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Uncertainty in Spatial Duopoly with Possibly Asymmetric Distributions: a State Space Approach

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  • Kieron J. Meagher
  • Klaus G. Zauner

Abstract

In spatial competition firms are likely to be uncertain about consumer locations when launching products either because of shifting demograph- ics or of asymmetric information about preferences. Realistically distri- butions of consumer locations should be allowed to vary over states and need not be uniform. However, the existing literature models location uncertainty as an additive shock to a uniform consumer distribution. The additive shock restricts uncertainty to the mean of the consumers loca- tions. We generalize this approach to a state space model in which a vector of parameters gives rise to different distributions of consumer tastes in dif- ferent states, allowing other moments (besides the mean) of the consumer distribution to be uncertain. We illustrate our model with an asymmetric consumer distribution and obtain a unique subgame perfect equilibrium with an explicit, closed-form solution. An equilibrium existence result is then given for the general case. For symmetric distributions, the unique subgame perfect equilibrium in the general case can be described by a simple closed-form solution.

Suggested Citation

  • Kieron J. Meagher & Klaus G. Zauner, 2008. "Uncertainty in Spatial Duopoly with Possibly Asymmetric Distributions: a State Space Approach," CEPR Discussion Papers 579, Centre for Economic Policy Research, Research School of Economics, Australian National University.
  • Handle: RePEc:auu:dpaper:579
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    File URL: https://www.cbe.anu.edu.au/researchpapers/cepr/DP579.pdf
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    References listed on IDEAS

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    1. Kieron Meagher & Klaus Zauner, 2005. "Location-then-price competition with uncertain consumer tastes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 799-818, June.
    2. Aghion, Philippe & Espinosa, Maria Paz & Jullien, Bruno, 1993. "Dynamic Duopoly with Learning through Market Experimentation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 517-539, July.
    3. Boyan Jovanovic, 1981. "Entry With Private Information," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 649-660, Autumn.
    4. 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.
    5. 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.
    6. Asim Ansari & Nicholas Economides & Avijit Ghosh, 1994. "Competitive Positioning in Markets with Nonuniform Preferences," Marketing Science, INFORMS, vol. 13(3), pages 248-273.
    7. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    8. Harrington Jr. , Joseph E., 1995. "Experimentation and Learning in a Differentiated-Products Duopoly," Journal of Economic Theory, Elsevier, vol. 66(1), pages 275-288, June.
    9. F. Javier Casado-Izaga, 2000. "Location decisions: The role of uncertainty about consumer tastes," Journal of Economics, Springer, vol. 71(1), pages 31-46, February.
    10. Anderson, Simon P. & Goeree, Jacob K. & Ramer, Roald, 1997. "Location, Location, Location," Journal of Economic Theory, Elsevier, vol. 77(1), pages 102-127, November.
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    Citations

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    Cited by:

    1. António Brandão & Joana Pinho, 2015. "Asymmetric Information And Exchange Of Information About Product Differentiation," Bulletin of Economic Research, Wiley Blackwell, vol. 67(2), pages 166-185, April.
    2. Aurélie Bonein & Stéphane Turolla, 2017. "Spatial competition with demand uncertainty: A laboratory experiment," Working Papers SMART - LERECO 17-12, INRA UMR SMART-LERECO.

    More about this item

    Keywords

    Location; Product Differentiation; Uncertainty; Hotelling;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General
    • R39 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Other

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