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相关论文: On Existence of Truthful Fair Cake Cutting Mechani…

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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 classic cake cutting problem from a mechanism design perspective, in particular focusing on deterministic mechanisms that are strategyproof and fair. We begin by looking at mechanisms that are non-wasteful and primarily show…

计算机科学与博弈论 · 计算机科学 2017-05-19 Vijay Menon , Kate Larson

The problem of fair division known as "cake cutting" has been the focus of multiple papers spanning several decades. The most prominent problem in this line of work has been to bound the query complexity of computing an envy-free outcome in…

计算机科学与博弈论 · 计算机科学 2022-01-14 Ioannis Caragiannis , Vasilis Gkatzelis , Alexandros Psomas , Daniel Schoepflin

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 initiate the study of multi-layered cake cutting with the goal of fairly allocating multiple divisible resources (layers of a cake) among a set of agents. The key requirement is that each agent can only utilize a single resource at each…

计算机科学与博弈论 · 计算机科学 2020-04-29 Hadi Hosseini , Ayumi Igarashi , Andrew Searns

The classic cake cutting problem concerns the fair allocation of a heterogeneous resource among interested agents. In this paper, we study a public goods variant of the problem, where instead of competing with one another for the cake, the…

计算机科学与博弈论 · 计算机科学 2025-01-31 Xiaohui Bei , Xinhang Lu , Warut Suksompong

We address the problem of fair division, or cake cutting, with the goal of finding truthful mechanisms. In the case of a general measure space ("cake") and non-atomic, additive individual preference measures - or utilities - we show that…

计算机科学与博弈论 · 计算机科学 2010-10-27 Elchanan Mossel , Omer Tamuz

The classical cake cutting problem studies how to find fair allocations of a heterogeneous and divisible resource among multiple agents. Two of the most commonly studied fairness concepts in cake cutting are proportionality and…

数据结构与算法 · 计算机科学 2019-07-15 Xiaohui Bei , Xiaoming Sun , Hao Wu , Jialin Zhang , Zhijie Zhang , Wei Zi

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

In the classical cake cutting problem, a resource must be divided among agents with different utilities so that each agent believes they have received a fair share of the resource relative to the other agents. We introduce a variant of the…

数据结构与算法 · 计算机科学 2018-02-27 Rediet Abebe , Jon Kleinberg , David Parkes

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

In the envy-free cake-cutting problem we are given a resource, usually called a cake and represented as the $[0,1]$ interval, and a set of $n$ agents with heterogeneous preferences over pieces of the cake. The goal is to divide the cake…

计算机科学与博弈论 · 计算机科学 2025-09-01 Alexandros Hollender , Aviad Rubinstein

We study the problem of fairly allocating a divisible resource, also known as cake cutting, with an additional requirement that the shares that different agents receive should be sufficiently separated from one another. This captures, for…

计算机科学与博弈论 · 计算机科学 2022-09-20 Edith Elkind , Erel Segal-Halevi , Warut Suksompong

An unceasing problem of our prevailing society is the fair division of goods. The problem of proportional cake cutting focuses on dividing a heterogeneous and divisible resource, the cake, among $n$ players who value pieces according to…

离散数学 · 计算机科学 2018-05-02 Ágnes Cseh , Tamás Fleiner

We consider the classic problem of envy-free division of a heterogeneous good ("cake") among several agents. It is known that, when the allotted pieces must be connected, the problem cannot be solved by a finite algorithm for 3 or more…

数据结构与算法 · 计算机科学 2018-05-15 Erel Segal-Halevi , Avinatan Hassidim , Yonatan Aumann

Cake-cutting is a fundamental model of dividing a heterogeneous resource, such as land, broadcast time, and advertisement space. In this study, we consider the problem of dividing a discrete cake fairly in which the indivisible goods are…

计算机科学与博弈论 · 计算机科学 2022-11-29 Ayumi Igarashi

We study the paradigmatic fair division problem of allocating a divisible good among agents with heterogeneous preferences, commonly known as cake cutting. Classical cake cutting protocols are susceptible to manipulation. Do their strategic…

计算机科学与博弈论 · 计算机科学 2016-07-20 Simina Brânzei , Ioannis Caragiannis , David Kurokawa , Ariel D. Procaccia

We investigate the problem of fairly dividing a divisible heterogeneous resource, also known as a cake, among a set of agents who may have different entitlements. We characterize the existence of a connected strongly-proportional allocation…

组合数学 · 数学 2024-08-07 Zsuzsanna Jankó , Attila Joó , Erel Segal-Halevi , Sheung Man Yuen

We consider the well-studied cake cutting problem in which the goal is to find an envy-free allocation based on queries from $n$ agents. The problem has received attention in computer science, mathematics, and economics. It has been a major…

数据结构与算法 · 计算机科学 2017-08-29 Haris Aziz , Simon Mackenzie
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