Most rational expectations market equilibrium models are not models of price formation, and naive mechanisms leading to such equilibria can be severely manipulable. In this paper, a bidding model is developed which has the market-like features that bidders act as price takers and that prices convey information. Higher equilibrium prices convey more favorable information about the quality of the objects being sold than do lower prices. Bidders can benefit from trading only if they have a transactions motive or if they have access to inside information. Apart from exceptional cases, prices are not fully revealing. A two stage model is developed in which bidders may acquire information at a cost before bidding and for which the equilibrium price is fully revealing, resolving a well-known paradox.

[This paper investigates the behavior of the winning bid in a sealed bid tender auction where each bidder has private information. With an appropriate concept of value, the winning bid will converge in probability to the value of the object auction (as the number of bidders grow large) if and only if a certain information condition is satisfied. In particular, it is not necessary for any bidder to know the value at the time the bids are submitted. These results bear on the relationship between price and value and on the aggregation of private information by the auction mechanism.]

IN THIS PAPER we investigate the properties of the winning bid in a sealed bid tender auction where each player has private information. We find that it is possible for the winning bid to converge in probability to the true value of the object at auction, even though no bidder knows the true value. Necessary and sufficient conditions for this phenomenon are derived, extending and generalizing certain of Wilson's results [3]. We study an auction in which a seller offers to sell at the highest bid an item of unknown value V. The kth bidder receives a private signal Sk (for k = 1, 2,.. .) and submits a bid without knowledge of the other signals. A finitely additive probability measure P reflects the bidders' unanimous beliefs about V and the signals. Conditional on V, the signals are independent and identically distributed. The signals take their values in some space &'. With n bidders, a bidding strategy for k is a function Pnk: 9' -> R. k's strategy specifies that upon receiving the signal Sk, he shall bid Pnk(Sk).2 Thus the winning

I review the uses of economic theory in the initial design and later improvement of the ‘‘simultaneous ascending auction,’ ’ which was developed initially for the sale of radio spectrum licenses in the United States. I analyze some capabilities and limitations of the auction, the roles of various detailed rules, the possibilities for introducing combinatorial bidding, and some considerations in adapting the auction for sales in which revenue, rather than efficiency, is the primary goal. I.

Consider a family of maximization models in which the optimum trades off beneficial and costly effects. Then comparative statics derived under many kinds of simplifying assumptions about the benefits technology are also true for general (convex and nonconvex) technologies. For example, any comparative statics conclusion about investment by a risk-averse decision maker under uncertainty that holds when expected returns are described by a general linear function also holds for an arbitrary nonlinear expected return function.

The Invisibility Hypothesis holds that the job skills of disadvantaged workers are not easily discovered by potential new employers, but that promotion enhances visibility and alleviates this problem. Then, at a competitive labor market equilibrium, firms profit by hiding talented disadvantaged workers in low-level jobs. Consequently, those workers are paid less on average and promoted less often than others with the same education and ability. As a result of the inefficient and discriminatory wage and promotion policies, disadvantaged workers experience lower returns to investments in human capital than other workers.

We consider the problem of providing incentives over time for an agent with constant absolute risk aversion. The optimal compensation scheme is found to be a linear function of a vector of N accounts which count the number of times that each of the N kinds of observable events occurs. The number N is independent of the number of time periods, so the accounts may entail substantial aggregation. In a continuous time version of the problem, the agent controls the drift rate of a vector of accounts that is subject to frequent, small random fluctuations. The solution is as if the problem were the static one in which the agent controls only the mean of a multivariate normal distribution and the principal is constrained to use a linear compensation rule. If the principal can observe only coarser linear aggregates, such as revenues, costs, or profits, the optimal compensation scheme is then a linear function of those aggregates. The combination of exponential utility, normal distributions, and linear compensation schemes makes computations and comparative statics easy to do, as we illustrate. We interpret our linearity results as deriving in part from the richness of the agent's strategy space, which makes it possible for the agent to undermine and exploit complicated, nonlinear functions of the accounting aggregates.

Efficient employment contracts usually fail to compensate workers for the effects of posthir ing events and decisions when changing jobs is costly. Then, when the re are executives and managers with authority to make discretionary decisions, affected employees will be led to waste valuable time tryi ng to influence their decisions. Efficient organization design coun-t ers this tendency by limiting the discretion of decision makers, espe cially for those decisions that have large distributional consequence s but that are otherwise of little consequence to the organization.