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Game Theory: A General Introduction and A Historical Overview

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Encyclopedia of Systems and Control

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Abstract

This entry 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. The entry 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 entries 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  MathSciNet  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  MathSciNet  Google Scholar 

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

    Article  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 (1st edn. Academic Press, London, 1982)

    Google Scholar 

  • Başar T, Zaccour G (eds) (2018a) Handbook of dynamic game theory. Volume I: theory of dynamic games. Cham

    Google Scholar 

  • Başar T, Zaccour G (eds) (2018b) Handbook of dynamic game theory. Volume II: applications of dynamic games. Springer, Cham

    Google Scholar 

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

    MATH  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 (1st edn.: 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  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    MATH  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 Spec Issue Game Theory 26(5):77–97

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Book  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  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  • von Neumann J, Morgenstern O (1947) Theory of games and economic behavior, 2nd edn. Princeton University Press, Princeton (1st edn.: 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  Google Scholar 

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Author information

Authors and Affiliations

  1. Coordinated Science Laboratory, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Tamer Başar

Authors
  1. Tamer Başar
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Correspondence to Tamer Başar .

Editor information

Editors and Affiliations

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

    John Baillieul

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

    Tariq Samad

Section Editor information

  1. Coordinated Science Laboratory and Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Tamer Başar

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Başar, T. (2019). Game Theory: A General Introduction and A 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_26-2

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

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5102-9

  • 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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