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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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
Başar T (1976) On the uniqueness of the Nash solution in linear-quadratic differential games. Int J Game Theory 5:65–90
Başar T (1977) Informationally nonunique equilibrium solutions in differential games. SIAM J Control 15(4):636–660
Başar T, Bernhard P (1995) H∞ optimal control and related minimax design problems: a dynamic game approach, 2nd edn. Birkhäuser, Boston
Başar T, Olsder GJ (1999) Dynamic noncooperative game theory. Classics in applied mathematics, 2nd edn. SIAM, Philadelphia (1st edn. Academic Press, London, 1982)
Başar T, Zaccour G (eds) (2018a) Handbook of dynamic game theory. Volume I: theory of dynamic games. Cham
Başar T, Zaccour G (eds) (2018b) Handbook of dynamic game theory. Volume II: applications of dynamic games. Springer, Cham
Fudenberg D, Tirole J (1991) Game theory. MIT Press, Boston
Ho Y-C (1965) Review of ‘differential games’ by R. Isaacs. IEEE Trans Autom Control AC-10(4):501–503
Isaacs R (1975) Differential games, 2nd edn. Kruger, New York (1st edn.: Wiley, New York, 1965)
Nash JF Jr (1950) Equilibrium points in n-person games. Proc Natl Acad Sci 36(1):48–49
Nash JF Jr (1951) Non-cooperative games. Ann Math 54(2):286–295
Owen G (1995) Game theory, 3rd edn. Academic Press, New York
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
Simaan M, Cruz JB Jr (1973) On the Stackelberg strategy in nonzero sum games. J Optim Theory Appl 11: 533–555
Smith JM (1974) The theory of games and the evolution of animal conflicts. J Theor Biol 47:209–221
Smith JM (1982) Evolution and the theory of games. Cambridge University Press, Cambridge, Great Britain
Smith JM, Price GR (1973) The logic of animal conflict. Nature 246:15–18
Starr AW, Ho Y-C (1969) Nonzero-sum differential games. J Optim Theory Appl 3:184–206
von Neumann J (1928) Zur theorie der Gesellschaftspiele. Mathematische Annalen 100:295–320
von Neumann J, Morgenstern O (1947) Theory of games and economic behavior, 2nd edn. Princeton University Press, Princeton (1st edn.: 1944)
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)
Vorob’ev NH (1977) Game theory. Springer, Berlin
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this entry
Cite this entry
Başar, T. (2021). Game Theory: A General Introduction and a Historical Overview. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_26
Download citation
DOI: https://doi.org/10.1007/978-3-030-44184-5_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-44183-8
Online ISBN: 978-3-030-44184-5
eBook Packages: Intelligent Technologies and RoboticsReference Module Computer Science and Engineering