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We consider the problem of fairly dividing a heterogeneous cake between a number of players with different tastes. In this setting, it is known that fairness requirements may result in a suboptimal division from the social welfare…

Computer Science and Game Theory · Computer Science 2012-05-18 Orit Arzi , Yonatan Aumann , Yair Dombb

The paper considers fair allocation of resources that are already allocated in an unfair way. This setting requires a careful balance between the fairness considerations and the rights of the present owners. The paper presents re-division…

Computer Science and Game Theory · Computer Science 2022-06-01 Erel Segal-Halevi

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…

Computer Science and Game Theory · Computer Science 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

We consider the classical cake-cutting problem where we wish to fairly divide a heterogeneous resource, often modeled as a cake, among interested agents. Work on the subject typically assumes that the cake is represented by an interval. In…

Computer Science and Game Theory · Computer Science 2025-05-02 Xiaohui Bei , Warut Suksompong

We study the cake-cutting problem when agents have single-peaked preferences over the cake. We show that a recently proposed mechanism by Wang-Wu (2019) to obtain envy-free allocations can yield large welfare losses. Using a simplifying…

Computer Science and Game Theory · Computer Science 2020-03-05 Bhavook Bhardwaj , Rajnish Kumar , Josue Ortega

We consider two-player contests with the possibility of ties and study the effect of different tie-breaking rules on effort. For ratio-form and difference-form contests that admit pure-strategy Nash equilibrium, we find that the effort of…

Theoretical Economics · Economics 2024-02-05 Sumit Goel , Amit Goyal

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…

Discrete Mathematics · Computer Science 2018-05-02 Ágnes Cseh , Tamás Fleiner

In this article we study a cake cutting problem. More precisely, we study symmetric fair division algorithms, that is to say we study algorithms where the order of the players do not influence the value obtained by each player. In the first…

Computer Science and Game Theory · Computer Science 2019-10-14 Guillaume Chèze

We study competition among contests in a general model that allows for an arbitrary and heterogeneous space of contest design, where the goal of the contest designers is to maximize the contestants' sum of efforts. Our main result shows…

Computer Science and Game Theory · Computer Science 2021-07-29 Xiaotie Deng , Yotam Gafni , Ron Lavi , Tao Lin , Hongyi Ling

We study the disproportionate version of the classical cake-cutting problem: how efficiently can we divide a cake, here $[0,1]$, among $n$ agents with different demands $\alpha_1, \alpha_2, \dots, \alpha_n$ summing to $1$? When all the…

Combinatorics · Mathematics 2019-09-17 Logan Crew , Bhargav Narayanan , Sophie Spirkl

Cournot competition is a fundamental economic model that represents firms competing in a single market of a homogeneous good. Each firm tries to maximize its utility---a function of the production cost as well as market price of the…

Computer Science and Game Theory · Computer Science 2014-07-25 Melika Abolhassani , MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Hamid Mahini , Anshul Sawant

In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer, or a group of producers, can attain depends on the amount of common-pool…

Optimization and Control · Mathematics 2019-12-09 Elisabeth Gutierrez , Natividad Llorca , Joaquin Sanchez-Soriano , Manuel Mosquera

In classical job-scheduling games, each job behaves as a selfish player, choosing a machine to minimize its own completion time. To reduce the equilibria inefficiency, coordination mechanisms are employed, allowing each machine to follow…

Computer Science and Game Theory · Computer Science 2025-02-11 Gilad Lavie , Tami Tamir

In this paper we introduce a capacity allocation game which models the problem of maximizing network utility from the perspective of distributed noncooperative agents. Motivated by the idea of self-managed networks, in the developed…

Computer Science and Game Theory · Computer Science 2013-07-23 Dariusz Gcasior , Maciej Drwal

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

Optimization and Control · Mathematics 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

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…

Computer Science and Game Theory · Computer Science 2025-09-01 Alexandros Hollender , Aviad Rubinstein

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,…

Computer Science and Game Theory · Computer Science 2020-09-15 Xiaohui Bei , Guangda Huzhang , Warut Suksompong

We consider the problem of allocating divisible items among multiple agents, and consider the setting where any agent is allowed to introduce diversity constraints on the items they are allocated. We motivate this via settings where the…

Computer Science and Game Theory · Computer Science 2021-10-01 Zeyu Shen , Lodewijk Gelauff , Ashish Goel , Aleksandra Korolova , Kamesh Munagala

We study the problem of allocating divisible bads (chores) among multiple agents with additive utilities when monetary transfers are not allowed. The competitive rule is known for its remarkable fairness and efficiency properties in the…

Computer Science and Game Theory · Computer Science 2023-07-18 Simina Brânzei , Fedor Sandomirskiy

We consider a game of decentralized timing of jobs to a single server (machine) with a penalty for deviation from a due date, and no delay costs. The jobs' sizes are homogeneous and deterministic. Each job belongs to a single decision…

Computer Science and Game Theory · Computer Science 2017-10-17 Amihai Glazer , Refael Hassin , Liron Ravner