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How Robust is the Equal Split Norm? Responsive Strategies, Selection Mechanisms and the Need for Economic Interpretation of Simulation Parameters

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  • Herbert Dawid
  • Joern Dermietzel

Abstract

In this paper the evolution of bargaining behavior is studied under the assumption that individuals might choose between obstinate and responsive strategies. Following Ellingson (1997) it is assumed that obstinate agents commit to a certain demand, whereas responsive agents adapt optimally to their opponents strategy. Agents change strategies due to imitation based on observations of the success of other individuals. An agent-based model, where the updating of the population profile is governed by tournament selection and mutation, is used to describe the evolution of behavior. In contrast to existing local and stochastic stability results, which predict robust convergence to an equal split norm in this and related frameworks, the simulations show persistent episodes of substantial deviation of behavior from the equal split. Furthermore, it is shown that parameters governing frequency and type of updating as well as selection pressure have significant impact on the qualitative features of the simulation results. This shows the importance of being able to attach economic interpretations to changes in these parameter values. Copyright Springer Science+Business Media, Inc. 2006

Suggested Citation

  • Herbert Dawid & Joern Dermietzel, 2006. "How Robust is the Equal Split Norm? Responsive Strategies, Selection Mechanisms and the Need for Economic Interpretation of Simulation Parameters," Computational Economics, Springer;Society for Computational Economics, vol. 28(4), pages 371-397, November.
  • Handle: RePEc:kap:compec:v:28:y:2006:i:4:p:371-397
    DOI: 10.1007/s10614-006-9040-8
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    1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    2. William H. Sandholm, 2002. "Evolutionary Implementation and Congestion Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 667-689.
    3. Saez-Marti, Maria & Weibull, Jorgen W., 1999. "Clever Agents in Young's Evolutionary Bargaining Model," Journal of Economic Theory, Elsevier, vol. 86(2), pages 268-279, June.
    4. Borgers, Tilman & Sarin, Rajiv, 1997. "Learning Through Reinforcement and Replicator Dynamics," Journal of Economic Theory, Elsevier, vol. 77(1), pages 1-14, November.
    5. Tesfatsion, Leigh & Judd, Kenneth L., 2006. "Handbook of Computational Economics, Vol. 2: Agent-Based Computational Economics," Staff General Research Papers Archive 10368, Iowa State University, Department of Economics.
    6. Nowak Martin A. & Sigmund Karl, 1995. "Invasion Dynamics of the Finitely Repeated Prisoner's Dilemma," Games and Economic Behavior, Elsevier, vol. 11(2), pages 364-390, November.
    7. Tore Ellingsen, 1997. "The Evolution of Bargaining Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 581-602.
    8. Troger, Thomas, 2002. "Why Sunk Costs Matter for Bargaining Outcomes: An Evolutionary Approach," Journal of Economic Theory, Elsevier, vol. 102(2), pages 375-402, February.
    9. Dawid, Herbert & MacLeod, W. Bentley, 2008. "Hold-up and the evolution of investment and bargaining norms," Games and Economic Behavior, Elsevier, vol. 62(1), pages 26-52, January.
    10. Ken Binmore & Larry Samuelson & Petyon Young, 2003. "Equilibrium Selection in Bargaining Models," Levine's Bibliography 506439000000000466, UCLA Department of Economics.
    11. Ellingsen, Tore & Robles, Jack, 2002. "Does Evolution Solve the Hold-Up Problem?," Games and Economic Behavior, Elsevier, vol. 39(1), pages 28-53, April.
    12. Carpenter, Jeffrey P, 2002. "Evolutionary Models of Bargaining: Comparing Agent-Based Computational and Analytical Approaches to Understanding Convention Evolution," Computational Economics, Springer;Society for Computational Economics, vol. 19(1), pages 25-49, February.
    13. Leigh Tesfatsion & Kenneth L. Judd (ed.), 2006. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 2, number 2.
    14. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 1-14, December.
    15. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
    16. James G. March, 1991. "Exploration and Exploitation in Organizational Learning," Organization Science, INFORMS, vol. 2(1), pages 71-87, February.
    17. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
    18. Herbert Dawid and Bentley MacLeod, 2001. "Holdup and the Evolution of Bargaining Conventions," Computing in Economics and Finance 2001 104, Society for Computational Economics.
    19. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    20. Marks, Robert, 2006. "Market Design Using Agent-Based Models," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 27, pages 1339-1380, Elsevier.
    21. Enrico Gerding & David van Bragt & Han La Poutré, 2003. "Multi-Issue Negotiation Processes by Evolutionary Simulation, Validation and Social Extensions," Computational Economics, Springer;Society for Computational Economics, vol. 22(1), pages 39-63, August.
    22. Dawid, Herbert, 1999. "On the convergence of genetic learning in a double auction market," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1545-1567, September.
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    1. Ludo Waltman & Nees Eck & Rommert Dekker & Uzay Kaymak, 2011. "Economic modeling using evolutionary algorithms: the effect of a binary encoding of strategies," Journal of Evolutionary Economics, Springer, vol. 21(5), pages 737-756, December.
    2. Yoshio Kamijo, 2023. "Fixation of inequality and emergence of the equal split norm: Approach from behavioral bargaining theory," Working Papers 2209, Waseda University, Faculty of Political Science and Economics, revised Jun 2023.
    3. Alexander Max Bauer & Frauke Meyer & Jan Romann & Mark Siebel & Stefan Traub, 2022. "Need, equity, and accountability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 769-814, November.
    4. Dawid, Herbert, 2007. "Evolutionary game dynamics and the analysis of agent-based imitation models: The long run, the medium run and the importance of global analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2108-2133, June.

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