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Ultimatum Deadlines

Author

Listed:
  • Wenjie Tang

    (Decision Sciences Area, INSEAD, Singapore 138676, Singapore)

  • J. Neil Bearden

    (Decision Sciences Area, INSEAD, Singapore 138676, Singapore)

  • Ilia Tsetlin

    (Decision Sciences Area, INSEAD, Singapore 138676, Singapore)

Abstract

An important characteristic of any offer is the deadline at which it expires. We consider an ultimatum deadline game in which the proposer's decision variable is the offer deadline, while the responder faces a standard finite-horizon search problem. We show that the responder's strategy is characterized by a shortest acceptable deadline: at the time of deadline, he accepts an offer if the deadline is longer than his shortest acceptable deadline, and rejects it otherwise. If the proposer has all information available to the responder, the optimal deadline is the responder's shortest acceptable deadline. If the proposer is uncertain about the responder's situation, the optimal deadline gets longer, unless this uncertainty is very large. After normative analysis of the deadline setting problem, we present results from a behavioral study of the game. The average shortest acceptable deadline set by the responders equals the one that would maximize the expected value, whereas the proposers tend to set deadlines that are too short. The prescriptive conclusion for a proposer, emerging from the model and the experiment, is that in case of uncertainty it is better to set a deadline longer than what would be optimal if uncertainty were ignored.

