Game Theory

R. J. Aumann

doi:10.1057/978-1-349-95189-5_942

Game Theory

R. J. Aumann

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Game theory concerns the behaviour of decision makers whose decisions affect each other. Its analysis is from a rational rather than a psychological or sociological viewpoint. It is indeed a sort of umbrella theory for the rational side of social science, where ‘social’ is interpreted broadly, to include human as well as non-human players (computers, animals, plants). Its methodologies apply in principle to all interactive situations, especially in economics, political science, evolutionary biology, and computer science. There are also important connections with accounting, statistics, the foundations of mathematics, social psychology, law, business, and branches of philosophy such as epistemology and ethics.

Original language	English
Title of host publication	The New Palgrave Dictionary of Economics, Third Edition
Publisher	Palgrave Macmillan
Pages	5014-5053
Number of pages	40
ISBN (Electronic)	9781349951895
ISBN (Print)	9781349951888
DOIs	https://doi.org/10.1057/978-1-349-95189-5_942
State	Published - 1 Jan 2018

Bibliographical note

Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s) 2018.

Keywords

Asymmetric information
Aumann, R. J.
Axelrod, R.
Axiomatics
Bargaining
Bounded rationality
Brouwer’s fixed-point theorem
Coalitional games
Coalitions
Common knowledge assumption
Competitive equilibrium
Consistency
Continuous games
Cooperative game theory
Cooperative games
Cores
Correlated equilibria
Cost allocation
Differential games
Distributed computing
Duality theorems
Dynamic games
Ethics
Evolutionary economics
Expected utility theory
Extensive form games
Fixed threats
Folk theorem
Game theory
Games of incomplete information
General equilibrium
Gillies, D.
Harsanyi, J.
Impossibility theorem
Imputations
Individual rationality
Kakutani’s fixed point theorem
Kernel
Kuhn, H.
Lemke- Howson algorithm
Linear inequalities
Linear programming
Luce, R.
Market games
Mathematical economics
Mathematical programming
Maynard Smith, J.
Milnor, J.
Minimax theorem
Mixed strategy game
Monopoly
Monopsony
Morgenstern, O.
Nash equilibrium
Nash program
Nash, J.
Net worth
Non-cooperative games
Nucleolus
Oligopoly
Perfect information
Prisoner’s dilemma
Probability distributions
Raiffa, H.
Ramsey, F.
Randomization
Refinements of Nash equilibrium
Repeated games
Savage, L.
Selten, R.
Shadow pricing
Shapley value
Shapley, L.
Shubik, M.
Small worlds
Solution concepts
Stable set theory
Statistical decision theory
Stochastic games
Strategic equilibrium
Strategic games
Strictly competitive games
Strictly determined games
Subgame perfection
Subgames
Super additivity
Testing
Tit for tat
Transferable utility
Tucker, A.
Uncertainty
Utility functions
Value equivalence principle
Voting games
Weighted voting game
Zermelo’s theorem
Zero-sum games
von Neumann, J.

Access to Document

10.1057/978-1-349-95189-5_942

Cite this

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AB - Game theory concerns the behaviour of decision makers whose decisions affect each other. Its analysis is from a rational rather than a psychological or sociological viewpoint. It is indeed a sort of umbrella theory for the rational side of social science, where ‘social’ is interpreted broadly, to include human as well as non-human players (computers, animals, plants). Its methodologies apply in principle to all interactive situations, especially in economics, political science, evolutionary biology, and computer science. There are also important connections with accounting, statistics, the foundations of mathematics, social psychology, law, business, and branches of philosophy such as epistemology and ethics.

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KW - Aumann, R. J.

KW - Axelrod, R.

KW - Axiomatics

KW - Bargaining

KW - Bounded rationality

KW - Brouwer’s fixed-point theorem

KW - Coalitional games

KW - Coalitions

KW - Common knowledge assumption

KW - Competitive equilibrium

KW - Consistency

KW - Continuous games

KW - Cooperative game theory

KW - Cooperative games

KW - Cores

KW - Correlated equilibria

KW - Cost allocation

KW - Differential games

KW - Distributed computing

KW - Duality theorems

KW - Dynamic games

KW - Ethics

KW - Evolutionary economics

KW - Expected utility theory

KW - Extensive form games

KW - Fixed threats

KW - Folk theorem

KW - Game theory

KW - Games of incomplete information

KW - General equilibrium

KW - Gillies, D.

KW - Harsanyi, J.

KW - Impossibility theorem

KW - Imputations

KW - Individual rationality

KW - Kakutani’s fixed point theorem

KW - Kernel

KW - Kuhn, H.

KW - Lemke- Howson algorithm

KW - Linear inequalities

KW - Linear programming

KW - Luce, R.

KW - Market games

KW - Mathematical economics

KW - Mathematical programming

KW - Maynard Smith, J.

KW - Milnor, J.

KW - Minimax theorem

KW - Mixed strategy game

KW - Monopoly

KW - Monopsony

KW - Morgenstern, O.

KW - Nash equilibrium

KW - Nash program

KW - Nash, J.

KW - Net worth

KW - Non-cooperative games

KW - Nucleolus

KW - Oligopoly

KW - Perfect information

KW - Prisoner’s dilemma

KW - Probability distributions

KW - Raiffa, H.

KW - Ramsey, F.

KW - Randomization

KW - Refinements of Nash equilibrium

KW - Repeated games

KW - Savage, L.

KW - Selten, R.

KW - Shadow pricing

KW - Shapley value

KW - Shapley, L.

KW - Shubik, M.

KW - Small worlds

KW - Solution concepts

KW - Stable set theory

KW - Statistical decision theory

KW - Stochastic games

KW - Strategic equilibrium

KW - Strategic games

KW - Strictly competitive games

KW - Strictly determined games

KW - Subgame perfection

KW - Subgames

KW - Super additivity

KW - Testing

KW - Tit for tat

KW - Transferable utility

KW - Tucker, A.

KW - Uncertainty

KW - Utility functions

KW - Value equivalence principle

KW - Voting games

KW - Weighted voting game

KW - Zermelo’s theorem

KW - Zero-sum games

KW - von Neumann, J.

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BT - The New Palgrave Dictionary of Economics, Third Edition

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ER -

Game Theory

Abstract

Bibliographical note

Keywords

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