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We study fair division of divisible goods under generalized assignment constraints. Here, each good has an agent-specific value and size, and every agent has a budget constraint that limits the total size of the goods she can receive. Since…

计算机科学与博弈论 · 计算机科学 2026-03-03 Siddharth Barman , Ioannis Caragiannis , Sudarshan Shyam

We study the problem of fairly and truthfully allocating $m$ indivisible items to $n$ agents with additive preferences. Specifically, we consider truthful mechanisms outputting allocations that satisfy EF$^{+u}_{-v}$, where, in an…

计算机科学与博弈论 · 计算机科学 2025-12-08 Xiaolin Bu , Biaoshuai Tao

We consider the problem of fair allocation of indivisible items with subsidies when agents have weighted entitlements. After highlighting several important differences from the unweighted case, we present several results concerning weighted…

计算机科学与博弈论 · 计算机科学 2024-10-18 Haris Aziz , Xin Huang , Kei Kimura , Indrajit Saha , Zhaohong Sun , Mashbat Suzuki , Makoto Yokoo

A combinatorial market consists of a set of indivisible items and a set of agents, where each agent has a valuation function that specifies for each subset of items its value for the given agent. From an optimization point of view, the goal…

计算机科学与博弈论 · 计算机科学 2023-01-05 Kristóf Bérczi , Laura Codazzi , Julian Golak , Alexander Grigoriev

We study the problem of allocating indivisible goods among agents with additive valuations. When randomization is allowed, it is possible to achieve compelling notions of fairness such as envy-freeness, which states that no agent should…

计算机科学与博弈论 · 计算机科学 2020-05-29 Rupert Freeman , Nisarg Shah , Rohit Vaish

Fair division has emerged as a very hot topic in multiagent systems, and envy-freeness is among the most compelling fairness concepts. An allocation of indivisible items to agents is envy-free if no agent prefers the bundle of any other…

计算机科学与博弈论 · 计算机科学 2021-02-26 Ioannis Caragiannis , Stavros Ioannidis

We consider the provision of an abstract service to single-dimensional agents. Our model includes position auctions, single-minded combinatorial auctions, and constrained matching markets. When the agents' values are drawn from a…

计算机科学与博弈论 · 计算机科学 2012-12-18 Nikhil R. Devanur , Jason D. Hartline , Qiqi Yan

In a multi-unit market, a seller brings multiple units of a good and tries to sell them to a set of buyers that have monetary endowments. While a Walrasian equilibrium does not always exist in this model, natural relaxations of the concept…

计算机科学与博弈论 · 计算机科学 2018-09-28 Simina Brânzei , Aris Filos-Ratsikas

In this paper, we present new results on the fair and efficient allocation of indivisible goods to agents whose preferences correspond to {\em matroid rank functions}. This is a versatile valuation class with several desirable properties…

人工智能 · 计算机科学 2021-06-21 Nawal Benabbou , Mithun Chakraborty , Ayumi Igarashi , Yair Zick

We study approximation algorithms for graph pricing with vertex capacities yet without the traditional envy-free constraint. Specifically, we have a set of items $V$ and a set of customers $X$ where each customer $i \in X$ has a budget…

数据结构与算法 · 计算机科学 2019-12-12 Zachary Friggstad , Maryam Mahboub

We consider the problem of allocating indivisible objects to agents when agents have strict preferences over objects. There are inherent trade-offs between competing notions of efficiency, fairness and incentives in assignment mechanisms.…

理论经济学 · 经济学 2020-11-02 Priyanka Shende , Manish Purohit

Envy-freeness is a widely studied notion in resource allocation, capturing some aspects of fairness. The notion of envy being inherently subjective though, it might be the case that an agent envies another agent, but that she objectively…

人工智能 · 计算机科学 2019-11-26 Parham Shams , Aurélie Beynier , Sylvain Bouveret , Nicolas Maudet

We study the problem of allocating indivisible goods among agents in a fair manner. While envy-free allocations of indivisible goods are not guaranteed to exist, envy-freeness can be achieved by additionally providing some subsidy to the…

计算机科学与博弈论 · 计算机科学 2022-01-20 Siddharth Barman , Anand Krishna , Y. Narahari , Soumyarup Sadhukhan

We consider the problem of dividing limited resources to individuals arriving over $T$ rounds. Each round has a random number of individuals arrive, and individuals can be characterized by their type (i.e. preferences over the different…

计算机科学与博弈论 · 计算机科学 2022-10-03 Sean R. Sinclair , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

Incentive compatibility (IC) is one of the most fundamental properties of an auction mechanism, including those used for online advertising. Recent methods by Feng et al. and Lahaie et al. show that counterfactual runs of the auction…

计算机科学与博弈论 · 计算机科学 2019-07-19 Riccardo Colini-Baldeschi , Stefano Leonardi , Okke Schrijvers , Eric Sodomka

We study the fair division of divisible bad resources with strategic agents who can manipulate their private information to get a better allocation. Within certain constraints, we are particularly interested in whether truthful envy-free…

计算机科学与博弈论 · 计算机科学 2023-01-24 Mohammad Azharuddin Sanpui

We study the allocation of indivisible goods among groups of agents using well-known fairness notions such as envy-freeness and proportionality. While these notions cannot always be satisfied, we provide several bounds on the optimal…

计算机科学与博弈论 · 计算机科学 2022-08-24 Pasin Manurangsi , Warut Suksompong

We study the problem of fairly allocating indivisible goods among $n$ strategic agents. It is well-known that truthfulness is incompatible with any meaningful fairness notions. We bypass the strong negative result by considering the concept…

计算机科学与博弈论 · 计算机科学 2024-07-24 Biaoshuai Tao , Mingwei Yang

We study the problem of fairly allocating indivisible goods and chores under category constraints. Specifically, there are $n$ agents and $m$ indivisible items which are partitioned into categories with associated capacities. An allocation…

计算机科学与博弈论 · 计算机科学 2026-04-21 Ayumi Igarashi , Frédéric Meunier

We introduce and analyze new envy-based fairness concepts for agents with weights that quantify their entitlements in the allocation of indivisible items. We propose two variants of weighted envy-freeness up to one item (WEF1): strong,…

人工智能 · 计算机科学 2021-08-18 Mithun Chakraborty , Ayumi Igarashi , Warut Suksompong , Yair Zick