms form local clusters.
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Bibliographic InfoPaper provided by University of Paderborn, CIE Center for International Economics in its series Working Papers with number 58.
Length: 27 pages
Date of creation: Feb 2013
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spatial competition; Hotelling-Downs; networks; graphs; Nash equilibrium; median; minimal differentiation;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D49 - Microeconomics - - Market Structure and Pricing - - - Other
- P16 - Economic Systems - - Capitalist Systems - - - Political Economy of Capitalism
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-03-16 (All new papers)
- NEP-COM-2013-03-16 (Industrial Competition)
- NEP-GEO-2013-03-16 (Economic Geography)
- NEP-GTH-2013-03-16 (Game Theory)
- NEP-MIC-2013-03-16 (Microeconomics)
- NEP-URE-2013-03-16 (Urban & Real Estate Economics)
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- repec:ner:louvai:info:hdl:2078.1/54228 is not listed on IDEAS
- Meagher, Kieron J. & Zauner, Klaus G., 2004. "Product differentiation and location decisions under demand uncertainty," Journal of Economic Theory, Elsevier, vol. 117(2), pages 201-216, August.
- 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).
- Hehenkamp, Burkhard & Wambach, Achim, 2010. "Survival at the center--The stability of minimum differentiation," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 853-858, December.
- Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
- Plastria, Frank, 2001. "Static competitive facility location: An overview of optimisation approaches," European Journal of Operational Research, Elsevier, vol. 129(3), pages 461-470, March.
- Godinho, Pedro & Dias, Joana, 2010. "A two-player competitive discrete location model with simultaneous decisions," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1419-1432, December.
- Simon Loertscher & Gerd Muehlheusser, 2011. "Sequential location games," RAND Journal of Economics, RAND Corporation, vol. 42(4), pages 639-663, December.
- Wendell, R. E. & McKelvey, R. D., 1981. "New perspectives in competitive location theory," European Journal of Operational Research, Elsevier, vol. 6(2), pages 174-182, February.
- Martin J. Osborne, 1995. "Spatial Models of Political Competition under Plurality Rule: A Survey of Some Explanations of the Number of Candidates and the Positions They Take," Canadian Journal of Economics, Canadian Economics Association, vol. 28(2), pages 261-301, May.
- Gregory S. Carpenter, 1989. "Perceptual Position and Competitive Brand Strategy in a Two-Dimensional, Two-Brand Market," Management Science, INFORMS, vol. 35(9), pages 1029-1044, September.
- Byong-Duk Rhee, 1996. "Consumer Heterogeneity and Strategic Quality Decisions," Management Science, INFORMS, vol. 42(2), pages 157-172, February.
- Jiang, Albert Xin & Leyton-Brown, Kevin & Bhat, Navin A.R., 2011. "Action-Graph Games," Games and Economic Behavior, Elsevier, vol. 71(1), pages 141-173, January.
- Kelvin Lancaster, 1990. "The Economics of Product Variety: A Survey," Marketing Science, INFORMS, vol. 9(3), pages 189-206.
- Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135.
- Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, October.
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