Wilson (1987) criticizes the existing literature of game theory as relying too much on common-knowledge assumptions. In reaction to Wilson's critique, the recent literature of mechanism design has started to employ stronger solution concepts such as dominant strategy incentive compatibility, and...

Existence of monotone pure strategy equilibrium is established in the discriminatory and uniform S + a-th price (a in [0, 1]) auctions of S identical objects when bidders are risk-neutral with independent signals. The model requires discrete price / quantity grids and allows for...