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Introduction

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Game Theory

Part of the book series: Springer Texts in Business and Economics ((STBE))

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Abstract

The best introduction to game theory is by way of examples. This chapter starts with a global definition in Sect. 1.1, collects some historical facts in Sect. 1.2, and presents examples in Sect. 1.3. Section 1.4 briefly comments on the distinction between cooperative and noncooperative game theory.

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Notes

  1. 1.

    See Nasar (1998) for a biography, and the later movie with the same title A Beautiful Mind.

  2. 2.

    Feyerabend’s (1974) ‘anything goes’ adage reflects a workable attitude in a young science like game theory.

  3. 3.

    The numbers in this table are the total payoffs to coalitions and not the net payoffs compared to the coalition members staying alone instead of cooperating. These would be, respectively, 0, 0, 0, 7, 12, 0, and 13.

References

  • Aumann, R. J., & Maschler, M. (1985). Game theoretic analysis of a bankruptcy problem from the Talmud. Journal of Economic Theory, 36, 195–213.

    Article  Google Scholar 

  • Axelrod, R. (1984). The evolution of cooperation. New York: Basic Books.

    Google Scholar 

  • Bertrand, J. (1883). Review of Walras’s ‘Théorie mathématique de la richesse sociale’ and Cournot’s ‘Recherches sur les principes mathématiques de la théorie des richesses’. Journal des Savants, 499–508 [translated by M. Chevaillier and reprinted in Magnan de Bornier (1992), 646–653].

    Google Scholar 

  • Binmore, K., Rubinstein, A., & Wolinsky, A. (1986). The Nash bargaining solution in economic modelling. Rand Journal of Economics, 17, 176–188.

    Article  Google Scholar 

  • Bird, C. G. (1976). On cost allocation for a spanning tree: a game theoretic approach. Networks, 6, 335–350.

    Article  Google Scholar 

  • Black, D. (1969). Lewis Carroll and the theory of games. In American Economic Review, Proceedings.

    Google Scholar 

  • Bondareva, O. N. (1962). Theory of the core in the n-person game. Vestnik Leningradskii Universitet, 13, 141–142 (in Russian).

    Google Scholar 

  • Brams, S. J. (1980). Biblical games: A strategic analysis of stories in the Old Testament. Cambridge: MIT Press.

    Google Scholar 

  • Churchill, W. (1983). Second world war. Boston: Houghton Mifflin.

    Google Scholar 

  • Cournot, A. (1838). Recherches sur les principes mathématiques de la théorie des richesses [English translation (1897) Researches into the mathematical principles of the theory of wealth]. New York: Macmillan.

    Google Scholar 

  • Curiel, I. (1997). Cooperative game theory and applications: Cooperative games arising from combinatorial optimization problems. Boston: Kluwer Academic.

    Book  Google Scholar 

  • Dimand, M. A., & Dimand, R. W. (1996). The history of game theory, volume 1: from the beginnings to 1945. London: Routledge.

    Google Scholar 

  • Dodgson, C. L. (1884). The principles of parliamentary representation. London: Harrison & Sons.

    Google Scholar 

  • Dresher, M., Tucker. A. W., & Wolfe, P. (Eds.), (1957). Contributions to the theory of games III. Annals of mathematics studies (Vol. 39). Princeton: Princeton University Press.

    Google Scholar 

  • Dresher, M., Shapley, L. S., & Tucker, A. W., (Eds.), (1964). Advances in game theory. Annals of mathematics studies (Vol. 52). Princeton: Princeton University Press.

    Google Scholar 

  • Feyerabend, P. K. (1974). Against method. London: New Left Books.

    Google Scholar 

  • Fudenberg, D., & Tirole, J. (1991a). Game theory. Cambridge: MIT Press.

    Google Scholar 

  • Gardner, R. (1995). Games for business and economics. New York: Wiley.

    Google Scholar 

  • Gibbons, R. (1992). A primer in game theory. Hertfordshire: Harvester Wheatsheaf.

    Google Scholar 

  • Gillies, D. B. (1953). Some theorems on n-person games, Ph.D. Thesis. Princeton: Princeton University Press.

    Google Scholar 

  • Hardin, G. (1968). The tragedy of the commons. Science, 162, 1243–1248.

    Article  Google Scholar 

  • Harsanyi, J. C. (1967/1968) Games with incomplete information played by “Bayesian” players I, II, and III. Management Science, 14, 159–182, 320–334, 486–502.

    Google Scholar 

  • Kuhn, H. W., & Tucker, A. W. (Eds.), (1950). Contributions to the theory of games I. Annals of mathematics studies (Vol. 24). Princeton: Princeton University Press.

