In many cases, an employer has private information about the potential productivity of a worker, who in turn has private information about the effort she exerts on the job. Much of the analysis of this environment in the literature restricts the employer to offer contracts that depend only on observable outcomes (e.g., profit). This paper studies the advantages to the employer of offering the worker a set of potential contracts from which the employer will choose after the worker has accepted the offer, so called menu-contracts. Specifically, in a two-state principal-agent problem with moral hazard, I show when the principal can obtain strictly higher expected payoffs than the restricted contracts of the literature by offering a menu-contract.
We compare the first-price sealed-bid (FPSB) auction and the simultaneous multiple-round auction (SMRA) in an environment based on the recent sale of 900 MHz spectrum in Australia. Three bidders compete for five indivisible items. Bidders can win at most three items and need to obtain at least two to achieve profitable scale, i.e. items are complements. Value complementarities, which are a common feature of spectrum auctions, exacerbate the “fitting problem” and undermine the usual logic for superior price discovery in the SMRA. We find that the FPSB outperforms the SMRA across a range of bidding environments: in terms of efficiency, revenue, and protecting bidders from losses due to the exposure problem. Moreover, the FPSB exhibits superior price discovery and almost always results in competitive (“core”) prices unlike the SMRA, which frequently produces prices that are too low because of demand-reduction or too high because of the exposure problem. We demonstrate the robustness of our findings by considering two-stage variants of the FPSB and SMRA as well as environments in which bidders know their own values but not the distributions from which values are drawn.
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