This paper describes a contract theory of public finance of college education that explains why everyone pays for the college education of a lucky minority. The contract provides gambles that families desire. Optimizing the contract determines the taxes paid by all members of society, fees paid by those whose children go to college, the fraction of children who are admitted to college, and the quality of college education. Changes in wealth lead to changes in taxes and admissions, but fees and quality are invariant. The practice of using a cutoff level of precollege achievement to determine admission to college is justified by the theory.

In standard auctions resale creates a role for a speculator—a bidder who is commonly known to have no use value for the good on sale. We study this issue in environments with symmetric independent private-value bidders. For second-price and English auctions the efficient value-bidding equilibrium coexists with a continuum of inefficient equilibria in which the speculator wins the auction and makes positive profits. First-price and Dutch auctions have an essentially unique equilibrium, and whether or not the speculator wins the auction and distorts the final allocation depends on the number of bidders, the value distribution, and the discount factor. Speculators do not make profits in first-price or Dutch auctions.

This paper describes a contract theory of public finance of college education that explains why everyone pays for the college education of a lucky minority. The contract provides gambles that families desire. Optimizing the contract determines the taxes paid by all members of society, fees paid by those whose children go to college, the fraction of children who are admitted to college, and the quality of college education. Changes in wealth lead to changes in taxes and admissions, but fees and quality are invariant. The practice of using a cutoff level of precollege achievement to determine admission to college is justified by the theory.