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Adaptive Play in Multiplayer Bargaining Situations

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Author Info
Murali Agastia

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Abstract

We study the dual issues of allocation and coalition formation in a model of so-cial learning. For a class of economies which can be expressed in terms of a real valued char-acteristic function, we first show that all self-perpetuating (steady-state) allocations realized froma simple bargaining game must be core allocations although players make simultaneous demands for surplus and only on their own behalf. We also exhibit a a sufficient condition for global (probabilistic) convergence to the core.

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Paper provided by ESRC Centre on Economics Learning and Social Evolution in its series ELSE working papers with number 007.

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Handle: RePEc:els:esrcls:007

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Web page: http://www.ucl.ac.uk/economics/ELSE/
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Related research
Keywords: Bargaining; Learning; Characteristic Functions; Core.;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Perry, M. & Rany, P., 1992. "A Non-Cooperative View of Coalition Formation and the Core," UWO Department of Economics Working Papers 9203, University of Western Ontario, Department of Economics.
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  2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  3. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-58, December. [Downloadable!] (restricted)
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  4. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April. [Downloadable!] (restricted)
  5. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February. [Downloadable!] (restricted)
  6. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 60(2), pages 463-77, April. [Downloadable!] (restricted)
  7. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-45, September. [Downloadable!] (restricted)
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  8. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August. [Downloadable!] (restricted)
  9. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Rozen, Kareen, 2008. "Conflict Leads to Cooperation in Nash Bargaining," Working Papers 39, Yale University, Department of Economics. [Downloadable!]
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  2. Tone Dieckmann & Ulrich Schwalbe, 2000. "Dynamic Coalition Formation and the Core," Econometric Society World Congress 2000 Contributed Papers 1878, Econometric Society. [Downloadable!]
  3. Gerard van der Laan & Vitaly Pruzhansky, 2004. "Demand Adjustment in Coalitional Games," Tinbergen Institute Discussion Papers 04-121/1, Tinbergen Institute. [Downloadable!]
  4. Tone Dieckmann; & Ulrich Schwalbe, 1998. "Dynamic Coalition Formation and the Core," Economics, Finance and Accounting Department Working Paper Series n810798, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth. [Downloadable!]
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