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We consider a setting in which a single divisible good ("cake") needs to be divided between n players, each with a possibly different valuation function over pieces of the cake. For this setting, we address the problem of finding divisions…

计算机科学与博弈论 · 计算机科学 2016-11-11 Yonatan Aumann , Yair Dombb , Avinatan Hassidim

In this work, we revisit the problem of fairly allocating a number of indivisible items that are located on a line to multiple agents. A feasible allocation requires that the allocated items to each agent are connected on the line. The…

计算机科学与博弈论 · 计算机科学 2022-05-24 Ankang Sun , Bo Li

We consider the fair allocation of indivisible items to several agents and add a graph theoretical perspective to this classical problem. Namely, we introduce an incompatibility relation between pairs of items described in terms of a…

离散数学 · 计算机科学 2022-11-29 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Nevena Pivač , Joachim Schauer

Consider the seller's problem of finding optimal prices for her $n$ (divisible) goods when faced with a set of $m$ consumers, given that she can only observe their purchased bundles at posted prices, i.e., revealed preferences. We study…

计算机科学与博弈论 · 计算机科学 2018-10-09 Ziwei Ji , Ruta Mehta , Matus Telgarsky

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

计算机科学与博弈论 · 计算机科学 2014-04-21 Elliot Anshelevich , Shreyas Sekar

The sequential allocation protocol is a simple and popular mechanism to allocate indivisible goods, in which the agents take turns to pick the items according to a predefined sequence. While this protocol is not strategy-proof, it has been…

计算机科学与博弈论 · 计算机科学 2019-11-27 Michele Flammini , Hugo Gilbert

We consider an optimization problem in a given region $Q$ where an agent has to decide the price $p(x)$ of a product for every $x\in Q$. The customers know the pricing pattern $p$ and may shop at any place $y$, paying the cost $p(y)$ and…

最优化与控制 · 数学 2013-12-24 Giuseppe Buttazzo , Guillaume Carlier

Serial dictatorship is a simple mechanism for coordinating agents in solving combinatorial optimization problems according to their preferences. The most representative such problem is one-sided matching, in which a set of n agents have…

计算机科学与博弈论 · 计算机科学 2024-07-08 Ioannis Caragiannis , Kurt Mehlhorn , Nidhi Rathi

We introduce a problem of fairly allocating indivisible goods (items) in which the agents' valuations cannot be observed directly, but instead can only be accessed via noisy queries. In the two-agent setting with Gaussian noise and bounded…

计算机科学与博弈论 · 计算机科学 2026-05-29 Zihan Li , Yan Hao Ling , Jonathan Scarlett , Warut Suksompong

We consider a regulator willing to drive individual choices towards increasing social welfare by providing incentives to a large population of individuals. For that purpose, we formalize and solve the problem of finding an optimal…

计量经济学 · 经济学 2022-10-04 Lucas Javaudin , Andrea Araldo , André de Palma

We design an expected polynomial-time, truthful-in-expectation, (1-1/e)-approximation mechanism for welfare maximization in a fundamental class of combinatorial auctions. Our results apply to bidders with valuations that are m matroid rank…

计算机科学与博弈论 · 计算机科学 2011-04-19 Shaddin Dughmi , Tim Roughgarden , Qiqi Yan

Social commerce platforms are emerging businesses where producers sell products through re-sellers who advertise the products to other customers in their social network. Due to the increasing popularity of this business model, thousands of…

The maximin share (MMS) guarantee is a desirable fairness notion for allocating indivisible goods. While MMS allocations do not always exist, several approximation techniques have been developed to ensure that all agents receive a fraction…

计算机科学与博弈论 · 计算机科学 2021-05-21 Hadi Hosseini , Andrew Searns

The probabilistic serial (PS) rule is one of the most prominent randomized rules for the assignment problem. It is well-known for its superior fairness and welfare properties. However, PS is not immune to manipulative behaviour by the…

计算机科学与博弈论 · 计算机科学 2014-01-28 Haris Aziz , Serge Gaspers , Nick Mattei , Nina Narodytska , Toby Walsh

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

计算机科学与博弈论 · 计算机科学 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

In this paper, we study how to fairly allocate m indivisible chores to n (asymmetric) agents. We consider (weighted) proportionality up to any item (PROPX) and show that a (weighted) PROPX allocation always exists and can be computed…

计算机科学与博弈论 · 计算机科学 2021-11-01 Bo Li , Yingkai Li , Xiaowei Wu

We consider allocations of a set of $m$ indivisible goods to $n$ agents of equal entitlements that have valuations from the class XOS. A previous sequence of works showed allocations that obtain an $\alpha$-approximation for the maximin…

计算机科学与博弈论 · 计算机科学 2026-05-12 Uriel Feige , Vadim Grinberg

To address efficiency and design challenges in choice-based matching platforms, we introduce a two-sided assortment optimization framework under general choice preferences. The goal in this problem is to maximize the expected number of…

最优化与控制 · 数学 2026-05-08 Omar El Housni , Ulysse Hennebelle , Alfredo Torrico

We study the problem of finding approximate Nash equilibria that satisfy certain conditions, such as providing good social welfare. In particular, we study the problem $\epsilon$-NE $\delta$-SW: find an $\epsilon$-approximate Nash…

计算机科学与博弈论 · 计算机科学 2017-04-26 Argyrios Deligkas , John Fearnley , Rahul Savani

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

最优化与控制 · 数学 2021-08-02 Navid Rezazadeh , Solmaz S. Kia
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