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The Role of Discounting in Bargaining with One-Sided Offers

Author

Listed:
  • Francesc Dilmé

    (University of Bonn)

Abstract

This paper analyzes a continuous-time Coase setting with finite horizon, interdependent values, and different discount rates. Our full characterization of equilibrium behavior permits studying how patience shapes the bargaining outcome. We obtain that (i) the seller’s commitment problem persists even when she is fully patient, (ii) making the seller more impatient may increase equilibrium prices, (iii) when adverse selection is not strong, the buyer is ex-post better off when he is more impatient, and (iv) when discounting is time-dependent, episodes where the seller or the buyer have a high discount rate feature a large probability of trade, but only periods with high buyer discounting lead to a fast price decline.

Suggested Citation

  • Francesc Dilmé, 2021. "The Role of Discounting in Bargaining with One-Sided Offers," ECONtribute Discussion Papers Series 063, University of Bonn and University of Cologne, Germany.
  • Handle: RePEc:ajk:ajkdps:063
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    File URL: https://www.econtribute.de/RePEc/ajk/ajkdps/ECONtribute_063_2021.pdf
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    References listed on IDEAS

    as
    1. Peter C. Cramton, 1984. "Bargaining with Incomplete Information: An Infinite-Horizon Model with Two-Sided Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 579-593.
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Kathryn E. Spier, 1992. "The Dynamics of Pretrial Negotiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 93-108.
    4. Jack Fanning, 2016. "Reputational Bargaining and Deadlines," Econometrica, Econometric Society, vol. 84, pages 1131-1179, May.
    5. Ausubel, Lawrence M & Deneckere, Raymond J, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Econometrica, Econometric Society, vol. 57(3), pages 511-531, May.
    6. Brendan Daley & Brett Green, 2020. "Bargaining and News," American Economic Review, American Economic Association, vol. 110(2), pages 428-474, February.
    7. Joel Sobel & Takahashi, 1983. "A Multi-stage Model of Bargaining," Levine's Working Paper Archive 255, David K. Levine.
    8. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
    9. Johannes Hörner & Nicolas Vieille, 2009. "Public vs. Private Offers in the Market for Lemons," Econometrica, Econometric Society, vol. 77(1), pages 29-69, January.
    10. Oliver Hart, 1989. "Bargaining and Strikes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 25-43.
    11. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    12. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
    13. Drew Fudenberg & Jean Tirole, 1983. "Sequential Bargaining with Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(2), pages 221-247.
    14. Ausubel, Lawrence M. & Cramton, Peter & Deneckere, Raymond J., 2002. "Bargaining with incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 50, pages 1897-1945, Elsevier.
    15. Cramton, Peter C & Tracy, Joseph S, 1992. "Strikes and Holdouts in Wage Bargaining: Theory and Data," American Economic Review, American Economic Association, vol. 82(1), pages 100-121, March.
    16. Robert Evans, 1989. "Sequential Bargaining with Correlated Values," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 499-510.
    17. William Fuchs & Andrzej Skrzypacz, 2010. "Bargaining with Arrival of New Traders," American Economic Review, American Economic Association, vol. 100(3), pages 802-836, June.
    18. Ma, Ching-To Albert & Manove, Michael, 1993. "Bargaining with Deadlines and Imperfect Player Control," Econometrica, Econometric Society, vol. 61(6), pages 1313-1339, November.
    19. Raymond Deneckere & Meng-Yu Liang, 2006. "Bargaining with Interdependent Values," Econometrica, Econometric Society, vol. 74(5), pages 1309-1364, September.
    20. Thepot, Jacques, 1998. "A direct proof of the Coase conjecture," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 57-66, January.
    21. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
    22. Hnyilicza, Esteban & Pindyck, Robert S., 1976. "Pricing policies for a two-part exhaustible resource cartel : The case of OPEC," European Economic Review, Elsevier, vol. 8(2), pages 139-154, August.
    23. Fershtman Chaim & Seidmann Daniel J., 1993. "Deadline Effects and Inefficient Delay in Bargaining with Endogenous Commitment," Journal of Economic Theory, Elsevier, vol. 60(2), pages 306-321, August.
    24. Joel Sobel & Ichiro Takahashi, 1983. "A Multistage Model of Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 411-426.
    25. Michael Landsberger & Isaac Meilijson, 1985. "Intertemporal Price Discrimination and Sales Strategy under Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 16(3), pages 424-430, Autumn.
    26. Beccuti, Juan & Möller, Marc, 2018. "Dynamic adverse selection with a patient seller," Journal of Economic Theory, Elsevier, vol. 173(C), pages 95-117.
    27. Ortner, Juan, 2017. "Durable goods monopoly with stochastic costs," Theoretical Economics, Econometric Society, vol. 12(2), May.
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    More about this item

    Keywords

    Bargaining; one-sided offers; different discount factors;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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