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We study fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

Theoretical Economics · Economics 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

In multi-agent reinforcement learning systems, the actions of one agent can have a negative impact on the rewards of other agents. One way to combat this problem is to let agents trade their rewards amongst each other. Motivated by this,…

Artificial Intelligence · Computer Science 2022-07-25 Michael Kölle , Lennart Rietdorf , Kyrill Schmid

In a combinatorial exchange setting, players place sell (resp. buy) bids on combinations of traded goods. Besides the question of finding an optimal selection of winning bids, the question of how to share the obtained profit is of high…

Computer Science and Game Theory · Computer Science 2021-06-30 T. Heller , S. O. Krumke

A kidney exchange program, also called a kidney paired donation program, can be viewed as a repeated, dynamic trading and allocation mechanism. This suggests that a dynamic algorithm for transplant exchange selection may have superior…

Optimization and Control · Mathematics 2023-09-26 Margarida Carvalho , Alison Caulfield , Yi Lin , Adrian Vetta

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items…

Computer Science and Game Theory · Computer Science 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

Most of the existing algorithms for fair division do not consider externalities. Under externalities, the utility an agent obtains depends not only on its allocation but also on the allocation of other agents. An agent has a positive…

Computer Science and Game Theory · Computer Science 2022-02-28 Shaily Mishra , Manisha Padala , Sujit Gujar

AI agents are commonly trained with large datasets of demonstrations of human behavior. However, not all behaviors are equally safe or desirable. Desired characteristics for an AI agent can be expressed by assigning desirability scores,…

Machine Learning · Computer Science 2024-05-08 Tim Franzmeyer , Edith Elkind , Philip Torr , Jakob Foerster , Joao Henriques

The sharing of scarce resources among multiple rational agents is one of the classical problems in economics. In exchange economies, which are used to model such situations, agents begin with an initial endowment of resources and exchange…

Machine Learning · Computer Science 2022-02-23 Wenshuo Guo , Kirthevasan Kandasamy , Joseph E Gonzalez , Michael I. Jordan , Ion Stoica

We consider a well-studied online random graph model for kidney exchange, where nodes representing patient-donor pairs arrive over time, and the probability of a directed edge is p. We assume existence of a single altruistic donor, who…

Computer Science and Game Theory · Computer Science 2020-10-06 Avrim Blum , Yishay Mansour

We consider the problem of fair allocation of indivisible items to agents that have arbitrary entitlements to the items. Every agent $i$ has a valuation function $v_i$ and an entitlement $b_i$, where entitlements sum up to~1. Which…

Computer Science and Game Theory · Computer Science 2024-05-24 Moshe Babaioff , Uriel Feige

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 problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

Computer Science and Game Theory · Computer Science 2024-08-05 Ankang Sun , Bo Chen

We consider multi-item exchange markets in which agents want to receive one of their target bundles of resources. The model encompasses well-studied markets for kidney exchange, lung exchange, and multi-organ exchange. We identify a general…

Computer Science and Game Theory · Computer Science 2020-07-10 Haris Aziz

We investigate mechanism design without payments when agents have different types of preferences. Contrary to most settings in the literature where agents have the same preference, e.g. in the facility location games all agents would like…

Computer Science and Game Theory · Computer Science 2016-09-16 Qiang Zhang

In multiagent systems autonomous agents interact with each other to achieve individual and collective goals. Typical interactions concern negotiation and agreement on resource exchanges. Modeling and formalizing these agreements pose…

Logic in Computer Science · Computer Science 2024-08-20 Lorenzo Ceragioli , Pierpaolo Degano , Letterio Galletta , Luca Viganò

A multiagent system may be thought of as an artificial society of autonomous software agents and we can apply concepts borrowed from welfare economics and social choice theory to assess the social welfare of such an agent society. In this…

Multiagent Systems · Computer Science 2011-09-30 U. Endriss , N. Maudet , F. Sadri , F. Toni

The problem of fair division of indivisible goods is a fundamental problem of social choice. Recently, the problem was extended to the case when goods form a graph and the goal is to allocate goods to agents so that each agent's bundle…

Social and Information Networks · Computer Science 2019-05-13 Zbigniew Lonc , Miroslaw Truszczynski

We introduce and analyze a variation of the Bertrand game in which the revenue is shared between two players. This game models situations in which one economic agent can provide goods/services to consumers either directly or through an…

We propose a distributed algorithm to solve a dynamic programming problem with multiple agents, where each agent has only partial knowledge of the state transition probabilities and costs. We provide consensus proofs for the presented…

Optimization and Control · Mathematics 2023-06-19 Nikolaus Vertovec , Kostas Margellos

Recommender systems play an increasingly crucial role in shaping people's opportunities, particularly in online dating platforms. It is essential from the user's perspective to increase the probability of matching with a suitable partner…

Information Retrieval · Computer Science 2024-09-04 Yoji Tomita , Tomohiki Yokoyama