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:

$(1): \quad$ 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 $C$.


Sources