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Non-cooperative games with chained confirmed proposals

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  • Giuseppe Attanasi
  • Aurora García Gallego
  • Nikolaos Georgantzís
  • Aldo Montesano

Abstract

We propose a bargaining process with alternating proposals as a way of solving non-cooperative games, giving rise to Pareto efficient agreements which will, in general, differ from the Nash equilibrium of the constituent games.
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Suggested Citation

  • Giuseppe Attanasi & Aurora García Gallego & Nikolaos Georgantzís & Aldo Montesano, 2010. "Non-cooperative games with chained confirmed proposals," LERNA Working Papers 10.02.308, LERNA, University of Toulouse.
    • Handle: RePEc:ler:wpaper:10.02.308
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    4. Alessandro Innocenti, 2008. "Linking Strategic Interaction and Bargaining Theory: The Harsanyi-Schelling Debate on the Axiom of Symmetry," History of Political Economy, Duke University Press, vol. 40(1), pages 111-132, Spring.
    5. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    6. Ochs, Jack & Roth, Alvin E, 1989. "An Experimental Study of Sequential Bargaining," American Economic Review, American Economic Association, vol. 79(3), pages 355-384, June.
    7. Smale, Steve, 1980. "The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games," Econometrica, Econometric Society, vol. 48(7), pages 1617-1634, November.
    8. Cubitt, Robin P & Sugden, Robert, 1994. "Rationally Justifiable Play and the Theory of Non-cooperative Games," Economic Journal, Royal Economic Society, vol. 104(425), pages 798-803, July.
    9. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    10. Neelin, Janet & Sonnenschein, Hugo & Spiegel, Matthew, 1988. "A Further Test of Noncooperative Bargaining Theory: Comment," American Economic Review, American Economic Association, vol. 78(4), pages 824-836, September.
    11. Sutton, John, 1987. "Bargaining experiments," European Economic Review, Elsevier, vol. 31(1-2), pages 272-284.
    12. Nikos Nikiforakis & Hans-Theo Normann & Brian Wallace, 2007. "Asymmetric Enforcement of Cooperation in a Social Dilemma," Department of Economics - Working Papers Series 982, The University of Melbourne.
    13. John Sutton, 1986. "Non-Cooperative Bargaining Theory: An Introduction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 709-724.
    14. Muthoo, Abhinay, 1991. "A Note on Bargaining over a Finite Number of Feasible Agreements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(3), pages 290-292, July.
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    Cited by:

    1. Wood, Peter John, 2010. "Climate Change and Game Theory: a Mathematical Survey," Working Papers 249379, Australian National University, Centre for Climate Economics & Policy.
    2. Attanasi, Giuseppe Marco & Garcia-Gallego, Aurora & Georgantzis, Nikolaos & Montesano, Aldo, 2011. "An Experiment on Prisoner’s Dilemma with Confirmed Proposals," TSE Working Papers 11-274, Toulouse School of Economics (TSE).
    3. Attanasi, Giuseppe & Garcia-Gallego, Aurora & Georgantzis, Nikolaos & Montesano, Aldo, 2011. "An Experiment on Prisoner’s Dilemma with Confirmed Proposals," LERNA Working Papers 11.23.357, LERNA, University of Toulouse.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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