Game theory is the mathematical analysis of situations where one or more persons compete against nature or two or more people compete against each other. The object of the games is to optimize some utility function that can be either a scalar or a vector. Game theory has applications in military strategy and in economic analysis.A Coin Matching Game Two players match pennies, heads or tails. A two-person zero-sum game with mixed strategies following the model of Von Neumann and Morgerstern.The Probability of Winning a Contest Two or more players play against nature and the first one to succeed wins the contest.
The Duel A mathematical formulation of a historic duel between Alexander Hamilton and Aaron Burr in 1804
The Prisoner's Dilemma in Theory and in Practice How do police interrigators get prisoners to talk?
The Lottery Paradox If all conditions otherwise are the same, which is more attractive, a lottery in which a ticket can win only one prize or one in which a ticket can win any or all of the first, second, or third prizes?
The Boxers The probability of a knockout in any particular round computed from data on how many matches have gone to a decision.