To say that an agent's preferences are transitive is to claim that if the agent prefers x to y and y to z, then the agent prefers x to z, with similar claims concerning indifference and combinations of indifference and preference.
What this means is that it is possible to define a function that represents an agent's preferences so that U X) > U Y) if and only if the agent prefers X to Y, and U X) = U Y) if and only if the agent is indifferent between X and Y.
For instance, the agent prefers x over y: "x > y" or "xPy".
A higher (alpha ) value makes the agent prefers rewards received in later episodes over earlier reward values.
The agent prefers y over x: "y > x" or "yPx"; or, agent is indifferent between both alternatives: "x = y" or "x|y".
Contemporary decision theorists typically interpret utility as a measure of preference, so that to say that $A$ has greater utility than $B$ (for an agent) is simply to say that the agent prefers $A$ to $B$.
This is equivalent to supposing first that rankings are complete — that is, for any two alternatives x and y that the agent may evaluate or choose, either the agent ranks x above y (prefers x to y), or the agent prefers y to x, or the agent is indifferent.
The rest of the agents preferred to start their plans with the PoA labeled, 4, in the urban area.
The influence of PVP with different average molecular weight on the morphology and size of Ag NWs can be ascribed to three factors: (i) PVP as the capping agent prefers to adsorb on the side faces of MTPs [69].
While Burgess ― and the "Mindhunter" character Carr ― preferred to stick to the agreed-upon questionnaire methodology, the FBI agents preferred their own, more casual style. .
