Definition:Game/Rules
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Definition
A game is specified completely by its rules.
They prescribe for each player a model of rational choice:
- $(2): \quad$ 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 $C$.
Sources
- 1956: Steven Vajda: The Theory of Games and Linear Programming ... (previous) ... (next): Chapter $\text{I}$: An Outline of the Theory of Games: $2$