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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.…

Computer Science and Game Theory · Computer Science 2020-02-10 Shyam Chandramouli , Jay Sethuraman

We explore the core concept in a generalization of the housing market model where agents own fractional endowments while maintaining ordinal preferences. Recognizing that individuals are easier than coalitions to block an allocation, we…

Theoretical Economics · Economics 2025-08-18 Jingsheng Yu , Jun Zhang

The housing market, also known as one-sided matching market, is a classic exchange economy model where each agent on the demand side initially owns an indivisible good (a house) and has a personal preference over all goods. The goal is to…

Computer Science and Game Theory · Computer Science 2026-01-08 Shiyun Lin

New fairness notions aligned with the merit principle are proposed for designing exchange rules. We show that for an obviously strategy-proof, efficient and individually rational rule, (i) an agent receives her favorite object when others…

Theoretical Economics · Economics 2025-10-29 Peng Liu , Huaxia Zeng

In barter exchanges, participants directly trade their endowed goods in a constrained economic setting without money. Transactions in barter exchanges are often facilitated via a central clearinghouse that must match participants even in…

Artificial Intelligence · Computer Science 2018-11-09 Duncan C McElfresh , Hoda Bidkhori , John P Dickerson

In barter exchanges agents enter seeking to swap their items for other items on their wishlist. We consider a centralized barter exchange with a set of agents and items where each item has a positive value. The goal is to compute a…

Data Structures and Algorithms · Computer Science 2024-06-21 Juan Luque , Sharmila Duppala , John Dickerson , Aravind Srinivasan

This paper focuses on the problem of fairly and efficiently allocating resources to agents. We consider a specific setting, usually referred to as a housing market, where each agent must receive exactly one resource (and initially owns…

Artificial Intelligence · Computer Science 2021-04-20 Aurélie Beynier , Nicolas Maudet , Simon Rey , Parham Shams

We study the computational complexity of fair division of indivisible items in an enriched model: there is an underlying graph on the set of items. And we have to allocate the items (i.e., the vertices of the graph) to a set of agents in…

Computer Science and Game Theory · Computer Science 2023-05-12 Jayakrishnan Madathil

Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. While finding an arbitrary Pareto optimal allocation is generally easy, checking whether a particular allocation is Pareto…

Computer Science and Game Theory · Computer Science 2018-05-18 Haris Aziz , Peter Biro , Jerome Lang , Julien Lesca , Jerome Monnot

Goods and services -- public housing, medical appointments, schools -- are often allocated to individuals who rank them similarly but differ in their preference intensities. We characterize optimal allocation rules when individual…

Theoretical Economics · Economics 2021-08-30 Pietro Ortoleva , Evgenii Safonov , Leeat Yariv

In allocation problems, a given set of goods are assigned to agents in such a way that the social welfare is maximised, that is, the largest possible global worth is achieved. When goods are indivisible, it is possible to use money…

Computer Science and Game Theory · Computer Science 2017-09-14 Francesco Lupia , Angelo Mendicelli , Andrea Ribichini , Francesco Scarcello , Marco Schaerf

Recent regulation on intraday electricity markets has led to the development of shared order books with the intention to foster competition and increase market liquidity. In this paper, we address the question of the efficiency of such…

Trading and Market Microstructure · Quantitative Finance 2025-09-15 René Aïd , Philippe Bergault , Mathieu Rosenbaum

Balancing fairness and efficiency in resource allocation is a classical economic and computational problem. The price of fairness measures the worst-case loss of economic efficiency when using an inefficient but fair allocation rule; for…

Computer Science and Game Theory · Computer Science 2017-09-11 Duncan C. McElfresh , John P. Dickerson

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 the welfare consequences of merging Shapley--Scarf markets. Market integration can lead to large welfare losses and make the vast majority of agents worse-off, but is on average welfare-enhancing and makes all agents better off…

Theoretical Economics · Economics 2022-01-10 Rajnish Kunar , Kriti Manocha , Josue Ortega

House Allocations concern with matchings involving one-sided preferences, where houses serve as a proxy encoding valuable indivisible resources (e.g. organs, course seats, subsidized public housing units) to be allocated among the agents.…

Computer Science and Game Theory · Computer Science 2025-11-11 Hadi Hosseini , Sanjukta Roy , Aditi Sethia

The core is a dominant solution concept in economics and cooperative game theory; it is predominantly used for profit, equivalently cost or utility, sharing. This paper demonstrates the versatility of this notion by proposing a completely…

Theoretical Economics · Economics 2023-09-07 Vijay V. Vazirani

Residential segregation is a wide-spread phenomenon that can be observed in almost every major city. In these urban areas residents with different racial or socioeconomic background tend to form homogeneous clusters. Schelling's famous…

Computer Science and Game Theory · Computer Science 2020-05-07 Davide Bilò , Vittorio Bilò , Pascal Lenzner , Louise Molitor

Horizontal agreements can fall within the scope of exemptions to antitrust competition if they are expected to create pro-consumer benefits. Inspired by such horizontal agreements, we introduce a cooperative game in which a set of transport…

Optimization and Control · Mathematics 2021-09-09 Loe Schlicher , Virginie Lurkin

Motivated by the real-world problem of international kidney exchange (IKEP), recent literature introduced a generalized transferable utility matching game featuring a partition of the vertex set of a graph into players, and analyzed its…

Computer Science and Game Theory · Computer Science 2026-02-24 Gergely Csáji , Tamás Király , Zsuzsa Mészáros-Karkus