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Agent-Based Spatial Competition

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  • Eveline Van Leeuwen
  • Mark Lijesen

Abstract

Equilibrium in the Hotelling model of spatial competition is guaranteed if the distribution of consumers is log concave. In the real world, nothing guarantees such a log concave distribution however, rendering the analytical model unable to provide a primer as to what one might expect from empirical applications. We develop an agent-based model of spatial competition that is capable of reproducing the results of the analytical model and also provides meaningful results for some cases where the distribution of consumers is not log concave. Using numerous simulations, on randomly drawn distributions, we derive equilibrium locations and prices and test for uniqueness. Moreover, we check whether the relationships between characteristics of the distribution (e.g. concentration, skewness) and outcomes are consistent with the analytical model. Key-words: Hotelling, agent-based modelling, spatial competition

Suggested Citation

  • Eveline Van Leeuwen & Mark Lijesen, 2012. "Agent-Based Spatial Competition," ERSA conference papers ersa12p156, European Regional Science Association.
    • Handle: RePEc:wiw:wiwrsa:ersa12p156
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    References listed on IDEAS

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    1. Neven, Damien J., 1986. "On Hotelling's competition with non-uniform customer distributions," Economics Letters, Elsevier, vol. 21(2), pages 121-126.
    2. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    3. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    4. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    5. Lijesen, M.G., 2010. "Empirical applications of spatial competition; an interpretative literature review," Serie Research Memoranda 0006, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
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