1) All-Pay Auctions
Reconsider Exercise 8.E.2 of Mas-Collel/Whinston/Green with the following two modifications: 1) Valuations are distributed identically and independently on [0,1]
with the cumulative distribution function F(v) =v2. 2) All bidders must pay the bid they submitted (but only the bidder who made the highest bid wins the object).
[Hint: The hint from 8.E.2a) does not apply here.]
2) Equilibrium Refinements
Consider the following two-player extensive form game:
a) Find all Nash Equilibria of this game.
b) Find all Subgame-Perfect Nash equilibria of this game.
c) Find all Sequential Equilibria of this game.
3) Osborne/Rubinstein 253.1
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