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Taking turns. (English) Zbl 1409.91033

Summary: Two individuals face a regular task that requires the effort of only one. They take turns but sometimes arrange to swap obligations. These swaps account for their changing, private costs. While seemingly primitive, flexible turn-taking is surprisingly efficient, even relative to what can be achieved by mechanisms using monetary transfers. I model and experimentally evaluate a simple form of flexible turn-taking and then present a second form that is both consistent with patterns of subject behavior and approximately second-best in a benchmark case.

MSC:

91A20 Multistage and repeated games
91A90 Experimental studies

Software:

ORSEE; Z-Tree
Full Text: DOI

References:

[1] Abdulkadiroglu, A.; Bagwell, K., The Optimal Chips Mechanism in a Model of Favors (2012), Tech. Rep., Working paper
[2] Abreu, D.; Pearce, D.; Stacchetti, E., Optimal cartel equilibria with imperfect monitoring, J. Econ. Theory, 39, 1, 251-269 (1986) · Zbl 0606.90019
[3] Abreu, D.; Pearce, D.; Stacchetti, E., Toward a Theory of Discounted Repeated Games with Imperfect Monitoring (1990), Tech. Rep · Zbl 0735.90075
[4] Allouche, J.-P.; Shallit, J., The ubiquitous Prouhet-Thue-Morse sequence, (Sequences and Their Applications (1999), Springer: Springer London), 1-16 · Zbl 1005.11005
[5] Aoyagi, M., Bid rotation and collusion in repeated auctions, J. Econ. Theory, 112, 1, 79-105 (Sep. 2003) · Zbl 1076.91014
[6] Athey, S.; Bagwell, K., Optimal collusion with private information, RAND J. Econ., 32, 3, 428-465 (2001)
[7] Athey, S.; Miller, D. A., Efficiency in repeated trade with hidden valuations, Theor. Econ., 2, 3, 299-354 (2007)
[8] Bagnoli, M.; Bergstrom, T., Log-concave probability and its applications, Econ. Theory, 26, 2, 445-469 (2005) · Zbl 1077.60012
[9] Bergemann, D.; Välimäki, J., The dynamic pivot mechanism, Econometrica, 78, 2, 771-789 (2010) · Zbl 1229.91206
[10] Bliss, C.; Nalebuff, B., Dragon-slaying and ballroom dancing: the private supply of a public good, J. Public Econ., 25, 1-2, 1-12 (1984)
[11] Blume, A.; Heidhues, P., Private monitoring in auctions, J. Econ. Theory, 131, 1, 179-211 (2006) · Zbl 1142.91470
[12] Blume, A.; Heidhues, P., Modeling tacit collusion in auctions, J. Inst. Theor. Econ., 164, 1, 163-184 (March 2008)
[13] Cason, T. N.; Lau, S.-H.; Mui, V.-L., Learning, teaching, and turn taking in the repeated assignment game, Econ. Theory, 54, 2, 335-357 (2013) · Zbl 1274.91115
[14] Chung, K.-S.; Ely, J. C., Ex-Post Incentive Compatible Mechanism Design (Feb. 2002), Center for Mathematical Studies in Economics and Management Science: Center for Mathematical Studies in Economics and Management Science Northwestern University, Discussion Papers 1339
[15] Cooper, J.; Dutle, A., Greedy Galois games, Am. Math. Mon., 120, 5, 441-451 (2013) · Zbl 1272.91015
[16] Diekmann, A., Volunteer’s dilemma, J. Conflict Resolution, 29, 605-610 (1985)
[17] Drexl, M.; Kleiner, A., Optimal private good allocation: the case for a balanced budget, Games Econ. Behav., 94, 169-181 (2015) · Zbl 1347.91154
[18] Fischbacher, U., z-Tree: Zurich toolbox for ready-made economic experiments, Exper. Econ., 10, 2, 171-178 (June 2007)
[19] Fudenberg, D.; Levine, D.; Maskin, E., The folk theorem with imperfect public information, Econometrica, 62, 5, 997-1039 (Sep. 1994) · Zbl 0819.90137
[20] Goeree, J. K.; Holt, C. A.; Smith, A. M., An experimental examination of the volunteer’s dilemma, Games Econ. Behav, 102, 303-315 (2017) · Zbl 1409.91074
