Several structural results for the set of competitive equilibria in trading networks with frictions are established: The lattice theorem, the rural hospitals theorem, the existence of side-optimal equilibria, and a group-incentive-compatibility result hold with imperfectly transferable utility...

I suggest that the aggregate implications of indivisible labor are few, and subtle. First, I model behavior in an 'indivisible labor' environment like those of Diamond and Mirrlees (1978, 1986), Hansen (1985), Rogerson (1988), Christiano and Eichenbaum (1992) and show that aggregate behavior in...

We revisit the classical object reallocation problem under strict preferences. When attention is constrained to the set of Pareto-efficient rules, it is known that TTC is the only rule that is strategyproof and individually-rational. We hence relax this constraint and consider pair-efficiency. A...

Assume two players, A and B, must divide a set of indivisible items that each strictly ranks from best to worst. If the number of items is even, assume that the players desire that the allocations be balanced (each player gets half the items), item-wise envy-free (EF), and Pareto-optimal (PO)....

We identify a natural counterpart of the standard GARP for demand data in which goods are all indivisible. We show that the new axiom (DARP, for “discrete axiom of revealed preference”) is necessary and sufficient for the rationalization of the data by a well-behaved utility function. Our...

We study an assignment market where multiple heterogenous objects are sold to unit demand agents who have general preferences accommodating imperfect transferability of utility and income effects. In such a model, there is a minimum price equilibrium. We establish the structural...

The study of matching theory has gained importance recently with applications in Kidney Exchange, House Allocation, School Choice etc. The general theme of these problems is to allocate goods in a fair manner amongst participating agents. The agents generally have a unit supply/demand of a good...

For the classic problem of fair allocation of indivisible goods, we introduce the notion of minimum social inequality allocations and discuss its connection to other fair allocation rules such as minimum envy. We show that a fair allocation problem can always be cast as the problem of finding an...

There are several locations, each of which is endowed with a resource that is specific to that location. Examples include coastal fisheries, oil fields, etc. Each agent will go to a single location and harvest some of the resource there. Several agents may go to each location. We assign...

Some consumption opportunities are both indivisible and only valuable in particular tates of nature. The existence of such state-dependent indivisible consumption opportunities influences a person’s risk attitudes. In general, people are not risk averse anymore even if utility from divisible...

Some consumption opportunities, e.g. medical treatments, are both indivisible and only valuable in particular states of nature. The existence of such state-dependent indivisible consumption opportunities influences a person's risk attitudes. In general, people are not risk averse anymore even if...

An Equivalence Theorem between geometric structures and utility functions allows new methods for understanding preferences. Our classification of valuations into "Demand Types" incorporates existing definitions (substitutes, complements, "strong substitutes", etc.) and permits new ones. Our...

We search for impartiality in the allocation of objects when monetary transfers are not possible. Our main focus is anonymity. The standard definition requires that if agents' names are permuted, their assignments should be permuted in the same way. Since no rule satisfies this definition in...

This paper develops and estimates a model of indivisibilities in shipping and economies of scale in consolidation. It uses highly detailed data on imports for which it is possible to observe the contents of individual containers. In the model, a firm is able to adapt to indivisibility...

This paper develops and estimates a model of indivisibilities in shipping and economies of scale in consolidation. It uses highly detailed data on imports for which it is possible to observe the contents of individual containers. In the model, a firm is able to adapt to indivisibility...

In this paper we consider a model, where at most one object is allocated to each individual, with no two individuals sharing one or more objects, and possibly some allocations being defined infeasible. We propose a weaker sufficient condition than the one suggested by Herreiner and Puppe (2002)...

The purpose of this paper is to prove the existence of an allocation that is fair, when the preferences of all agents are quasi-linear and when no two individuals can share an object. However, we allow for the possibility that not all assignments of object be necessarily feasible. An allocation...

We identify a natural counterpart of the standard GARP for demand data in which goods are all indivisible. We show that the new axiom (DARP, for “discrete axiom of revealed preference”) is necessary and sufficient for the rationalization of the data by a well-behaved utility function. Our...

We study the allocation problem of an indivisible object to one of several agents on the full preference domain when monetary transfers are not allowed. Our main requirement is strategy-proofness. The other properties we seek are Pareto optimality, non-dictatorship, and non-bossiness. We provide...

The purpose of this paper is to explore the problem of non-convex labor supply decision in an economy with both discrete and continuous labor decisions. In contrast to the setup in Vasilev (2016a), here each household faces a sequential labor market choice - an indivisible labor supply choice in...