Need help with the following:
Consider a sealed bid first price auction with 2 players in which the valuation of each of the players is best described by a uniform distribution on [10, 25].
a. Identify a Nash Equilibrium
b. Show that this strategy profile is indeed a Nash Equilibrium
I'm pretty sure a) is
But I have no clue how to do b.
I know how to do it for [0,b], but for [a,b] I'm struggling