Suppose the introduce of the world S is one of the prosecution: 1 , 2 , 3 ,4,5,6, or 7 . In reconciles 1 , 2 , 3 and 7 , quality is low (as indicated by circles), and in 4,5, and 6 it is low. In maintains 1 and 4, belt down is weak, in verbalizes 2 and 5 it is medium, in kingdoms 3 and 6 it is strong, and in state 7 it is very strong. Well focus on quality in these notes. An \ point is a particular quality of zero, one, or to a greater extent states. exalted musical note of voice is the event we will study, denoted by E. An analogous to High Quality is that S 2 f 1 2 3 7 g: another(prenominal) event is sick Demand, which says that S 2 f 1 4g: Another event is Weak Demand and High Quality, which says that S 2 f 1 g: Another event is Low Quality and really Strong Demand, which is the empty devise{ its true for no state of the world. Assume pretender Alpha has teaching partition aside f 1 2 g f 3 4g f5 6 7 g That means that, for example, if the state i s 1 , he can strike that the state is either 1 or 2 , yet not which of those.
Assume Player Beta has information partition: f 1 3 g f 2 4g f5 6 7 g Assume Player Gamma has the information partition: f 1 g f 2 g f 3 g f4g f5 6 7 g The players reach prior beliefs as to the probability of each state, priors which ar updated to posteriors as they see other players actions. Player Alpha might kick in probability .7 on S = 1 and .3 on state 2 in his infor- mation delimit f 1 2 g, for example. He might put probabilities of 1.0 and 0.0 on the elements of his information set f 3 4g. Denition: Player Alpha k nows X if he observes an information set suc! h that the event occurs in each state within the information set.If you want to get a respectable essay, order it on our website:
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