Decision-making Situation o A decision-making situation D consists of et of outcomes o-f ON a a set of possible actions that an agent can take A=fal,.,aKJ a a probabilistic outcome model p: A-A0, which defines a lottery Ta Utility function U: 0+R, where U(O) preference fo the outcome o (o1);…;oN:丌a(ON) a a probability distribution over outcomes given the action a was taken Preference ordering: T1 7 T2 if the agent prefers T1 丌1~丌2 if the agent is indifferent between丌iand丌2 MLA 2011, Tsinghua University Compound lotteryDecision-making Situation A decision-making situation consists of ❑ a set of outcomes ❑ a set of possible actions that an agent can take ❑ a probabilistic outcome model , which defines a lottery ❑ a utility function , where is the agent’s preference for the outcome Lottery ❑ a probability distribution over outcomes given the action a was taken ❑ Preference ordering: 7 MLA 2011, Tsinghua University Compound Lottery