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Linking Strategic Interaction and Bargaining Theory. The Harsanyi - Schelling Debate on the Axiom of Symmetry

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  • Alessandro Innocenti

Abstract

This paper analyses the early contributions of John Harsanyi and Thomas C. Schelling to bargaining theory. In his work, Harsanyi (1956) draws Nash’s solution to two-person cooperative games from the bargaining model proposed by Zeuthen (1930). Whereas Schelling (1960) proposes a multi-faceted theory of conflict that, without dismissing the assumption of rational behaviour, points out some of its paradoxical consequences. Harsanyi and Schelling’s contrasting views on the axiom of symmetry, as postulated by Nash (1950), are then presented. The analysis of this debate illustrates that, although in the early 1960s two different approaches to link strategic interaction and bargaining theory were proposed, only Harsanyi’s insights were fully developed later. Lastly, the causes of this evolution are assessed.

Suggested Citation

  • Alessandro Innocenti, 2005. "Linking Strategic Interaction and Bargaining Theory. The Harsanyi - Schelling Debate on the Axiom of Symmetry," Department of Economics University of Siena 468, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:468
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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. anonymous, 1961. "Book Reviews," Management Science, INFORMS, vol. 7(2), pages 187-194, January.
    4. John C. Harsanyi, 1962. "Bargaining in ignorance of the opponent's utility function," Journal of Conflict Resolution, Peace Science Society (International), vol. 6(1), pages 29-38, March.
    5. Merrill M. Flood, 1958. "Some Experimental Games," Management Science, INFORMS, vol. 5(1), pages 5-26, October.
    6. Robert J. Leonard, 1992. "Reading Cournot, Reading Nash / or / The Emergence and Stabilization of the Nash equilibrium," Cahiers de recherche du Département des sciences économiques, UQAM 9214, Université du Québec à Montréal, Département des sciences économiques.
    7. Putnam, Robert D., 1988. "Diplomacy and domestic politics: the logic of two-level games," International Organization, Cambridge University Press, vol. 42(3), pages 427-460, July.
    8. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225, Elsevier.
    9. Robert L. Bishop, 1963. "Game-Theoretic Analyses of Bargaining," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 77(4), pages 559-602.
    10. Leonard, Robert J, 1994. "Reading Cournot, Reading Nash: The Creation and Stabilisation of the Nash Equilibrium," Economic Journal, Royal Economic Society, vol. 104(424), pages 492-511, May.
    11. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, October.
    12. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    13. anonymous, 1961. "Book Reviews," Management Science, INFORMS, vol. 8(1), pages 109-112, October.
    14. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    15. Myerson, Roger, 2001. "Learning Game Theory from John Harsanyi," Games and Economic Behavior, Elsevier, vol. 36(1), pages 20-25, July.
    16. Kreps, David M., 1990. "Game Theory and Economic Modelling," OUP Catalogue, Oxford University Press, number 9780198283812.
    17. Nicola Giocoli, 2004. "Nash Equilibrium," History of Political Economy, Duke University Press, vol. 36(4), pages 639-666, Winter.
    18. anonymous, 1961. "Book Reviews," Management Science, INFORMS, vol. 7(3), pages 316-322, April.
    19. M. Shubik & K. Okuguchi & K. Borchardt & F. Schneider, 1990. "Book reviews," Journal of Economics, Springer, vol. 51(2), pages 207-218, June.
    20. anonymous, 1961. "Book Reviews," Management Science, INFORMS, vol. 7(4), pages 445-454, July.
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    1. Innocenti, Alessandro, 2010. "How a psychologist informed economics: The case of Sidney Siegel," Journal of Economic Psychology, Elsevier, vol. 31(3), pages 421-434, June.
    2. 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.
    3. 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).
    4. Correa Romar, 2014. "Mathematical Foci," Mathematical Economics Letters, De Gruyter, vol. 2(1-2), pages 5-11, August.
    5. 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.
    6. Pope, Devin G. & Pope, Jaren C. & Sydnor, Justin R., 2015. "Focal points and bargaining in housing markets," Games and Economic Behavior, Elsevier, vol. 93(C), pages 89-107.
    7. Bolton, Gary E. & Karagözoğlu, Emin, 2016. "On the influence of hard leverage in a soft leverage bargaining game: The importance of credible claims," Games and Economic Behavior, Elsevier, vol. 99(C), pages 164-179.
    8. Alessandro Innocenti, 2008. "How can a psychologist inform economics? The strange case of Sidney Siegel," Department of Economic Policy, Finance and Development (DEPFID) University of Siena 0808, Department of Economic Policy, Finance and Development (DEPFID), University of Siena.

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    More about this item

    Keywords

    bargaining; game theory; symmetry;
    All these keywords.

    JEL classification:

    • B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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