    Google Scholar 

  • Kuhn, H. W., & Tucker, A. W. (Eds.), (1953). Contributions to the theory of games II. Annals of mathematics studies (Vol. 28). Princeton: Princeton University Press.

    Google Scholar 

  • Luce, R. D., & Raiffa, H. (1957). Games and decisions: Introduction and critical survey. New York: Wiley.

    Google Scholar 

  • Luce, R. D., & Tucker, A. W. (Eds.), (1958). Contributions to the theory of games IV. Annals of mathematics studies (Vol. 40). Princeton: Princeton University Press.

    Google Scholar 

  • Maschler, M., Solan, E., & Zamir, S. (2013). Game theory. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Morris, P. (1994). Introduction to game theory. New York: Springer.

    Book  Google Scholar 

  • Moulin, H. (1988). Axioms of cooperative decision making. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Moulin, H. (1995). Cooperative microeconomics; a game-theoretic introduction. Hemel Hempstead: Prentice Hall/Harvester Wheatsheaf.

    Book  Google Scholar 

  • Myerson, R. B. (1991). Game theory, analysis of conflict. Cambridge: Harvard University Press.

    Google Scholar 

  • Nasar, S. (1998). A beautiful mind. London: Faber and Faber Ltd.

    Google Scholar 

  • Nash, J. F. (1950). The bargaining problem. Econometrica, 18, 155–162.

    Article  Google Scholar 

  • Nash, J. F. (1951). Non-cooperative games. Annals of Mathematics, 54, 286–295.

    Article  Google Scholar 

  • Nash, J. F. (1953). Two-person cooperative games. Econometrica, 21, 128–140.

    Article  Google Scholar 

  • Osborne, M. J. (2004). An introduction to game theory. New York: Oxford University Press.

    Google Scholar 

  • Owen, G. (1995). Game theory (3rd ed.). San Diego: Academic.

    Google Scholar 

  • Peleg, B., & Sudhölter, P. (2003). Introduction to the theory of cooperative games. Boston: Kluwer Academic.

    Book  Google Scholar 

  • Perea, A. (2012). Epistemic game theory: Reasoning and choice. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Rasmusen, E. (1989). Games and information: An introduction to game theory (2nd ed., 1994/1995). Oxford: Basil Blackwell.

    Google Scholar 

  • Rubinstein, A. (1982). Perfect equilibrium in a bargaining model. Econometrica, 50, 97–109.

    Article  Google Scholar 

  • Schelling, T. C. (1960). The strategy of conflict. Cambridge: Harvard University Press.

    Google Scholar 

  • Schmeidler, D. (1969). The nucleolus of a characteristic function game. SIAM Journal on Applied Mathematics, 17, 1163–1170.

    Article  Google Scholar 

  • Selten, R. (1965). Spieltheoretische Behandlung eines Oligopolmodels mit Nachfragezeit. Zeitschrift für Gesammte Staatswissenschaft, 121, 301–324.

    Google Scholar 

  • Selten, R. (1975). Reexamination of the perfectness concept for equilibrium points in extensive games. International Journal of Game Theory, 4, 25–55.

    Article  Google Scholar 

  • Shapley, L. S. (1953). A value for n-person games. In: A. W. Tucker & H. W. Kuhn (Eds.), Contributions to the theory of games II (pp. 307–317). Princeton: Princeton University Press.

    Google Scholar 

  • Shapley, L. S. (1967). On balanced sets and cores. Naval Research Logistics Quarterly, 14, 453–460.

    Article  Google Scholar 

  • Sun Tzu (1988) The art of war [Translated by Thomas Cleary]. Boston: Shambala.

    Google Scholar 

  • Thomas, L. C. (1986). Games, theory and applications. Chichester: Ellis Horwood Limited.

    Google Scholar 

  • von Neumann, J. (1928). Zur Theorie der Gesellschaftsspiele. Mathematische Annalen, 100, 295–320.

    Article  Google Scholar 

  • von Neumann, J., & Morgenstern, O. (1944/1947) Theory of games and economic behavior. Princeton: Princeton University Press.

    Google Scholar 

  • von Stackelberg, H. F. (1934). Marktform und Gleichgewicht. Wien: Julius Springer.

    Google Scholar 

  • Watson, J. (2002). Strategy, an introduction to game theory. New York: Norton.

    Google Scholar 

  • Zermelo, E. (1913). Über eine Anwendung der Mengenlehre auf die Theorie des Schachspiels. In Proceedings Fifth International Congress of Mathematicians (Vol. 2, pp. 501–504).

    Google Scholar 

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Authors and Affiliations

  1. Department of Quantitative Economics, Maastricht University, Maastricht, The Netherlands

    Hans Peters

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  1. Hans Peters
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Peters, H. (2015). Introduction. In: Game Theory. Springer Texts in Business and Economics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46950-7_1

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