Definition:Model of Rational Choice

Definition

A model of rational choice for a player in a game consists of:

$(1): \quad$ A set $A$ of moves from which the player may choose

$(2): \quad$ A set $C$ of consequences of each of those moves

$(3): \quad$ A consequence function $g: A \to C$ which maps a consequence to each action

$(4): \quad$ A preference relation $\succsim$, which is a total ordering on $C$.

Also see

The model of rational choice for each player can be referred to collectively as the rules of the game.

Sources

• 1956: Steven Vajda: The Theory of Games and Linear Programming ... (previous) ... (next): Chapter $\text{I}$: An Outline of the Theory of Games: $2$
• 1957: R. Duncan Luce and Howard Raiffa: Games and Decisions ... (previous) ... (next): Chapter $1$: General Introduction to the Theory of Games: $1.3$ An Informal Characterization of a Game
• 1994: Martin J. Osborne and Ariel Rubinstein: A Course in Game Theory ... (previous) ... (next): Chapter $1$ Introduction: $1.4$: Rational Behavior