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Cake-cutting is a playful name for the fair division of a heterogeneous, divisible good among agents, a well-studied problem at the intersection of mathematics, economics, and artificial intelligence. The cake-cutting literature is rich and…

计算机科学与博弈论 · 计算机科学 2023-11-23 Peter Kern , Daniel Neugebauer , Jörg Rothe , René L. Schilling , Dietrich Stoyan , Robin Weishaupt

Before Brexit, one of the greatest causes of arguments amongst British families was the question of the nature of Jaffa Cakes. Some argue that their size and host environment (the biscuit aisle) should make them a biscuit in their own…

天体物理仪器与方法 · 物理学 2021-04-01 H. F. Stevance

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…

计算机科学与博弈论 · 计算机科学 2012-05-18 Orit Arzi , Yonatan Aumann , Yair Dombb

A fundamental result in cake cutting states that for any number of players with arbitrary preferences over a cake, there exists a division of the cake such that every player receives a single contiguous piece and no player is left envious.…

理论经济学 · 经济学 2023-03-20 Erel Segal-Halevi , Warut Suksompong

Cake cutting is a classic fair division problem, with the cake serving as a metaphor for a heterogeneous divisible resource. Recently, it was shown that for any number of players with arbitrary preferences over a cake, it is possible to…

理论经济学 · 经济学 2023-03-20 Erel Segal-Halevi , Warut Suksompong

We consider the classic problem of fairly dividing a heterogeneous good ("cake") among several agents with different valuations. Classic cake-cutting procedures either allocate each agent a collection of disconnected pieces, or assume that…

计算机科学与博弈论 · 计算机科学 2018-01-31 Erel Segal-Halevi , Shmuel Nitzan , Avinatan Hassidim , Yonatan Aumann

While companies increasingly rely on data, especially when it comes to targeted advertising, adapting content to users, selling data and training machine learning models, the collection of data raises privacy concerns. One way of collecting…

人机交互 · 计算机科学 2026-05-15 Liv Hilde Sjøflot , Tobias A. Opsahl

Food and nutrition occupy an increasingly prevalent space on the web, and dishes and recipes shared online provide an invaluable mirror into culinary cultures and attitudes around the world. More specifically, ingredients, flavors, and…

Two people meet in a coffeehouse and decide to share one dessert from a menu of several possible choices. How should they choose which one? A method is presented that is intended to be practical, avoiding the need for long negotiations or…

历史与综述 · 数学 2023-09-19 Tanya Khovanova , Daniel A. Klain

Assuming a constant mass-decrease per unit-surface and -time we provide a very simplistic model for the dissolution process of spherical candies. The aim is to investigate the quantitative behavior of the dissolution process throughout the…

科普物理 · 物理学 2013-02-26 Andreas Windisch , Herbert Windisch , Anita Popescu

Given that measuring food consumption at a population scale is a challenging task, researchers have begun to explore digital traces (e.g., from social media or from food-tracking applications) as potential proxies. However, it remains…

社会与信息网络 · 计算机科学 2022-08-31 Kristina Gligorić , Irena Đorđević , Robert West

A website browser cookie is a small file created by a web server upon visitation, which is placed in the user's browser directory to enhance the user's experience. However, first and third-party cookies have become a significant threat to…

计算机与社会 · 计算机科学 2022-11-15 Matthew Wheeler , Suleiman Saka , Sanchari Das

Cookie banners are devices implemented by websites to allow users to manage their privacy settings with respect to the use of cookies. They are part of a user's daily web browsing experience since legislation in Europe requires websites to…

密码学与安全 · 计算机科学 2021-04-14 Georgios Kampanos , Siamak F. Shahandashti

How did we get from a world where cookies were something you ate and where "non-techies" were unaware of "Netscape cookies" to a world where cookies are a hot-button privacy issue for many computer users? This paper will describe how HTTP…

软件工程 · 计算机科学 2016-08-31 David M. Kristol

Web cookies are ubiquitously used to track and profile the behavior of users. Although there is a solid empirical foundation for understanding the use of cookies in the global world wide web, thus far, limited attention has been devoted for…

密码学与安全 · 计算机科学 2018-01-25 Jukka Ruohonen , Ville Leppänen

This paper extends the classic cake-cutting problem to a situation in which the "cake" is divided among families. Each piece of cake is owned and used simultaneously by all members of the family. A typical example of such a cake is land. We…

计算机科学与博弈论 · 计算机科学 2019-08-12 Erel Segal-Halevi , Shmuel Nitzan

We consider the model of the one-dimensional cookie random walk when the initial cookie distribution is spatially uniform and the number of cookies per site is finite. We give a criterion to decide whether the limiting speed of the walk is…

概率论 · 数学 2007-05-23 Anne-Laure Basdevant , Arvind Singh

The classic cake-cutting problem provides a model for addressing fair and efficient allocation of a divisible, heterogeneous resource (metaphorically, the cake) among agents with distinct preferences. Focusing on a standard formulation of…

计算机科学与博弈论 · 计算机科学 2021-05-21 Eshwar Ram Arunachaleswaran , Siddharth Barman , Rachitesh Kumar , Nidhi Rathi

To divide a cake into equal sized pieces most people use a knife and a mixture of luck and dexterity. These attempts are often met with varying success. Through precise geometric constructions performed with the knife replacing Euclid's…

历史与综述 · 数学 2021-07-13 Alexander Müller-Hermes

A division of a cake by n people is envy free if everyone thinks they got the biggest pieces. Note that peoples tastes can differ. There is a discrete protocol for envy free division for n=3 which takes at most 5 cuts. For n=4 and beyond…

逻辑 · 数学 2015-08-25 William Gasarch
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