game theory
introduction
functions
history
applications
find the optimal outcome from a set of choices by analyzing the costs and benefits to each independent party as they compete with each other
explores the possible outcomes of a situation in which two or more competing parties look for the course of action that best benefits them
No variables are left to chance, so each possible outcome is derived from the combinations of simultaneous actions by each party
1913
Ernst Zermelo published (On an Application of Set Theory to the Theory of the Game of Chess)
1938
Frederik Zeuthen proved that the mathematical model had a winning strategy by using Brouwer's fixed point theorem
1928
John von Neumann published a paper
1944
Theory of Games and Economic Behavior was followed
1965
Reinhard Selten introduced his solution concept of subgame perfect equilibria
1970
game theory was extensively applied in biology
2005
Thomas Schelling and Robert Aumann followed Nash, Selten and Harsanyi as Nobel Laureates
2007
Leonid Hurwicz, Eric Maskin and Roger Myerson were awarded the Nobel Prize in Economics
2012
Alvin E. Roth and Lloyd S. Shapley were awarded the Nobel Prize in Economics
game types
Symmetric / Asymmetric Games
Cooperative / Non-cooperative
Normal Form and Extensive Form Games
Simultaneous Move Games and Sequential Move Games
Constant Sum, Zero Sum, and Non-Zero Sum Games
Description and modeling
Prescriptive or normative analysis
Economics and business
Political science
Biology
Artificial Intelligence
list of theories
Prisoner's dilemma
Nash equilibrium
zero sum equilibrium
process of modeling the strategic interaction between two or more players in a situation containing set rules and outcomes
key elements in game
players
strategies
timing of decisions
payoffs
information