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Survival at the Center - The Stability of Minimum Differentiation

Author

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  • Burkhard Hehenkamp

    (Faculty of Economics and Social Sciences - TU - Technische Universität Dortmund [Dortmund])

  • Achim Wambach

    (Department of Economics - University of Cologne)

Abstract

We model a Hotelling market with multidimensional product differentiation in an evolutionary framework. Both evolutionary stability (in the sense of Schaffer, 1989) and stochastic stability (following Kandori et al., 1993, and Young, 1993) are analysed. It is shown that firms move towards the center in product space, i.e. a "principle of minimum differentiation" on all dimensions of the product space applies.

Suggested Citation

  • Burkhard Hehenkamp & Achim Wambach, 2010. "Survival at the Center - The Stability of Minimum Differentiation," Post-Print hal-00911820, HAL.
    • Handle: RePEc:hal:journl:hal-00911820
    DOI: 10.1016/j.jebo.2010.09.018
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    1. Birgitte Sloth & Hans Whitta-Jacobsen, 2011. "Economic Darwinism," Theory and Decision, Springer, vol. 70(3), pages 385-398, March.
    2. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 2000. "Does information about competitors' actions increase or decrease competition in experimental oligopoly markets?," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 39-57, January.
    3. Neven, Damien J., 1986. "On Hotelling's competition with non-uniform customer distributions," Economics Letters, Elsevier, vol. 21(2), pages 121-126.
    4. Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
    5. Schaffer, Mark E., 1989. "Are profit-maximisers the best survivors? : A Darwinian model of economic natural selection," Journal of Economic Behavior & Organization, Elsevier, vol. 12(1), pages 29-45, August.
    6. Alos-Ferrer, Carlos & Ania, Ana B. & Schenk-Hoppe, Klaus Reiner, 2000. "An Evolutionary Model of Bertrand Oligopoly," Games and Economic Behavior, Elsevier, vol. 33(1), pages 1-19, October.
    7. Hansen, Robert G. & Samuelson, William F., 1988. "Evolution in economic games," Journal of Economic Behavior & Organization, Elsevier, vol. 10(3), pages 315-338, October.
    8. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    9. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 1999. "Learning in Cournot Oligopoly--An Experiment," Economic Journal, Royal Economic Society, vol. 109(454), pages 80-95, March.
    10. Irmen, Andreas & Thisse, Jacques-Francois, 1998. "Competition in Multi-characteristics Spaces: Hotelling Was Almost Right," Journal of Economic Theory, Elsevier, vol. 78(1), pages 76-102, January.
    11. Schenk-Hoppe, Klaus Reiner, 2000. "The evolution of Walrasian behavior in oligopolies," Journal of Mathematical Economics, Elsevier, vol. 33(1), pages 35-55, February.
    12. 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.
    13. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    14. Bester, Helmut, 1989. "Noncooperative Bargaining and Spatial Competition," Econometrica, Econometric Society, vol. 57(1), pages 97-113, January.
    15. Hehenkamp, Burkhard, 2002. "Sluggish Consumers: An Evolutionary Solution to the Bertrand Paradox," Games and Economic Behavior, Elsevier, vol. 40(1), pages 44-76, July.
    16. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
    17. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    18. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    19. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    20. Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
    21. Ania, Ana B. & Troger, Thomas & Wambach, Achim, 2002. "An evolutionary analysis of insurance markets with adverse selection," Games and Economic Behavior, Elsevier, vol. 40(2), pages 153-184, August.
    22. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    23. Anderson, Simon P. & Goeree, Jacob K. & Ramer, Roald, 1997. "Location, Location, Location," Journal of Economic Theory, Elsevier, vol. 77(1), pages 102-127, November.
    24. Rhode, Paul & Stegeman, Mark, 1996. "Learning, Mutation, and Long-Run Equilibria in Games: A Comment," Econometrica, Econometric Society, vol. 64(2), pages 443-449, March.
    25. Vega-Redondo, Fernando (ed.), 1996. "Evolution, Games, and Economic Behaviour," OUP Catalogue, Oxford University Press, number 9780198774723.
    26. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 497-516, October.
    27. James Bergin & Dan Bernhardt, 2004. "Comparative Learning Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 431-465, May.
    28. Economides, Nicholas, 1984. "The principle of minimum differentiation revisited," European Economic Review, Elsevier, vol. 24(3), pages 345-368, April.
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    Citations

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    Cited by:

    1. Yasuhiro Shirata, 2020. "Evolution of a Collusive Price in a Networked Market," Dynamic Games and Applications, Springer, vol. 10(2), pages 528-554, June.
    2. Khan, Abhimanyu & Peeters, Ronald, 2015. "Imitation by price and quantity setting firms in a differentiated market," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 28-36.
    3. Buechel, Berno & Klein, Jan, 2014. "Do Consumers' Preferences Really Matter? - A Note on Spatial Competition with Restricted Strategies," MPRA Paper 55288, University Library of Munich, Germany.
    4. Abhimanyu Khan & Ronald Peeters, 2020. "Evolution of Behavior When Duopolists Choose Prices and Quantities," Dynamic Games and Applications, Springer, vol. 10(2), pages 493-508, June.
    5. Khan, Abhimanyu & Peeters, Ronald, 2017. "Imitation and price competition in a differentiated market," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 177-194.
    6. Gu, Yiquan & Wenzel, Tobias, 2015. "Putting on a tight leash and levelling playing field: An experiment in strategic obfuscation and consumer protection," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 120-128.
    7. Buechel, Berno & Roehl, Nils, 2015. "Robust equilibria in location games," European Journal of Operational Research, Elsevier, vol. 240(2), pages 505-517.
    8. Kevin Hasker, 2014. "The Emergent Seed: A Representation Theorem for Models of Stochastic Evolution and two formulas for Waiting Time," Levine's Working Paper Archive 786969000000000954, David K. Levine.
    9. 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.
    10. Hamed Markazi Moghadam, 2020. "Price and non-price competition in an oligopoly: an analysis of relative payoff maximizers," Journal of Evolutionary Economics, Springer, vol. 30(2), pages 507-521, April.
    11. Shuaicheng Liu, 2023. "Location choice with asymmetric data in the Hotelling model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 855-878, December.
    12. Bertrand Ottino-Loffler & Forrest Stonedahl & Vipin Veetil & Uri Wilensky, 2017. "Spatial Competition with Interacting Agents," International Journal of Microsimulation, International Microsimulation Association, vol. 10(3), pages 75-91.

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    More about this item

    Keywords

    Hotelling; evolutionary game theory; product differentiation; location choice; C73; L1; R3;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • R3 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location

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