Suggested Citation

  • Wenjie Tang & J. Neil Bearden & Ilia Tsetlin, 2009. "Ultimatum Deadlines," Management Science, INFORMS, vol. 55(8), pages 1423-1437, August.
  • Handle: RePEc:inm:ormnsc:v:55:y:2009:i:8:p:1423-1437
    DOI: 10.1287/mnsc.1090.1034
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    as
    1. Seale, Darryl A. & Daniel, Terry E. & Rapoport, Amnon, 2001. "The information advantage in two-person bargaining with incomplete information," Journal of Economic Behavior & Organization, Elsevier, vol. 44(2), pages 177-200, February.
    2. Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
    3. Lippman, Steven A. & McCall, John J., 1976. "Job search in a dynamic economy," Journal of Economic Theory, Elsevier, vol. 12(3), pages 365-390, June.
    4. Alvin E Roth & Muriel Niederle, 2007. "Making Markets Thick: Designing Rules for Offers and Acceptances," Levine's Bibliography 843644000000000142, UCLA Department of Economics.
    5. Alice F. Stuhlmacher & Matthew V. Champagne, 2000. "The Impact of Time Pressure and Information on Negotiation Process and Decisions," Group Decision and Negotiation, Springer, vol. 9(6), pages 471-491, November.
    6. Oxoby, Robert J. & McLeish, Kendra N., 2004. "Sequential decision and strategy vector methods in ultimatum bargaining: evidence on the strength of other-regarding behavior," Economics Letters, Elsevier, vol. 84(3), pages 399-405, September.
    7. Alvin E Roth & Richard A Posner & Christine Jolls & Christopher Avery, 2007. "The New Market for Federal Judicial Law Clerks," Levine's Bibliography 843644000000000288, UCLA Department of Economics.
    8. Jordi Brandts & Gary Charness, 2000. "Hot vs. Cold: Sequential Responses and Preference Stability in Experimental Games," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 227-238, March.
    9. Karni, Edi & Schwartz, Aba, 1977. "Search theory: The case of search with uncertain recall," Journal of Economic Theory, Elsevier, vol. 16(1), pages 38-52, October.
    10. Stigler, George J., 2011. "Economics of Information," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 5, pages 35-49.
    11. Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
    12. Sutter, Matthias & Kocher, Martin & Strau[ss], Sabine, 2003. "Bargaining under time pressure in an experimental ultimatum game," Economics Letters, Elsevier, vol. 81(3), pages 341-347, December.
    13. Gerard J. van den Berg, 1990. "Nonstationarity in Job Search Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 255-277.
    14. Guth, Werner & Huck, Steffen & Muller, Wieland, 2001. "The Relevance of Equal Splits in Ultimatum Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 161-169, October.
    15. Mortensen, Dale T., 1987. "Job search and labor market analysis," Handbook of Labor Economics, in: O. Ashenfelter & R. Layard (ed.), Handbook of Labor Economics, edition 1, volume 2, chapter 15, pages 849-919, Elsevier.
    16. J. Neil Bearden & Amnon Rapoport & Ryan O. Murphy, 2006. "Sequential Observation and Selection with Rank-Dependent Payoffs: An Experimental Study," Management Science, INFORMS, vol. 52(9), pages 1437-1449, September.
    17. George J. Stigler, 1962. "Information in the Labor Market," NBER Chapters, in: Investment in Human Beings, pages 94-105, National Bureau of Economic Research, Inc.
    18. Cox, James C & Oaxaca, Ronald L, 1989. "Laboratory Experiments with a Finite-Horizon Job-Search Model," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 301-329, September.
    19. Roth, Alvin E & Xing, Xiaolin, 1997. "Turnaround Time and Bottlenecks in Market Clearing: Decentralized Matching in the Market for Clinical Psychologists," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 284-329, April.
    20. Timothy N. Cason & Vai-Lam Mui, 1998. "Social Influence in the Sequential Dictator Game," Monash Economics Working Papers archive-37, Monash University, Department of Economics.
    21. Li, Hao & Rosen, Sherwin, 1998. "Unraveling in Matching Markets," American Economic Review, American Economic Association, vol. 88(3), pages 371-387, June.
    22. Blount, Sally & Bazerman, Max H., 1996. "The inconsistent evaluation of absolute versus comparative payoffs in labor supply and bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 30(2), pages 227-240, August.
    23. Martin A. Lariviere, 2006. "A Note on Probability Distributions with Increasing Generalized Failure Rates," Operations Research, INFORMS, vol. 54(3), pages 602-604, June.
    24. Chun, Young H., 1999. "Selecting the best choice in the full information group interview problem," European Journal of Operational Research, Elsevier, vol. 119(3), pages 635-651, December.
    25. Mortensen, Dale T, 1970. "Job Search, the Duration of Unemployment, and the Phillips Curve," American Economic Review, American Economic Association, vol. 60(5), pages 847-862, December.
    26. Chun, Young H. & Moskowitz, Herbert & Plante, Robert D., 1994. "Dynamic programming formulation of the group interview problem with a general utility function," European Journal of Operational Research, Elsevier, vol. 78(1), pages 81-92, October.
    27. O. Ashenfelter & R. Layard (ed.), 1987. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 2, number 2.
    28. Wing Suen, 2000. "A Competitive Theory of Equilibrium and Disequilibrium Unravelling in Two-Sided Matching," RAND Journal of Economics, The RAND Corporation, vol. 31(1), pages 101-120, Spring.
    29. Gronau, Reuben, 1971. "Information and Frictional Unemployment," American Economic Review, American Economic Association, vol. 61(3), pages 290-301, June.
    30. Hao Li & Wing Suen, 2004. "Self-Fulfilling Early-Contracting Rush," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 301-324, February.
    31. O. Ashenfelter & R. Layard (ed.), 1987. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 1, number 1.
    32. Seale, Darryl A. & Rapoport, Amnon, 1997. "Sequential Decision Making with Relative Ranks: An Experimental Investigation of the "Secretary Problem">," Organizational Behavior and Human Decision Processes, Elsevier, vol. 69(3), pages 221-236, March.
    33. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    34. Jeannette Brosig & Joachim Weimann & Chun-Lei Yang, 2003. "The Hot Versus Cold Effect in a Simple Bargaining Experiment," Experimental Economics, Springer;Economic Science Association, vol. 6(1), pages 75-90, June.
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    2. Dinko Dimitrov & Saptarshi Mukherjee & Nozomu Muto, 2016. "‘Divide-and-choose’ in list-based decision problems," Theory and Decision, Springer, vol. 81(1), pages 17-31, June.

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