| This dissertation studies properties of auctions and markets. In the first paper, I study existence of a monotone pure strategy equilibrium in a game with single crossing conditions and discontinuous payoffs. I show that if a game with single crossing conditions satisfies better reply security then the game possesses a monotone pure strategy equilibrium. Even if the game fails better reply security, there exists a near-by game which possesses a monotone pure strategy equilibrium. In the second paper, I show that a large class of auctions and market games possess a monotone pure strategy equilibrium given independent distribution of signals. In the third paper, I study problems of comparing online auctions and offline auctions using a dataset from Sotheby's. In the fourth paper, I study optimal auction design of heterogeneous objects. |
