Glossary
- Player :
-
A participant in a game
- Action set :
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The set of actions that a player may choose
- Action profile :
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A list of actions, one for each player
- Payoff :
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The utility a player obtains from a given action profile
Definition of the Subject
Game theory concerns the interaction of decision makers. This interaction is modeled by means of games. There are various approaches to constructing games. One approach is to focus on the possible outcomes of the decision-makers’ interaction by abstracting from the actions or decisions that may lead to these outcomes. The main tool used to implement this approach is the cooperative game. Another approach is to focus on the actions that the decision-makers can take, the main tool being the non-cooperative game. Within this approach, strategic interactions are modeled in two ways. One is by means of dynamic, or extensive form games, and the other is by means of static, or strategic games. Dynamic games stress the sequentiality of the various...
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Bibliography
Athey S (2001) Single crossing properties and the existence of pure strategy equilibria in games of incomplete information. Econometrica 69;861–889
Aumann RJ (1974) Subjectivity and correlation in randomized strategies. J Math Econ 1;67–96
Aumann RJ (1987) Correlated equilibrium as an expression of Bayesian rationality. Econometrica 55;1–18
Aumann RJ (1995) Backward induction and common knowledge of rationality. Games Econ Behav 8;6–19
Aumann RJ, Brandenburger A (1995) Epistemic conditions for Nash equilibrium. Econometrica 63;1161–1180
Binmore K (2007) Playing for real. Oxford University Press, New York
Brandenburger A, Dekel E (1987) Rationalizability and correlated equilibria. Econometrica 55;1391–1402
Crawford V (1990) Equilibrium without independence. J Econ Theory 50;127–154
Fudenberg D, Tirole J (1991) Game theory. MIT Press, Cambridge
Geanakoplos J (2003) Nash and Walras equilibrium via Brouwer. Economic Theory 21;585–603
Glicksberg IL (1952) A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points. Proc Am Math Soc 3;170–174
Harsanyi J (1967) Games with incomplete information played by ‘Bayesian’ players. Manag Sci Part I 14:159–82; Part II 14;320–334; Part III 14:486–502
Krishna V, Morgan J (1997) An analysis of the war of attrition and the all-pay auction. J Econ Theory 72;343–362
McAdams D (2003) Isotone equilibrium in games of incomplete information. Econometrica 71;1191–1214
McKelvey RD, Palfrey TR (1992) An experimental study of the centipede game. Econometrica 60:803–836
Nash JF (1950) Equilibrium points in n-person games. Proc Natl Acad Sci U S A 36;48–49
O’Neill B (1987) Nonmetric test of the minimax theory of two-person zero-sum games. Proc Natl Acad Sci 84:2106–2109
Osborne MJ (2004) An introduction to game theory. Oxford University Press, New York
Osborne MJ, Rubinstein A (1994) A course in game theory. MIT Press, Cambridge
Palacios-Huerta 1 (2003) Professionals play minimax. Rev Econ Stud 70;395–415
Smith MJ (1974) The theory of games and the evolution of animal conflicts. J Theor Biol 47;209–221
Smith MJ, Price GR (1973) The logic of animal conflict. Nature 246: 15–18
von Neumann J (1928) Zur Theorie der Gesellschaftsspiele. Math Ann 100;295–320
von Neumann J (1959) On the theory of games of strategy. In: Tucker AW, Luce RD (eds) Contributions to the theory of games, vol IV. Princeton University Press, Princeton
Walker M, Wooders J (2001) Minimax play at Wimbledon. Am Econ Rev 91;1521–1538
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Volij, O. (2009). Static Games. In: Sotomayor, M., Pérez-Castrillo, D., Castiglione, F. (eds) Complex Social and Behavioral Systems . Encyclopedia of Complexity and Systems Science Series. Springer, New York, NY. https://doi.org/10.1007/978-1-0716-0368-0_517
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