Many auctions involve the sale of a variety of distinct assets. Examples are airport time slots,
delivery routes, network routing, and furniture. Because of complementarities or substitution …

Europe's clean energy transition is imperative to combat climate change and represents an
economic opportunity to become independent of fossil fuels. As such, the energy transition …

This paper proposes a new mechanism for combinatorial assignment—for example,
assigning schedules of courses to students—based on an approximation to competitive …

A theory of “discrete convex analysis” is developed for integer-valued functions defined on
integer lattice points. The theory parallels the ordinary convex analysis, covering discrete …

Auctions often involve the sale of many related goods: Treasury, spectrum, and electricity
auctions are examples. In multi-unit auctions, bids for marginal units may affect payments for …

When bidders exhibit multi-unit demands, standard auction methods generally yield
inefficient outcomes. This article proposes a new ascending-bid auction for homogeneous …

We study economies with indivisibilities that satisfy the gross substitutes (GS) condition. The
simplest example of GS preferences are unit demand preferences. We prove that the set of …

This paper addresses the existence of market clearing prices and the economic
interpretation of strong duality for integer programs in the economic analysis of markets with …

When an auction of multiple items is performed, it is often desirable to allow bids on
combinations of items, as opposed to only on single items. Such an auction is often called" …

This article proposes a new dynamic design for auctioning multiple heterogeneous
commodities. An auctioneer wishes to allocate K types of commodities among n bidders …