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Transparency of outside options in bargaining. (English) Zbl 1400.91221

Summary: We study the effect of the transparency of outside options in bilateral bargaining. A seller posts prices to screen a buyer over time, and the buyer may receive an outside option at a random time. We consider two information regimes: one in which the arrival of the outside option is public and one in which the arrival is private. A public arrival of the outside option works as a commitment device that forces the buyer to opt out immediately. This effect leads to a generically unique equilibrium in which the Coase conjecture holds. In contrast, a private arrival of the outside option may lead to additional delay and equilibrium multiplicity. The Coase conjecture fails in some equilibria. The buyer’s preference about transparency is time-inconsistent: she prefers to commit to making arrivals public, but she is unwilling to disclose her outside option after the arrival. Moreover, the seller benefits from having the buyer privately observe her outside option.

MSC:

91B26 Auctions, bargaining, bidding and selling, and other market models
91A25 Dynamic games
Full Text: DOI

References:

[1] Ausubel, L. M.; Cramton, P. C.; Deneckere, R. J., Bargaining with incomplete information, (Aumann, R. J.; Hart, S., Handbook of Game Theory (2002), Elsevier)
[2] Binmore, K.; Shaked, A.; Sutton, J., An outside option experiment, Q. J. Econ., 753-770 (1989)
[3] Board, S.; Pycia, M., Outside options and the failure of the Coase conjecture, Am. Econ. Rev., 104, 2, 656-671 (2014)
[4] Calzolari, G.; Pavan, A., On the optimality of privacy in sequential contracting, J. Econ. Theory, 130, 1, 168-204 (2006) · Zbl 1141.91391
[5] Chang, D., Bargaining with Arriving Sellers (2015), City University of Hong Kong, Working paper
[6] Compte, O.; Jehiel, P., On the role of outside options in bargaining with obstinate parties, Econometrica, 70, 4, 1477-1517 (2002) · Zbl 1141.91395
[7] Deneckere, R.; Liang, M.-Y., Bargaining with interdependent values, Econometrica, 1309-1364 (2006) · Zbl 1138.91400
[8] Fuchs, W.; Öry, A.; Skrzypacz, A., Transparency and distressed sales under asymmetric information, Theor. Econ., 11, 1103-1144 (2016) · Zbl 1395.91197
[9] Fuchs, W.; Skrzypacz, A., Bargaining with arrival of new traders, Am. Econ. Rev., 802-836 (2010)
[10] Fuchs, W.; Skrzypacz, A., Bridging the gap: bargaining with interdependent values, J. Econ. Theory, 148, 3, 1226-1236 (2013) · Zbl 1285.91049
[11] Fudenberg, D.; Levine, D.; Tirole, J., Infinite-horizon models of bargaining with one-sided incomplete information, (Roth, A. E., Game-Theoretic Models of Bargaining (1985), Cambridge University Press)
[12] Fudenberg, D.; Tirole, J., Game Theory (1991), Cambridge, MA · Zbl 1339.91001
[13] Gul, F.; Sonnenschein, H.; Wilson, R., Foundations of dynamic monopoly and the Coase conjecture, J. Econ. Theory, 39, 1, 155-190 (1986) · Zbl 0605.90037
[14] Hörner, J.; Vieille, N., Public vs. private offers in the market for lemons, Econometrica, 77, 1, 29-69 (2009) · Zbl 1160.91344
[15] Hwang, I., A Theory of Bargaining Deadlock (2015), University of Miami, Working paper
[16] Inderst, R., Dynamic bilateral bargaining under private information with a sequence of potential buyers, Rev. Econ. Dyn., 11, 1, 220-236 (2008)
[17] Kaya, A.; Kim, K., Trading Dynamics in the Market for Lemons (2016), University of Miami, Working paper
[18] Kaya, A.; Liu, Q., Transparency and price formation, Theor. Econ., 10, 2, 341-383 (2015) · Zbl 1395.91200
[19] Kim, K., Information About Sellers’ Past Behavior in the Market for Lemons (2014), University of Iowa, Working paper · Zbl 1400.91223
[20] Krasteva, S.; Yildirim, H., On the role of confidentiality and deadlines in bilateral negotiations, Games Econ. Behav., 75, 2, 714-730 (2012) · Zbl 1239.91067
[21] Krasteva, S.; Yildirim, H., Information Acquisition and Strategic Sequencing in Bilateral Trading: Is Ignorance Bliss? (2014), Duke University, Working paper
[22] Lee, J.; Liu, Q., Gambling reputation: repeated bargaining with outside options, Econometrica, 81, 4, 1601-1672 (2013) · Zbl 1276.91059
[23] Swinkels, J. M., Education signalling with preemptive offers, Rev. Econ. Stud., 949-970 (1999) · Zbl 0940.91047
[24] Taylor, C. R., Consumer privacy and the market for customer information, Rand J. Econ., 631-650 (2004)
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