[21] Greiner, B., The Online Recruitment System ORSEE 2.0 - A Guide for the Organization of Experiments in Economics, Working Paper Series in Economics, vol. 10 (Jun. 2004), University of Cologne, Department of Economics
[22] Guo, M.; Conitzer, V.; Reeves, D. M., Competitive repeated allocation without payments, (Leonardi, S., Internet and Network Economics. Internet and Network Economics, Lecture Notes in Computer Science, vol. 5929 (2009), Springer: Springer Berlin, Heidelberg), 244-255
[23] Hagerty, K. M.; Rogerson, W. P., Robust trading mechanisms, J. Econ. Theory, 42, 1, 94-107 (1987) · Zbl 0609.90015
[24] Harcourt, J. L.; Sweetman, G.; Manica, A.; Johnstone, R. A., Pairs of fish resolve conflicts over coordinated movement by taking turns, Curr. Biol., 20, 2, 156-160 (2010)
[25] Hauser, C.; Hopenhayn, H., Trading favors: optimal exchange and forgiveness (2008), Carlo Alberto Notebooks 88, Collegio Carlo Alberto
[26] Jackson, M. O.; Sonnenschein, H. F., Overcoming incentive constraints by linking decisions, Econometrica, 75, 1, 241-257 (2007) · Zbl 1201.91036
[27] Kaplan, T. R.; Ruffle, B. J., Which way to cooperate, Econ. J., 122, 563, 1042-1068 (2012)
[28] Kuzmics, C.; Palfrey, T.; Rogers, B. W., Symmetric play in repeated allocation games, J. Econ. Theory, 154, 25-67 (2014) · Zbl 1309.91018
[29] Lau, C. O., Soft Transactions (2011), Department of Economics, Michigan State University, Tech. Rep.
[30] Miller, D. A., Robust collusion with private information, Rev. Econ. Stud., 79, 2, 778-811 (2012) · Zbl 1405.91030
[31] Mobius, M., Trading Favors (2001), Tech. Rep.
[32] Neill, D. B., Cooperation and coordination in the turn-taking dilemma, (Proceedings of the 9th Conference on Theoretical Aspects of Rationality and Knowledge. Proceedings of the 9th Conference on Theoretical Aspects of Rationality and Knowledge, TARK ’03 (2003), ACM: ACM New York, NY, USA), 231-244
[33] Olszewski, W.; Safronov, M., Efficient Cooperation in Simple Strategies (2016), Department of Economics, Northwestern University, Tech. Rep., Working Paper
[34] Roy, N., Cooperation Without Immediate Reciprocity: An Experiment in Favor Exchange (2012), Caltech, Tech. Rep.
[35] Sacks, H.; Schegloff, E. A.; Jefferson, G., A simplest systematics for the organization of turn-taking for conversation, Language, 696-735 (1974)
[36] Samuelson, L., Analogies, adaptation, and anomalies, J. Econ. Theory, 97, 2, 320-366 (2001) · Zbl 0991.91021
[37] Shao, R.; Zhou, L., Optimal Allocation of an Indivisible Good (2013), Tech. Rep.
[38] Sheridan, M.; Sharma, A.; Cockerill, H., From Birth to Five Years: Children’s Developmental Progress (Feb, 2014), Routledge
[39] Sherstyuk, K.; Tarui, N.; Saijo, T., Payment schemes in infinite-horizon experimental games, Exper. Econ., 16, 1, 125-153 (2013)
[40] Skrzypacz, A.; Hopenhayn, H., Tacit collusion in repeated auctions, J. Econ. Theory, 114, 1, 153-169 (2004) · Zbl 1059.91030
[41] Stivers, T.; Enfield, N. J.; Brown, P.; Englert, C.; Hayashi, M.; Heinemann, T.; Hoymann, G.; Rossano, F.; De Ruiter, J. P.; Yoon, K.-E., Universals and cultural variation in turn-taking in conversation, Proc. Natl. Acad. Sci. USA, 106, 26, 10587-10592 (2009)
[42] Voelkl, B.; Portugal, S. J.; Unsöld, M.; Usherwood, J. R.; Wilson, A. M.; Fritz, J., Matching times of leading and following suggest cooperation through direct reciprocity during v-formation flight in ibis, Proc. Natl. Acad. Sci. USA, 112, 7, 2115-2120 (2015)
[43] Weesie, J., Incomplete information and timing in the volunteer’s dilemma: a comparison of four models, J. Conflict Resolution, 38, 557-585 (1994)
[44] Weesie, J.; Franzen, A., Cost sharing in a volunteer’s dilemma, J. Conflict Resolution, 42, 600-618 (1998)
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