We analyze the effect of inflation on the average output of monopolistic firms facing a small fixed cost of changing nominal prices. Using Taylor expansions, we derive a general closed-form solution for the slope of the long-run Phillips curve. This very simple, unifying formula allows us to...

We study security-bid auctions in which bidders compete by bidding with securities whose payments are contingent on the realized value of the asset being sold. Such auctions are commonly used, both formally and informally. In formal auctions, the seller restricts bids to an ordered set, such as...

The combinatorial clock auction is becoming increasingly popular for large-scale spectrum awards and other uses, replacing more traditional ascending or clock auctions. We describe some surprising properties of the auction, including a wide range of ex post equilibria with demand expansion,...