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Related papers: Incentive Compatible Two Player Cake Cutting

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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…

Computer Science and Game Theory · Computer Science 2023-11-23 Peter Kern , Daniel Neugebauer , Jörg Rothe , René L. Schilling , Dietrich Stoyan , Robin Weishaupt

Pricing schemes are an important smart grid feature to affect typical energy usage behavior of energy users (EUs). However, most existing schemes use the assumption that a buyer pays the same price per unit of energy to all suppliers at any…

Systems and Control · Computer Science 2015-12-14 Wayes Tushar , Chau Yuen , David Smith , H. Vincent Poor

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 study the proportional chore division problem where a protocol wants to divide an undesirable object, called chore, among $n$ different players. The goal is to find an allocation such that the cost of the chore assigned to each player be…

Computer Science and Game Theory · Computer Science 2018-05-09 Alireza Farhadi , MohammadTaghi Hajiaghayi

We consider a variant of the standard Bayesian mechanism, where players evaluate their outcomes and constraints in an ex-ante manner. Such a model captures a major form of modern online advertising where an advertiser is concerned with…

Computer Science and Game Theory · Computer Science 2022-03-01 Bonan Ni , Pingzhong Tang

Envy-freeness and Pareto Efficiency are two major goals in welfare economics. The existence of an allocation that satisfies both conditions has been studied for a long time. Whether items are indivisible or divisible, it is impossible to…

Computer Science and Game Theory · Computer Science 2019-11-11 Richard Cole , Yixin Tao

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…

Programming Languages · Computer Science 2023-04-11 Noah Bertram , Alex Levinson , Justin Hsu

We study the discrete variation of the classical cake-cutting problem where n players divide a 1-dimensional cake with exactly (n-1) cuts, replacing the continuous, infinitely divisible "cake" with a necklace of discrete, indivisible…

Combinatorics · Mathematics 2017-10-16 Roberto Barrera , Kathryn Nyman , Amanda Ruiz , Francis Edward Su , Yan X. Zhang

This paper studies a general class of social choice problems in which agents' payoff functions (or types) are privately observable random variables, and monetary transfers are not available. We consider cardinal social choice functions…

Theoretical Economics · Economics 2024-08-20 Kazuya Kikuchi , Yukio Koriyama

We study the problem of designing a two-sided market (double auction) to maximize the gains from trade (social welfare) under the constraints of (dominant-strategy) incentive compatibility and budget-balance. Our goal is to do so for an…

Computer Science and Game Theory · Computer Science 2024-06-21 Moshe Babaioff , Amitai Frey , Noam Nisan

Austin's moving knife procedure was originally introduced to find a consensus division of an interval/circular cake between two agents, each of whom believes that they receive exactly half of the cake. We generalise this in two ways: we…

Combinatorics · Mathematics 2025-09-26 Josef Hanke , Ana Rita Pires

We initiate the study of incentive-compatible forecasting competitions in which multiple forecasters make predictions about one or more events and compete for a single prize. We have two objectives: (1) to incentivize forecasters to report…

Computer Science and Game Theory · Computer Science 2021-09-09 Jens Witkowski , Rupert Freeman , Jennifer Wortman Vaughan , David M. Pennock , Andreas Krause

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…

Computer Science and Game Theory · Computer Science 2019-08-12 Erel Segal-Halevi , Shmuel Nitzan

We study collusion in a second-price auction with two bidders in a dynamic environment. One bidder can make a take-it-or-leave-it collusion proposal, which consists of both an offer and a request of bribes, to the opponent. We show that…

Theoretical Economics · Economics 2021-05-31 Jingfeng Lu , Zongwei Lu , Christian Riis

We study the computational complexity of fair division of indivisible items in an enriched model: there is an underlying graph on the set of items. And we have to allocate the items (i.e., the vertices of the graph) to a set of agents in…

Computer Science and Game Theory · Computer Science 2023-05-12 Jayakrishnan Madathil

We study the problem of allocating divisible resources among $n$ agents, hopefully in a fair and efficient manner. With the presence of strategic agents, additional incentive guarantees are also necessary, and the problem of designing fair…

Computer Science and Game Theory · Computer Science 2025-04-25 Xiaohui Bei , Biaoshuai Tao , Jiajun Wu , Mingwei Yang

In this paper, we study online double auctions, where multiple sellers and multiple buyers arrive and depart dynamically to exchange one commodity. We show that there is no deterministic online double auction that is truthful and…

Computer Science and Game Theory · Computer Science 2013-11-04 Dengji Zhao , Dongmo Zhang , Laurent Perrussel

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is as follows: at each stage, a designated agent picks one object among those that remain.…

Artificial Intelligence · Computer Science 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

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…

History and Overview · Mathematics 2023-09-19 Tanya Khovanova , Daniel A. Klain

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…

Computer Science and Game Theory · Computer Science 2016-07-20 Simina Brânzei , Ioannis Caragiannis , David Kurokawa , Ariel D. Procaccia