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Löschian competition under demand uncertainty


  • Biing‐Shiunn Yang
  • Chao‐Cheng Mai


This purpose of this paper is twofold: First, we are interested in making a first step towards formally introducing demand uncertainty into the standard model of Löschian competition. Secondly, we wish to explore the effects of demand uncertainty on both the nature of the solution and comparative statics relating to the equilibrium price and market area. Several striking results are derived and then compared with those derived by Capozza and Van Order (1978), Benson (1980), Appelbaum and Katz (1986) and Ishii (1991). Resumen El propósito de este artículo es doble: Primero, nos interesa dar el primer paso hacia presentar formalmente la incertidumbre de la demanda dentro del modelo estándar de competencia de Lösch. Segundo, queremos explorar los efectos de la incertidumbre de la demanda tanto en la naturaleza de la solución como en estática comparativa relacionada con el precio de equilibrio y el área de mercado. Se obtienen varios resultados sorprendentes los cuales se comparan a continuación con los obtenidos por Capozza y Van Order (1978), Benson (1980), Appelbaum y Katz (1986) e Ishii (1991).

Suggested Citation

  • Biing‐Shiunn Yang & Chao‐Cheng Mai, 2009. "Löschian competition under demand uncertainty," Papers in Regional Science, Wiley Blackwell, vol. 88(4), pages 765-784, November.
  • Handle: RePEc:bla:presci:v:88:y:2009:i:4:p:765-784
    DOI: 10.1111/j.1435-5957.2009.00235.x

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    References listed on IDEAS

    1. Mai, Chao-cheng, 1981. "Optimum location and the theory of the firm under demand uncertainty," Regional Science and Urban Economics, Elsevier, vol. 11(4), pages 549-557, November.
    2. Balvers, Ronald & Szerb, Lazlo, 1996. "Location in the Hotelling duopoly model with demand uncertainty," European Economic Review, Elsevier, vol. 40(7), pages 1453-1461, August.
    3. Franco Modigliani, 1958. "New Developments on the Oligopoly Front," Journal of Political Economy, University of Chicago Press, vol. 66, pages 215-215.
    4. Ohta, H., 1980. "Spatial competition, concentration and welfare," Regional Science and Urban Economics, Elsevier, vol. 10(1), pages 3-16, March.
    5. Capozza, Dennis R & Van Order, Robert, 1977. "Pricing under Spatial Competition and Spatial Monopoly," Econometrica, Econometric Society, vol. 45(6), pages 1329-1338, September.
    6. Ishii, Yasunori, 1989. "Measures of Risk Aversion and Comparative Statics of Industry Equilibrium: Correction," American Economic Review, American Economic Association, vol. 79(1), pages 285-286, March.
    7. Greenhut, M L & Hwang, M & Ohta, H, 1975. "Observations on the Shape and Relevance of the Spatial Demand Function," Econometrica, Econometric Society, vol. 43(4), pages 669-682, July.
    8. ANDERSON, Simon P. & de PALMA, André & THISSE, Jacques-François, 1992. "Interpretations of the logit discrete choice models and the theory of product differentiation," CORE Discussion Papers RP 1017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Capozza, Dennis R & Van Order, Robert, 1978. "A Generalized Model of Spatial Competition," American Economic Review, American Economic Association, vol. 68(5), pages 896-908, December.
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    11. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-781, July.
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    13. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
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