If a Pooling Equilibrium Is Played in a Signaling Game

question 23

True/False

If a pooling equilibrium is played in a signaling game, beliefs about the sender type can take on any form along the branch of the game tree that is not played in equilibrium, but on the branch that is played, beliefs are identical to the probability distribution with which "nature" assigned types to the sender.

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Definitions:

Permutation

In an experiment we may be interested in determining the number of ways n objects may be selected from among N objects when the order in which the n objects are selected is important. Each ordering of n objects is called a permutation and the total number of permutations of N objects taken n at a time is PNn = n! / (N - n)! for n = 0, 1, 2, . . . , N.

Union

In mathematics, specifically in set theory, the union of a collection of sets is the set of all distinct elements that are in any of those sets.

Intersection

A mathematical term describing the point or set of points where two lines, curves, shapes, or surfaces meet.

Event

A collection of sample points.