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Although game theory was originally developed for use in applied mathematics, in 1944 John von Neumann and Oskar Morgenstern extended the reach of game theory by introducing Theory of Games and Economic Behavior, a classic look at the application of game theory to nonmathematical contexts.

Game theory by definition includes any situation in which there is strategic interaction that is framed by (and specifies) the behavior/decisions that players may display, but does not necessarily delineate the behavior/decisions that players will display, as noted by Martin Osborne and Ariel Rubinstein in 1994. The individuals involved (players) have an understanding that their outcomes are dependent on both their individual expected utilities and interests as well as the outcomes that result from the combination of their behavior and the other player or players' behavior, as noted by R. Duncan Luce and Howard Raiffa in 1957. Players work within a situation in which their interests can either conflict with or coincide with other players' interests. In a typical game theory scenario, there are a variety of outcomes that can result from the unique combination of all players' decisions, such that typically there is a conflict of interest between each individual's immediate self-interest, and the long-range interest in locating the most mutually beneficial set of outcomes.

Game theory is approached by many as a branch of the social sciences, a branch whose goal is to explore the behavior of decision makers who are interacting with one another. The mathematical axioms are valued to a certain extent in terms of their link to human intuition, as noted by Osborne and Rubinstein in 1994.

Conceptual Overview

Strategic Games

Typically a strategic game is one that is played only once, and in which each player assumes that the other players are behaving rationally. Even though the outcomes are a function of both the individual's choice and the other player's choice, players make their decisions independently and simultaneously—the only reference point being a matrix of the players' possible behaviors (decisions) and corresponding payoffs, as noted by Osborne and Rubinstein in 1994. In this case, the immediate payoff is highly salient to each player, since it involves only one trial.

Intertemporal, Repeated-Trial Games

These games are played over repeated trials, and involve a situation in which the player's behavior both has instantaneous consequences on personal payoffs, and can affect the other player's future behavior, as evidenced by the resulting joint payoffs. In this case the long-run, coordinated payoff is highly salient to each player, since it involves not only his or her individual decision on a single trial, but also the combined effects of his or her decision and the other player's decision.

Players

Any person, group, entity, organization, or country (geographic area) that has a single interest driving its decisions can be thought of as a player within a game theory paradigm, as noted by Luce and Raiffa in 1957. Although games are typically described in relation to two players, many are described as n-person games.

Utility

Assuming that utility is an economic measure of desired outcomes, it is expected that individuals and groups are inherently motivated to maximize their utility whenever possible, à la Jacob Marschak in 1950; however, it is also true that in some situations there is a conflict between immediate self-interest and long-run group interest.

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