The work has not been graded but I like the output that was submitted to me. Is it possible for the same prof to do the next assignment I will be submitting? If possible, I will greatly appreciate it.
where the row player is player 1.
We will use the following notation: σ1 (t) is the probability that player 1
plays up if she is of type t; σ2 is the probability that player 2 plays left.
We want to know whether and when it is possible that in a Bayes Nash equilibrium player 1 mixes between up and down whenever she is of type t = 0, i.e. σ1 (0) ∈ (0, 1). We therefore proceed to construct such an equilibrium and
then verify for which values of π this equilibrium exists.
At the end of the exercise, you should complete the following “Proposition”
Proposition 1. If π……………, then there exists a Bayes Nash equilibrium in which player 1 mixes between up and down whenever she is of type t = 0, i.e. σ1 (0) ∈ (0,1). In this equilibrium σ1 (0) = …………; σ1 (1) = ………; and σ2 = ……….
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