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Dynamic Price Competition in Auto-Insurance Brokerage

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  • Bruno Aurichio
  • Luis H. B. Braido

Abstract

Brazilian data on auto-insurance present an intriguing fact: the coexistence of policies being sold with zero and positive brokerage fees. We extend the Bertrand model of price competition to a dynamic environment in which agents face a .xed cost to switch to a new (unmatched) broker. This incumbent?s advantage drives unmatched brokers to set fees aggressively. We explicitly derive symmetric re-cursive Nash equilibrium in which zero and positive brokerage fees are played with positive probability. We then use the mixed-strategy equilibrium distribution to perform a maximum likelihood estimation of the model parameters. Using data on brokerage fees alone, this structural econometric procedure allows us to identify: (i) the number of brokers effectively bidding to a given consumer; (ii) the insuree?s cost of switching brokers; and (iii) the expected life-time discounted profits of matched and unmatched brokers.

Suggested Citation

  • Bruno Aurichio & Luis H. B. Braido, 2009. "Dynamic Price Competition in Auto-Insurance Brokerage," Fucape Working Papers 17, Fucape Business School.
  • Handle: RePEc:bbz:fcpwps:17
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    References listed on IDEAS

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    1. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    2. Baye, Michael R. & Morgan, John, 1999. "A folk theorem for one-shot Bertrand games," Economics Letters, Elsevier, vol. 65(1), pages 59-65, October.
    3. Braido, Luis H.B., 2009. "Multiproduct price competition with heterogeneous consumers and nonconvex costs," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 526-534, September.
    4. Sharkey, William W. & Sibley, David S., 1993. "A Bertrand model of pricing and entry," Economics Letters, Elsevier, vol. 41(2), pages 199-206.
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    Cited by:

    1. Guillermo Marshall, 2020. "Search and Wholesale Price Discrimination," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 346-374, June.
    2. Jason Allen & Robert Clark & Jean-François Houde & Shaoteng Li & Anna V. Trubnikova, 2023. "The Role of Intermediaries in Selection Markets: Evidence form Mortgage Lending," NBER Working Papers 31989, National Bureau of Economic Research, Inc.
    3. Bruno Cesar Aurichio Ledo, 2011. "Competição Em Preços Entre Corretores Deseguros De Automóveis," Anais do XXXVIII Encontro Nacional de Economia [Proceedings of the 38th Brazilian Economics Meeting] 045, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    4. Fabra, Natalia & Reguant, Mar, 2020. "A model of search with price discrimination," European Economic Review, Elsevier, vol. 129(C).
    5. Jason Allen & Shaoteng Li, 2020. "Dynamic Competition in Negotiated Price Markets," Staff Working Papers 20-22, Bank of Canada.

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