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An application of wage bargaining to price negotiation with discount factors varying in time

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  • Ahmet Ozkardas

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

  • Agnieszka Rusinowska

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris)

Abstract

We consider a non-cooperative price bargaining model between a monopolistic producer and a monopsonic consumer. The innovative element that our model brings to the existing literature on price negotiation concerns the parties' preferences which are not expressed by constant discount rates, but by sequences of discount factors varying in time. We assume that the sequence of discount rates of a party can be arbitrary, with the only restriction that the infinite series that determines the utility for the given party must be convergent. Under certain parameters, the price negociation model coincides with wage bargaining with the exogenous always strike decision. We determine the unique subgame perfect equilibrium in this model for no-delay strategies independent of the former history of the game. Then we relax the no-delay assumption and determine the highest equilibrium payoff of the seller and the lowest equilibrium payoff of the buyer for the general case. We show that the no-delay equilibrium strategy profiles support these extreme payoffs.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00881151.

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Date of creation: Oct 2013
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Handle: RePEc:hal:cesptp:halshs-00881151

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Keywords: Price bargaining; alternating offers; varying discount rates; subgame perfect equilibrium;

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  1. Peter C. Cramton, 1991. "Dynamic Bargaining with Transaction Costs," Management Science, INFORMS, vol. 37(10), pages 1221-1233, October.
  2. Begoña Garcia Mariñoso & Izabela Jelovac & Pau Olivella, 2011. "External referencing and pharmaceutical price negotiation," Health Economics, John Wiley & Sons, Ltd., vol. 20(6), pages 737-756, June.
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  8. Cramton, Peter C & Tracy, Joseph S, 1994. "Wage Bargaining with Time-Varying Threats," Journal of Labor Economics, University of Chicago Press, vol. 12(4), pages 594-617, October.
  9. Feri, Francesco & Gantner, Anita, 2011. "Bargaining or searching for a better price? - An experimental study," Games and Economic Behavior, Elsevier, vol. 72(2), pages 376-399, June.
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  11. Joydeep Srivastava & Dipankar Chakravarti & Amnon Rapoport, 2000. "Price and Margin Negotiations in Marketing Channels: An Experimental Study of Sequential Bargaining Under One-sided Uncertainty and Opportunity Cost of Delay," Marketing Science, INFORMS, vol. 19(2), pages 163-184, October.
  12. Cason, Timothy N. & Friedman, Daniel & Milam, Garrett H., 2003. "Bargaining versus posted price competition in customer markets," International Journal of Industrial Organization, Elsevier, vol. 21(2), pages 223-251, February.
  13. Coles, Melvyn G. & Muthoo, Abhinay, 2003. "Bargaining in a non-stationary environment," Journal of Economic Theory, Elsevier, vol. 109(1), pages 70-89, March.
  14. Gul, Faruk & Sonnenschein, Hugo, 1988. "On Delay in Bargaining with One-Sided Uncertainty," Econometrica, Econometric Society, vol. 56(3), pages 601-11, May.
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