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Confidence, Pessimism and their Impact on Product Differentiation in a Hotelling Model with Demand Location Uncertainty

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  • Kauffeldt, Florian
  • Wiesenfarth, Boris
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    Abstract

    We analyze a Hotelling location-then-price duopoly game under demand uncertainty with uniformly distributed consumers in a standard quadratic costs scenario. The novelty of our approach consists of assuming that firms' beliefs are represented by non-extreme-outcome-additive (neo-additive) capacities. We derive firms' subgame-perfect product design decisions under ambiguity. Furthermore, we investigate the influence of ambiguity and ambiguity attitude on equilibrium product differentiation and contrast our results with an environment of risky firms. We find that the impact of the degree of confidence or ambiguity is particularly significant when it comes to delivering accurate explanations for a wide range of phenomena related to observed product design behavior.

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    Bibliographic Info

    Paper provided by University of Heidelberg, Department of Economics in its series Working Papers with number 0562.

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    Date of creation: 17 Apr 2014
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    Handle: RePEc:awi:wpaper:0562

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    Keywords: Hotelling; Confidence; Optimism; Pessimism; Degree of Ambiguity; Choquet Expected Utility; Neo-additive Capacities; Product Differentiation;

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    1. Burkhard C. Schipper & David Kelsey, 2005. "Ambiguity and Social Interaction," Working Papers 536, University of California, Davis, Department of Economics.
    2. Camerer, Colin & Weber, Martin, 1992. " Recent Developments in Modeling Preferences: Uncertainty and Ambiguity," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 325-70, October.
    3. 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.
    4. 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).
    5. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    6. Smith, Michael A. & Paton, David & Williams, Leighton Vaughan, 2009. "Do bookmakers possess superior skills to bettors in predicting outcomes?," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 539-549, August.
    7. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    8. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
    9. Neven, D., 1985. "On hotelling’s competition with non uniform customer distributions," CORE Discussion Papers 1985044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Jurgen Eichberger & Simon Grant & David Kelsey & Gleb A. Koshevoy, 2009. "The a-MEU Model: A Comment," Discussion Papers 0903, Exeter University, Department of Economics.
    11. Anderson, Simon P, 1988. "Equilibrium Existence in the Linear Model of Spatial Competition," Economica, London School of Economics and Political Science, vol. 55(220), pages 479-91, November.
    12. 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.
    13. 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.
    14. 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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