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An abstract architecture for idealized multi-agent systems whose behaviour is regulated by normative systems is developed and discussed. Agent choices are determined partially by the preference ordering of possible states and partially by…

Logic in Computer Science · Computer Science 2007-05-23 Jan Odelstad , Magnus Boman

When some resources are to be distributed among a set of agents following egalitarian social welfare, the goal is to maximize the utility of the agent whose utility turns out to be minimal. In this context, agents can have an incentive to…

Computer Science and Game Theory · Computer Science 2026-01-15 Jonathan Carrero , Ismael Rodriguez , Fernando Rubio

We propose the use of Agent Based Models (ABMs) inside a reinforcement learning framework in order to better understand the relationship between automated decision making tools, fairness-inspired statistical constraints, and the social…

Computers and Society · Computer Science 2019-03-25 Efrén Cruz Cortés , Debashis Ghosh

Is transparency always beneficial in complex systems such as traffic networks and stock markets? How is transparency defined in multi-agent systems, and what is its optimal degree at which social welfare is highest? We take an agent-based…

Multiagent Systems · Computer Science 2024-01-12 Kshama Dwarakanath , Svitlana Vyetrenko , Toks Oyebode , Tucker Balch

We formulate a theory of agent-based models in which agents compete to be in a winning group. The agents may be part of a network or not, and the winning group may be a minority group or not. The novel feature of the present formalism is…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. S. Lo , H. Y. Chan , P. M. Hui , N. F. Johnson

This paper examines optimal risk sharing for empirically realistic risk attitudes, providing results on Pareto optimality, competitive equilibria, utility frontiers, and the first and second theorems of welfare. Contrary to common…

Theoretical Economics · Economics 2025-10-06 Jean-Gabriel Lauzier , Liyuan Lin , Peter Wakker , Ruodu Wang

We consider the mechanism design problem of a principal allocating a single good to one of several agents without monetary transfers. Each agent desires the good and uses it to create value for the principal. We designate this value as the…

Theoretical Economics · Economics 2024-06-26 Halil İbrahim Bayrak , Çağıl Koçyiğit , Daniel Kuhn , Mustafa Çelebi Pınar

A set of $m$ indivisible goods is to be allocated to a set of $n$ agents. Each agent $i$ has an additive valuation function $v_i$ over goods. The value of a good $g$ for agent $i$ is either $1$ or $s$, where $s$ is a fixed rational number…

Computer Science and Game Theory · Computer Science 2026-02-23 Kurt Mehlhorn

We introduce and study a multi-class online resource allocation problem with group fairness guarantees. The problem involves allocating a fixed amount of resources to a sequence of agents, each belonging to a specific group. The primary…

Computer Science and Game Theory · Computer Science 2025-01-28 Faraz Zargari , Hossein Nekouyan Jazi , Bo Sun , Xiaoqi Tan

We study the problem of allocating $m$ items to $n$ agents subject to maximizing the Nash social welfare (NSW) objective. We write a novel convex programming relaxation for this problem, and we show that a simple randomized rounding…

Data Structures and Algorithms · Computer Science 2016-09-26 Nima Anari , Shayan Oveis Gharan , Amin Saberi , Mohit Singh

We make a detailed analysis of three key algorithms (Serial Dictatorship and the naive and adaptive variants of the Boston algorithm) for the housing allocation problem, under the assumption that agent preferences are chosen iid uniformly…

Theoretical Economics · Economics 2022-06-01 Geoffrey Pritchard , Mark C. Wilson

When allocating indivisible resources or tasks, an envy-free allocation or equitable allocation may not exist. We present a sufficient condition and an algorithm to achieve envy-freeness and equitability when monetary transfers are allowed.…

Computer Science and Game Theory · Computer Science 2020-03-19 Haris Aziz

We consider a setting where one has to organize one or several group activities for a set of agents. Each agent will participate in at most one activity, and her preferences over activities depend on the number of participants in the…

Computer Science and Game Theory · Computer Science 2014-02-03 Andreas Darmann , Edith Elkind , Sascha Kurz , Jérôme Lang , Joachim Schauer , Gerhard Woeginger

We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of…

Computer Science and Game Theory · Computer Science 2023-03-30 Pranay Gorantla , Kunal Marwaha , Santhoshini Velusamy

Mechanism design for a social utility being the sum of agents' utilities (SoU) is a well-studied problem. There are, however, a number of problems of theoretical and practical interest where a designer may have a different objective than…

Computer Science and Game Theory · Computer Science 2015-09-29 Abhinav Sinha , Achilleas Anastasopoulos

We study fair multi-objective reinforcement learning in which an agent must learn a policy that simultaneously achieves high reward on multiple dimensions of a vector-valued reward. Motivated by the fair resource allocation literature, we…

Computer Science and Game Theory · Computer Science 2024-02-09 Zimeng Fan , Nianli Peng , Muhang Tian , Brandon Fain

We initiate the study of multidimensional Bayesian utility maximization, focusing on the unit-demand setting where values are i.i.d. across both items and buyers. The seminal result of Hartline and Roughgarden '08 studies simple,…

Computer Science and Game Theory · Computer Science 2025-02-18 Kira Goldner , Taylor Lundy

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

Computer Science and Game Theory · Computer Science 2019-07-23 Haris Aziz , Simon Rey

We study coverage problems in which, for a set of agents and a given threshold $T$, the goal is to select $T$ subsets (of the agents) that, while satisfying combinatorial constraints, achieve fair and efficient coverage among the agents. In…

Computer Science and Game Theory · Computer Science 2022-07-06 Siddharth Barman , Anand Krishna , Y. Narahari , Soumyarup Sadhukhan

Serial dictatorship is a simple mechanism for coordinating agents in solving combinatorial optimization problems according to their preferences. The most representative such problem is one-sided matching, in which a set of n agents have…

Computer Science and Game Theory · Computer Science 2024-07-08 Ioannis Caragiannis , Kurt Mehlhorn , Nidhi Rathi