This paper studies collusion between two bidders in a general symmetric IPV repeated auction, without communication, transfers, or public randomization. I construct a collusive scheme, called endogenous bid-rotation, which gives a payoff larger than the bid-rotation payoff, when valuations are...

In a set-target game, two players choose elements in some set X, and payoffs depend on whether the value of some function of these choices lies in a target set T. Typically, a set-target game has a continuum of Nash equilibria. Replacing the deterministic set T by a stochastic one and then...

An IPV 2-bidder second-price auction is preceded by two rounds of bribing: prior to the auction each bidder can try to bribe his rival to depart from the auction, so that he (the briber) will become the sole participant and obtain the good for the reserve price. Bribes are offered sequentially...