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We study the fair division problem of allocating multiple resources among a set of agents with Leontief preferences that are each required to complete a finite amount of work, which we term "limited demands". We examine the behavior of the…

Computer Science and Game Theory · Computer Science 2021-03-02 Sushirdeep Narayana , Ian A. Kash

Selling reserved instances (or virtual machines) is a basic service in cloud computing. In this paper, we consider a more flexible pricing model for instance reservation, in which a customer can propose the time length and number of…

Computer Science and Game Theory · Computer Science 2016-11-23 Jia Zhang , Weidong Ma , Tao Qin , Xiaoming Sun , Tie-Yan Liu

Many auction settings implicitly or explicitly require that bidders are treated equally ex-ante. This may be because discrimination is philosophically or legally impermissible, or because it is practically difficult to implement or…

Computer Science and Game Theory · Computer Science 2014-11-06 Christos Tzamos , Christopher A. Wilkens

This paper studies the (group) strategy-proofness aspect of two-sided matching markets under stability. For a one-to-one matching market, we show an equivalence between individual and group strategy-proofness under stability. We obtain this…

Theoretical Economics · Economics 2023-10-10 Pinaki Mandal

We investigate the problem of random assignment of indivisible goods, in which each agent has an ordinal preference and a constraint. Our goal is to characterize the conditions under which there always exists a random assignment that…

Computer Science and Game Theory · Computer Science 2024-12-30 Yasushi Kawase , Hanna Sumita , Yu Yokoi

The framework of cyclic proof systems provides a reasonable proof system for logics with inductive definitions. It also offers an effective automated proof search procedure for such logics without finding induction hypotheses. Recent…

Logic in Computer Science · Computer Science 2025-03-06 Yukihiro Oda , Daisuke Kimura

It is often beneficial for agents to pool their resources in order to better accommodate fluctuations in individual demand. Many multi-round resource allocation mechanisms operate in an online manner: in each round, the agents specify their…

Computer Science and Game Theory · Computer Science 2022-08-02 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

Social choice becomes easier on restricted preference domains such as single-peaked, single-crossing, and Euclidean preferences. Many impossibility theorems disappear, the structure makes it easier to reason about preferences, and…

Computer Science and Game Theory · Computer Science 2025-03-25 Edith Elkind , Martin Lackner , Dominik Peters

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is the following: at each stage, a designated agent picks one object among those that…

Computer Science and Game Theory · Computer Science 2016-04-07 Sylvain Bouveret , Michel Lemaître

We study robustly optimal mechanisms for selling multiple items. The seller maximizes revenue against a worst-case distribution of a buyer's valuations within a set of distributions, called an "ambiguity" set. We identify the exact forms of…

Theoretical Economics · Economics 2024-08-26 Yeon-Koo Che , Weijie Zhong

We study the set of incentive compatible and efficient two-sided matching mechanisms. We classify all such mechanisms under an additional assumption -- "gender-neutrality" -- which guarantees that the two sides be treated symmetrically. All…

Theoretical Economics · Economics 2023-01-31 Sophie Bade , Joseph Root

When applying methods of optimal control to motion planning or stabilization problems, some theoretical or numerical difficulties may arise, due to the presence of specific trajectories, namely, singular minimizing trajectories of the…

Optimization and Control · Mathematics 2016-08-16 Yacine Chitour , Frédéric Jean , Emmanuel Trélat

We show that the mechanism-design problem for a monopolist selling multiple, heterogeneous objects to a buyer with ex ante symmetric and additive values is equivalent to the mechanism-design problem for a monopolist selling identical…

Theoretical Economics · Economics 2024-08-20 Sushil Bikhchandani , Debasis Mishra

Recurrence is a fundamental characteristic of dynamical systems with complicated behavior. Understanding the inner structure of recurrence is challenging, especially if the system has many degrees of freedom and is subject to noise. We…

Dynamical Systems · Mathematics 2024-12-16 Ulrich Bauer , David Hien , Oliver Junge , Konstantin Mischaikow

We formalize an allocation model under ordinal preferences that is more general than the well-studied Shapley-Scarf housing market. In our model, the agents do not just care which house or resource they get but also care about who gets…

Computer Science and Game Theory · Computer Science 2018-07-17 Haris Aziz , Edward Lee

We investigate whether preferences for objects received via a matching mechanism are influenced by how highly agents rank them in their reported rank order list. We hypothesize that all else equal, agents receive greater utility for the…

General Economics · Economics 2024-08-30 Andrew Kloosterman , Peter Troyan

Lower bounds and impossibility results in distributed computing are both intellectually challenging and practically important. Hundreds if not thousands of proofs appear in the literature, but surprisingly, the vast majority of them apply…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Guy Goren , Yoram Moses , Alexander Spiegelman

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

Computer Science and Game Theory · Computer Science 2020-01-01 Erel Segal-Halevi , Warut Suksompong

In the problem of fully allocating a social endowment of perfectly divisible commodities among a group of agents with multidimensional single-peaked preferences, we study strategy-proof rules that are not Pareto-dominated by other…

Theoretical Economics · Economics 2025-02-26 Agustin G. Bonifacio

A condition, in two variants, is given such that if a property P satisfies this condition, then every logic which is at least as strong as first-order logic and can express P fails to have the compactness property. The result is used to…

Logic · Mathematics 2013-04-15 Vera Koponen
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