Asymmetric First-Price Menu Auctions under Intricate Uncertainty

This paper studies asymmetric first-price menu auctions in the procurement environment where the buyer does not commit to a decision rule and asymmetric sellers have interdependent costs and statistically affiliated signals. Sellers compete in bidding a menu of contracts, where a contract specifies a vector of characteristics and a payment required from the buyer for delivering these characteristics. The buyer does not commit ex-ante to a decision rule but rather upon observing all the menus offered by sellers chooses the best contract. This paper establishes the existence of a continuum of separating monotone equilibria in this game bounded above by the jointly ex-post efficient outcome and below by the jointly interim efficient outcome. It shows that the jointly ex-post efficient equilibrium outcome is the only ex-post renegotiation proof outcome and it is also ex-ante robust to all continuation equilibriafirst-price menu auction, interdependent values, monotone equilibria, joint ex-post renegotiation-proofness, ex-ante robustness

CORRUPTION IN PUBLIC PROCUREMENT AUCTIONS: POSITIVE EQUILIBRIUM ANALYSIS, INCENTIVE MECHANISM DESIGN, AND EMPIRICAL STUDY

We study how poor quality of institution, such as corruption in public procurement auction, could hurt welfare. We show how competition effect could improve the cost-efficiency but not the quality of a public procurement auction with corruption. In fact, no incentive mechanism can be efficient in this auction if qualities are non-contractible. An empirical study suggests that increasing the number of bidders does increase the percentage cost efficiency albeit at a decreasing rate and decreases the percentage cost efficiency after it reaches a certain number of bidders.Auctions, Procurement, Corruption

Equilibrium in Scoring Auctions

This paper studies multi-attribute auctions in which a buyer seeks to procure a complex good and evaluate offers using a quasi-linear scoring rule. Suppliers have private information about their costs, which is summarized by a multi-dimensional type. The scoring rule reduces the multidimensional bids submitted by each supplier to a single dimension, the score, which is used for deciding on the allocation and the resulting contractual obligation. We exploit this idea and obtain two kinds of results. First, we characterize the set of equilibria in quasi-linear scoring auctions with multi-dimensional types. In particular, we show that there exists a mapping between the class of equilibria in these scoring auctions and those in standard single object IPV auctions. Second, we prove a new expected utility equivalence theorem for quasi-linear scoring auctions.Auctions, Procurement

Which instruments to preserve forest biodiversity?

In general, neither the social norms nor market dynamics stimulate spontaneously activities and practices conducive to biodiversity. The nature of public good of biodiversity leads to its rapid erosion. Even if it can respond positively to social expectations and improve welfare in the long term2, taking into account biodiversity often leads to changes in the way we produce or how to exercise its property right. The consideration of biodiversity may determine production losses and income decreases.[...]

Non-Committed Procurement under Intricate Uncertainty

This paper studies asymmetric first-price menu auctions in the procurement environment where the buyer does not commit to a decision rule and asymmetric sellers have interdependent costs and statistically affiliated signals. Sellers compete in bidding a menu of contracts, where a contract specifies a vector of characteristics and a payment required from the buyer for delivering these characteristics. The buyer does not commit ex-ante to a decision rule but rather upon observing all the menus offered by sellers chooses the best contract. This paper establishes the existence of a continuum of separating monotone equilibria in this game bounded above by the jointly ex-post efficient outcome and below by the jointly interim efficient outcome. It shows that the jointly ex-post efficient equilibrium outcome is the only ex-post renegotiation proof outcome and it is also ex-ante robust to all continuation equilibria.first-price menu auctions; procurement; interdependent values; monotone equilibria; joint ex-post efficiency; ex-post renegotiation-proofness; ex-ante robustness

Allocative and Informational Externalities in Auctions and Related Mechanisms

We study the effects of allocative and informational externalities in (multi-object) auctions and related mechanisms. Such externalities naturally arise in models that embed auctions in larger economic contexts. In particular, they appear when there is downstream interaction among bidders after the auction has closed. The endogeneity of valuations is the main driving force behind many new, specific phenomena with allocative externalities: even in complete information settings, traditional auction formats need not be efficient, and they may give rise to multiple equilibria and strategic non-participation. But, in the absence of informational externalities, welfare maximization can be achieved by Vickrey-Clarke- Groves mechanisms. Welfare-maximizing Bayes-Nash implementation is, however, impossible in multi-object settings with informational externalities, unless the allocation problem is separable across objects (e.g. there are no allocative externalities nor complementarities) or signals are one-dimensional. Moreover, implementation of any choice function via ex-post equilibrium is generically impossible with informational externalities and multidimensional types. A theory of information constraints with multidimensional signals is rather complex, but indispensable for our study

Optimal Auction Design with Risk Aversion and Correlated Information

In this paper, we develop a general auction model in which buyers and seller are risk averse and private information is multidimensional and correlated, and in this setting we examine the problem of optimal auction design. In particular, we consider the problem faced by someone who has an object to sell but who does not know how much prospective buyers might be willing to pay, and allowing for risk aversion and correlated information on the part of buyers, we demonstrate the existence of an auction procedure that yields the risk averse seller the highest expected utility among all the auction procedures that are rational and Bayesian incentive compatible.