We study conflicts between envy-based fairness and efficiency for allocating indivisible items under additive utilities. We formalize several small, transparent instances showing that standard envy-freeness (EF) or its relaxations EFX and EFX0-i.e., envy-freeness up to any item, where EFX...

We establish the Subgradient Theorem for monotone correspondences -- a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e. its integral along a closed path vanishes irrespective of the selection from the correspondence along the path. We...

In the allocation of indivisible objects under weak priorities, a common practice is to break the ties using a lottery and randomize over deterministic mechanisms. Such randomizations usually lead to unfairness and inefficiency ex-ante. We propose and study the concept of ex-ante fairness for...

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 top trading cycles (TTC) is the only rule that is strategy-proof and individually rational. We relax this constraint and consider...

We study the allocation of indivisible objects under the general endowment structures proposed by Pápai (2000) – the consistent inheritance structures – which specify the initial endowment of objects and also the inheritance of remaining objects after subsets of agents are matched and...

We examine a bargaining game in which players cannot make arbitrary offers. Instead, players alternately decide whether to accept or delay, and are rewarded with an indivisible portion and a perishable transfer that depends on the round. Our analysis demonstrates that when the initial transfer...

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...

We study the problem of when to sell an indivisible object. There is a monopolistic seller who owns an indivisible object and plans to sell it over a given span of time to the set of potential buyers whose valuations for the object evolve over time. We formulate the seller's problem as a dynamic...

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...

Despite the truthful dominant strategy, participants in strategy-proof me- chanisms submit manipulated preferences. In our model, participants dislike rejections and enjoy the confirmation from getting what they declared most desirable. Formally, the payoff from a match decreases in its position...