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Encyclopedia of Systems and Control pp 1–6Cite as

Game Theory: Historical Overview

Abstract

This article provides an overview of the aspects of game theory that are covered in this Encyclopedia, which includes a broad spectrum of topics on static and dynamic game theory. It starts with a brief overview of game theory, identifying its basic ingredients, and continues with a brief historical account of the development and evolution of the field. It concludes by providing pointers to other articles in the Encyclopedia on game theory, and a list of references.

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Bibliography

  • Başar T (1974) A counter example in linear-quadratic games: existence of non-linear Nash solutions. J Optim Theory Appl 14(4):425–430

    Article  MATH  Google Scholar 

  • Başar T (1976) On the uniqueness of the Nash solution in linear-quadratic differential games. Int J Game Theory 5:65–90

    Article  MATH  Google Scholar 

  • Başar T (1977) Informationally nonunique equilibrium solutions in differential games. SIAM J Control 15(4):636–660

    Article  MATH  MathSciNet  Google Scholar 

  • Başar T, Bernhard P (1995) H∞ optimal control and related minimax design problems: a dynamic game approach, 2nd edn. Birkhäuser, Boston

    MATH  Google Scholar 

  • Başar T, Olsder GJ (1999) Dynamic noncooperative game theory. Classics in applied mathematics, 2nd edn. SIAM, Philadelphia. (First edition, Academic, London, 1982)

    Google Scholar 

  • Fudenberg D, Tirole J (1991) Game theory. MIT, Cambridge

    Google Scholar 

  • Ho Y-C (1965) Review of ‘Differential Games’ by R. Isaacs. IEEE Trans Autom Control AC-10(4):501–503

    Article  Google Scholar 

  • Isaacs R (1975) Differential games, 2nd edn. Kruger, New York. (First edition: Wiley, New York, 1965)

    Google Scholar 

  • Nash JF Jr (1950) Equilibrium points in N-person games. Proc Natl Acad Sci 36(1):48–49

    Article  MATH  MathSciNet  Google Scholar 

  • Nash JF Jr (1951) Non-cooperative games. Ann Math 54(2):286–295

    Article  MATH  MathSciNet  Google Scholar 

  • Owen G (1995), Game theory, 3rd edn. Academic, New York

    Google Scholar 

  • Saad W, Han Z, Debbah M, Hjorungnes A, Başar T (2009) Coalitional game theory for communication networks [a tutorial]. IEEE Signal Process Mag 26(5):77–97. Special issue on Game Theory

    Google Scholar 

  • Simaan M, Cruz JB Jr (1973) On the Stackelberg strategy in nonzero sum games. J Optim Theory Appl 11:533–555

    Article  MATH  MathSciNet  Google Scholar 

  • Smith JM (1974) The theory of games and the evolution of animal conflicts. J Theor Biol 47: 209–221

    Article  Google Scholar 

  • Smith JM (1982) Evolution and the theory of games. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  • Smith JM, Price GR (1973) The logic of animal conflict. Nature 246:15–18

    Article  Google Scholar 

  • Starr AW, Ho Y-C (1969) Nonzero-sum differential games. J Optim Theory Appl 3:184–206

    Article  MATH  MathSciNet  Google Scholar 

  • von Neumann J (1928) Zur theorie der Gesellschaftspiele. Mathematische Annalen 100:295–320

    Article  MATH  MathSciNet  Google Scholar 

  • von Neumann J, Morgenstern O (1947) Theory of games and economic behavior, 2nd edn. Princeton University Press, Princeton. (First edition: 1944)

    Google Scholar 

  • von Stackelberg H (1934) Marktform und Gleichgewicht, Springer, Vienna. (An English translation appeared in 1952 entitled “The theory of the market economy,” published by Oxford University Press, Oxford)

    Google Scholar 

  • Vorob’ev NH (1977) Game theory. Springer, Berlin

    Book  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Coordinated Science Laboratory, University of Illinois, 1308 West Main, 61801, Urbana, IL, USA

    Tamer Başar

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  1. Tamer Başar
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Correspondence to Tamer Başar .

Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, Massachusetts, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, Minnesota, USA

    Tariq Samad

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© 2013 Springer-Verlag London

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Başar, T. (2013). Game Theory: Historical Overview. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_26-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_26-1

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  • Publisher Name: Springer, London

  • Online ISBN: 978-1-4471-5102-9

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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Chapter history

  1. Latest

    Game Theory: A General Introduction and A Historical Overview
    Published:
    13 September 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_26-2

  2. Original

    Game Theory: Historical Overview
    Published:
    31 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_26-1

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