Preference

An Agent’s expression of predilection between two World States. Preference may favour either State, or may reflect indifference. Preference is not intrinsic, and cannot be specified in the absence of an Agent.

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Given an Agent’s Preference system $s_A$, Preference is formulated as $\begin{equation} P(s_A, w_{A,1}, w_{A,2}) = \left\{ \begin{array}{cl} 0 & w_{A,1} \ {\rm and} \ w_{A,2} \ {\rm of \ equal \ value}\\ 1 & w_{A,1} \ {\rm of \ greater \ value}\\ -1 & w_{A,2} \ {\rm of \ greater \ value} \end{array} \right. \end{equation}$