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We study fair allocation of resources consisting of both divisible and indivisible goods to agents with additive valuations. When only divisible or indivisible goods exist, it is known that an allocation that achieves the maximum Nash…

计算机科学与博弈论 · 计算机科学 2025-09-03 Koichi Nishimura , Hanna Sumita

A set of divisible resources becomes available over a sequence of rounds and needs to be allocated immediately and irrevocably. Our goal is to distribute these resources to maximize fairness and efficiency. Achieving any non-trivial…

计算机科学与博弈论 · 计算机科学 2020-09-29 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan

We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

计算机科学与博弈论 · 计算机科学 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

Equitability is a well-studied fairness notion in fair division, where an allocation is equitable if all agents receive equal utility from their allocation. For indivisible items, an exactly equitable allocation may not exist, and a natural…

计算机科学与博弈论 · 计算机科学 2025-05-12 Umang Bhaskar , Vishwa Prakash HV , Aditi Sethia , Rakshitha

We consider the problem of allocating indivisible goods fairly among n agents who have additive and submodular valuations for the goods. Our fairness guarantees are in terms of the maximin share, that is defined to be the maximum value that…

计算机科学与博弈论 · 计算机科学 2020-04-07 Siddharth Barman , Sanath Kumar Krishnamurthy

How can one assign roommates and rooms when tenants have preferences for both where and with whom they live? In this setting, the usual notions of envy-freeness and maximizing social welfare may not hold; the roommate rent-division problem…

计算机科学与博弈论 · 计算机科学 2024-09-24 Yanqing Huang , Madeline Kitch , Natalie Melas-Kyriazi

We consider the following communication problem: Alice and Bob each have some valuation functions $v_1(\cdot)$ and $v_2(\cdot)$ over subsets of $m$ items, and their goal is to partition the items into $S, \bar{S}$ in a way that maximizes…

计算机科学与博弈论 · 计算机科学 2017-04-13 Mark Braverman , Jieming Mao , S. Matthew Weinberg

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

We study the problem of selection in the context of Bayesian persuasion. We are given multiple agents with hidden values (or quality scores), to whom resources must be allocated by a welfare-maximizing decision-maker. An intermediary with…

计算机科学与博弈论 · 计算机科学 2025-11-18 Yannan Bai , Kamesh Munagala , Yiheng Shen , Davidson Zhu

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 indivisible resources under the connectivity constraints of a graph $G$. This model, initially introduced by Bouveret et al. (published in IJCAI, 2017), effectively encompasses a diverse array of scenarios…

计算机科学与博弈论 · 计算机科学 2024-08-27 Halvard Hummel , Ayumi Igarashi

Ensuring fairness while limiting costs, such as transportation or storage, is an important challenge in resource allocation, yet most work has focused on cost minimization without fairness or fairness without explicit cost considerations.…

计算机科学与博弈论 · 计算机科学 2026-01-19 Eva Deltl

We consider the problem of optimal charging of plug-in electric vehicles (PEVs). We treat this problem as a multi-agent game, where vehicles/agents are heterogeneous since they are subject to possibly different constraints. Under the…

最优化与控制 · 数学 2018-10-18 Luca Deori , Kostas Margellos , Maria Prandini

We study fair and economically efficient allocation of indivisible goods among agents whose valuations are rank functions of matroids. Such valuations constitute a well-studied class of submodular functions (i.e., they exhibit a diminishing…

计算机科学与博弈论 · 计算机科学 2021-02-05 Siddharth Barman , Paritosh Verma

Computational and economic results suggest that social welfare maximization and combinatorial auction design are much easier when bidders' valuations satisfy the "gross substitutes" condition. The goal of this paper is to evaluate…

计算机科学与博弈论 · 计算机科学 2016-08-09 Tim Roughgarden , Inbal Talgam-Cohen , Jan Vondrák

We study fair resource allocation under a connectedness constraint wherein a set of indivisible items are arranged on a path and only connected subsets of items may be allocated to the agents. An allocation is deemed fair if it satisfies…

计算机科学与博弈论 · 计算机科学 2021-01-27 Neeldhara Misra , Chinmay Sonar , P. R. Vaidyanathan , Rohit Vaish

We consider two models of fair division with indivisible items: one for goods and one for bads. For goods, we study two generalized envy freeness proxies (EF1 and EFX for goods) and three common welfare (utilitarian, egalitarian and Nash)…

计算机科学与博弈论 · 计算机科学 2018-08-28 Martin Aleksandrov

We study correlated equilibria and coarse equilibria of simple first-price single-item auctions in the simplest auction model of full information. Nash equilibria are known to always yield full efficiency and a revenue that is at least the…

计算机科学与博弈论 · 计算机科学 2017-01-09 Michal Feldman , Brendan Lucier , Noam Nisan

We study the efficiency guarantees in the simple auction environment where the auctioneer has one unit of divisible good to be distributed among a number of budget constrained agents. With budget constraints, the social welfare cannot be…

计算机科学与博弈论 · 计算机科学 2015-02-16 Pinyan Lu , Tao Xiao

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

计算机科学与博弈论 · 计算机科学 2026-03-09 Yasushi Kawase , Ryoga Mahara