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We study social welfare in one-sided matching markets where the goal is to efficiently allocate n items to n agents that each have a complete, private preference list and a unit demand over the items. Our focus is on allocation mechanisms…

Computer Science and Game Theory · Computer Science 2011-04-18 Anand Bhalgat , Deeparnab Chakrabarty , Sanjeev Khanna

Game theory is a very profound study on distributed decision-making behavior and has been extensively developed by many scholars. However, many existing works rely on certain strict assumptions such as knowing the opponent's private…

Computer Science and Game Theory · Computer Science 2020-04-21 Kuo Chun Tsai , Zhu Han

Solving multi-objective optimization problems is important in various applications where users are interested in obtaining optimal policies subject to multiple, yet often conflicting objectives. A typical approach to obtain optimal policies…

Systems and Control · Electrical Eng. & Systems 2019-10-07 Huixin Zhan , Yongcan Cao

Fair clustering has traditionally focused on ensuring equitable group representation or equalizing group-specific clustering costs. However, Dickerson et al. (2025) recently showed that these fairness notions may yield undesirable or…

Machine Learning · Computer Science 2025-08-15 Claire Jie Zhang , Seyed A. Esmaeili , Jamie Morgenstern

Is it possible to understand or imitate a policy maker's rationale by looking at past decisions they made? We formalize this question as the problem of learning social welfare functions belonging to the well-studied family of power mean…

Computer Science and Game Theory · Computer Science 2024-11-01 Kanad Shrikar Pardeshi , Itai Shapira , Ariel D. Procaccia , Aarti Singh

We study the relationship between two central concepts in the allocation of divisible goods: competitive equilibrium (CE) and allocations that maximize Nash welfare, i.e., allocations where the weighted geometric mean of the utilities is…

Computer Science and Game Theory · Computer Science 2026-03-18 Jugal Garg , Yixin Tao , László A. Végh

Multi-Objective Reinforcement Learning (MORL) aims to learn a set of policies that optimize trade-offs between multiple, often conflicting objectives. MORL is computationally more complex than single-objective RL, particularly as the number…

Machine Learning · Computer Science 2026-03-27 Dimitris Michailidis , Willem Röpke , Diederik M. Roijers , Sennay Ghebreab , Fernando P. Santos

We consider the problem of fairly allocating indivisible goods to agents with weights representing their entitlements. A natural rule in this setting is the maximum weighted Nash welfare (MWNW) rule, which selects an allocation maximizing…

Theoretical Economics · Economics 2022-04-26 Warut Suksompong , Nicholas Teh

Research on promoting cooperation among autonomous, self-regarding agents has often focused on the bi-objective optimisation problem: minimising the total incentive cost while maximising the frequency of cooperation. However, the optimal…

We study the problem of allocating a set of indivisible items to agents with supermodular utilities to maximize the Nash social welfare. We show that the problem is NP-hard for any approximation factor.

Computer Science and Game Theory · Computer Science 2025-10-31 Alon Bebchuk

Many real-world multi-agent interactions consider multiple distinct criteria, i.e. the payoffs are multi-objective in nature. However, the same multi-objective payoff vector may lead to different utilities for each participant. Therefore,…

Multiagent Systems · Computer Science 2020-11-17 Roxana Rădulescu , Timothy Verstraeten , Yijie Zhang , Patrick Mannion , Diederik M. Roijers , Ann Nowé

Fairness in multi-agent systems (MAS) focuses on equitable reward distribution among agents in scenarios involving sensitive attributes such as race, gender, or socioeconomic status. This paper introduces fairness in Proximal Policy…

Multiagent Systems · Computer Science 2025-09-03 Gabriele La Malfa , Jie M. Zhang , Michael Luck , Elizabeth Black

While reinforcement learning algorithms provide automated acquisition of optimal policies, practical application of such methods requires a number of design decisions, such as manually designing reward functions that not only define the…

Machine Learning · Computer Science 2022-12-29 Tim G. J. Rudner , Vitchyr H. Pong , Rowan McAllister , Yarin Gal , Sergey Levine

Several fairness concepts have been proposed recently in attempts to approximate envy-freeness in settings with indivisible goods. Among them, the concept of envy-freeness up to any item (EFX) is arguably the closest to envy-freeness.…

Computer Science and Game Theory · Computer Science 2019-02-13 Ioannis Caragiannis , Nick Gravin , Xin Huang

This paper studies policy learning for continuous treatments from observational data. Continuous treatments present more significant challenges than discrete ones because population welfare may need nonparametric estimation, and policy…

Econometrics · Economics 2025-12-02 Chunrong Ai , Yue Fang , Haitian Xie

Many real-world problems require trading off multiple competing objectives. However, these objectives are often in different units and/or scales, which can make it challenging for practitioners to express numerical preferences over…

We study the power of item-pricing as a tool for approximately optimizing social welfare in a combinatorial market. We consider markets with $m$ indivisible items and $n$ buyers. The goal is to set prices to the items so that, when agents…

Computer Science and Game Theory · Computer Science 2015-11-10 Michal Feldman , Nick Gravin , Brendan Lucier

For the fundamental problem of allocating a set of resources among individuals with varied preferences, the quality of an allocation relates to the degree of fairness and the collective welfare achieved. Unfortunately, in many…

Computer Science and Game Theory · Computer Science 2024-08-30 Mikael Møller Høgsgaard , Panagiotis Karras , Wenyue Ma , Nidhi Rathi , Chris Schwiegelshohn

In human society, the conflict between self-interest and collective well-being often obstructs efforts to achieve shared welfare. Related concepts like the Tragedy of the Commons and Social Dilemmas frequently manifest in our daily lives.…

Multiagent Systems · Computer Science 2025-06-17 Yue Jin , Shuangqing Wei , Giovanni Montana

Ensuring long-term fairness is crucial when developing automated decision making systems, specifically in dynamic and sequential environments. By maximizing their reward without consideration of fairness, AI agents can introduce disparities…

Machine Learning · Computer Science 2025-01-03 Sahand Rezaei-Shoshtari , Hanna Yurchyk , Scott Fujimoto , Doina Precup , David Meger
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