We analyze first-price equilibrium bidding behavior of capacityconstrained firms in a sequence of two procurement auctions. In the model, firms with a cost advantage in completing the project auctioned off at the end of the sequence may enter the unfavored first auction hoping to lose it. Equilibrium bidding in both auctions deviates from the standard Symmetric Independent Private Value auction model due to opportunity costs of bidding created by possibly employed capacity. For this sequential auction model with non-identical objects, we show that revenue equivalence applies.Keywords Sequential first-price auctions · Revenue equivalence · Endogenous outside options · Procurement auction · Capacity constraintsWe thank Werner Güth and Ulf Schiller for helpful comments and stimulating discussions. The paper greatly benefited from very helpful comments of the associate editor and two reviewers. We gratefully acknowledge comments from
In this paper we analyze a dynamic agency problem where contracting parties do not know the agent’s future productivity at the beginning of the relationship. We consider a two-period model where both the agent and the principal observe the agent’s second-period productivity at the end of the first period. This observation is assumed to be non-verifiable information. We compare long-term contracts with short-term contracts with respect to their suitability to motivate effort in both periods. On the one hand, short-term contracts allow for a better fine-tuning of second-period incentives as they can be aligned with the agent’s second-period productivity. On the other hand, in short-term contracts first-period effort incentives might be distorted as contracts have to be sequentially optimal. Hence, the difference between long-term and short-term contracts is characterized by a trade-off between inducing effort in the first and in the second period. We analyze the determinants of this trade-off and demonstrate its implications for performance measurement and information system design.
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