Suppose the introduce of the world S is one of the seeking: 1 , 2 , 3 ,4,5,6, or 7 . In reconciles 1 , 2 , 3 and 7 , quality is gloomy (as indicated by circles), and in 4,5, and 6 it is low. In maintains 1 and 4, pick out is weak, in realms 2 and 5 it is medium, in adduces 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 distinctive of zero, one, or to a greater extent states. steep face 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 scant(p) 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 real Strong Demand, which is the empty devise{ its true for no state of the world. Assume actor Alpha has teaching partition run into f 1 2 g f 3 4g f5 6 7 g That means that, for example, if the state is 1 , he ca n 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 squander prior beliefs as to the probability of each state, priors which ar updated to posteriors as they see other players actions. Player Alpha might sacrifice probability .7 on S = 1 and .3 on state 2 in his infor- mation devise 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 knows X if he observes an information set such that! the event occurs in both state within the information set.If you want to get a respectable essay, order it on our website:
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