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相关论文: Fair Division with a Secretive Agent

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This paper considers a novel variant of the online fair division problem involving multiple agents in which a learner sequentially observes an indivisible item that has to be irrevocably allocated to one of the agents while satisfying a…

机器学习 · 计算机科学 2025-05-30 Arun Verma , Indrajit Saha , Makoto Yokoo , Bryan Kian Hsiang Low

In the classic problem of fair cake-cutting, a single interval ("cake") has to be divided among n agents with different value measures, giving each agent a single sub-interval with a value of at least 1/n of the total. This paper studies a…

组合数学 · 数学 2020-06-19 Erel Segal-Halevi

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

计算机科学与博弈论 · 计算机科学 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

We consider the problem of fairly allocating indivisible goods, among agents, under cardinality constraints and additive valuations. In this setting, we are given a partition of the entire set of goods---i.e., the goods are…

计算机科学与博弈论 · 计算机科学 2020-10-20 Siddharth Barman , Arpita Biswas

The fair division literature in economics considers how to divide resources between multiple agents such that the allocation is envy-free: each agent receives their favorite piece. Researchers have developed a variety of fair division…

编程语言 · 计算机科学 2023-04-11 Noah Bertram , Alex Levinson , Justin Hsu

We study the fair allocation of a cake, which serves as a metaphor for a divisible resource, under the requirement that each agent should receive a contiguous piece of the cake. While it is known that no finite envy-free algorithm exists in…

计算机科学与博弈论 · 计算机科学 2020-09-24 Paul W. Goldberg , Alexandros Hollender , Warut Suksompong

We study the computational complexity of fairly allocating a set of indivisible items under externalities. In this recently-proposed setting, in addition to the utility the agent gets from their bundle, they also receive utility from items…

计算机科学与博弈论 · 计算机科学 2024-04-16 Argyrios Deligkas , Eduard Eiben , Viktoriia Korchemna , Šimon Schierreich

We investigate the tradeoffs between fairness and efficiency when allocating indivisible items over time. Suppose T items arrive over time and must be allocated upon arrival, immediately and irrevocably, to one of n agents. Agent i assigns…

计算机科学与博弈论 · 计算机科学 2020-05-18 David Zeng , Alexandros Psomas

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 allocating indivisible goods with provable fairness guarantees that are satisfied regardless of which bundle of items each agent receives. Symmetrical allocations of this type are known to exist for divisible resources, such as…

计算机科学与博弈论 · 计算机科学 2024-06-21 Connor Johnston , Aleksandr M. Kazachkov

Fair division mechanisms for indivisible goods require agent orderings to deterministically select one allocation when running the algorithm in practice. We introduce position envy-freeness up to one good (PEF1) as a fairness criterion for…

计算机科学与博弈论 · 计算机科学 2025-11-18 Ryoga Mahara , Ryuhei Mizutani , Taihei Oki , Tomohiko Yokoyama

We study the problem of fairly dividing a heterogeneous resource, commonly known as cake cutting and chore division, in the presence of strategic agents. While a number of results in this setting have been established in previous works,…

计算机科学与博弈论 · 计算机科学 2020-09-15 Xiaohui Bei , Guangda Huzhang , Warut Suksompong

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

计算机科学与博弈论 · 计算机科学 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

We introduce a graphical framework for fair division in cake cutting, where comparisons between agents are limited by an underlying network structure. We generalize the classical fairness notions of envy-freeness and proportionality to this…

数据结构与算法 · 计算机科学 2017-07-10 Xiaohui Bei , Youming Qiao , Shengyu Zhang

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 study the problem of allocating a set of indivisible goods among a set of agents in a fair and efficient manner. An allocation is said to be fair if it is envy-free up to one good (EF1), which means that each agent prefers its own bundle…

计算机科学与博弈论 · 计算机科学 2018-05-14 Siddharth Barman , Sanath Kumar Krishnamurthy , Rohit Vaish

We study fairness in house allocation, where $m$ houses are to be allocated among $n$ agents so that every agent receives one house. We show that maximizing the number of envy-free agents is hard to approximate to within a factor of…

计算机科学与博弈论 · 计算机科学 2021-07-15 Naoyuki Kamiyama , Pasin Manurangsi , Warut Suksompong

The classic house allocation problem is primarily concerned with finding a matching between a set of agents and a set of houses that guarantees some notion of economic efficiency (e.g. utilitarian welfare). While recent works have shifted…

计算机科学与博弈论 · 计算机科学 2024-07-08 Hadi Hosseini , Medha Kumar , Sanjukta Roy

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 revisit the classic problem of fair division from a mechanism design perspective, using {\em Proportional Fairness} as a benchmark. In particular, we aim to allocate a collection of divisible items to a set of agents while incentivizing…

计算机科学与博弈论 · 计算机科学 2014-02-26 Richard Cole , Vasilis Gkatzelis , Gagan Goel