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We study envy-free allocations of indivisible goods to agents in settings where each agent is unaware of the goods allocated to other agents. In particular, we propose the maximin aware (MMA) fairness measure, which guarantees that every…

计算机科学与博弈论 · 计算机科学 2019-10-29 Hau Chan , Jing Chen , Bo Li , Xiaowei Wu

We study the optimal auction design problem when bidders' preferences follow the maxmin expected utility model. We suppose that each bidder's set of priors consists of beliefs close to the seller's belief, where "closeness" is defined by a…

理论经济学 · 经济学 2021-10-19 Sosung Baik , Sung-Ha Hwang

Optimal mechanisms have been provided in quite general multi-item settings, as long as each bidder's type distribution is given explicitly by listing every type in the support along with its associated probability. In the implicit setting,…

计算机科学与博弈论 · 计算机科学 2015-03-09 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

In an online fair allocation problem, a sequence of indivisible items arrives online and needs to be allocated to offline agents immediately and irrevocably. In our paper, we study the online allocation of either goods or chores. We employ…

计算机科学与博弈论 · 计算机科学 2025-09-10 Yuanyuan Wang , Tianze Wei

We consider the problem of online fair division of indivisible goods to players when there are a finite number of types of goods and player values are drawn from distributions with unknown means. Our goal is to maximize social welfare…

计算机科学与博弈论 · 计算机科学 2024-12-10 Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

In this paper, we introduce a novel approach for reducing the $k$-item $n$-bidder auction with additive valuation to $k$-item $1$-bidder auctions. This approach, called the \emph{Best-Guess} reduction, can be applied to address several…

计算机科学与博弈论 · 计算机科学 2014-06-24 Andrew Chi-Chih Yao

Envy-freeness up to one good (EF1) is a well-studied fairness notion for indivisible goods that addresses pairwise envy by the removal of at most one good. In the worst case, each pair of agents might require the (hypothetical) removal of a…

计算机科学与博弈论 · 计算机科学 2020-03-11 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Jun Wang , Lirong Xia

In a multiple-object auction, every bidder tries to win as many objects as possible with a bidding algorithm. This paper studies position-randomized auctions, which form a special class of multiple-object auctions where a bidding algorithm…

计算工程、金融与科学 · 计算机科学 2007-05-23 Yuyu Chen , Ming-Yang Kao , Hsueh-I Lu

A common economic process is crowdsearch, wherein a group of agents is invited to search for a valuable physical or virtual object, e.g. creating and patenting an invention, solving an open scientific problem, or identifying vulnerabilities…

理论经济学 · 经济学 2023-11-16 Hans Gersbach , Akaki Mamageishvili , Fikri Pitsuwan

In this paper, we introduce online knapsack problems with a resource buffer. In the problems, we are given a knapsack with capacity $1$, a buffer with capacity $R\ge 1$, and items that arrive one by one. Each arriving item has to be taken…

数据结构与算法 · 计算机科学 2019-09-24 Xin Han , Yasushi Kawase , Kazuhisa Makino , Haruki Yokomaku

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

计算机科学与博弈论 · 计算机科学 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

In this paper we introduce and analyse, from a game theoretical perspective, several multi-agent or multi-item continuous review inventory models in which the buyers are exempted from ordering costs if the price of their orders is greater…

计算机科学与博弈论 · 计算机科学 2024-02-12 M. Gloria Fiestras-Janeiro , Ignacio García-Jurado , Ana Meca , Manuel A. Mosquera

We study the classic setting of envy-free pricing, in which a single seller chooses prices for its many items, with the goal of maximizing revenue once the items are allocated. Despite the large body of work addressing such settings, most…

计算机科学与博弈论 · 计算机科学 2017-05-03 Elliot Anshelevich , Koushik Kar , Shreyas Sekar

We consider two models of fair division with indivisible items: one for goods and one for bads. For goods, we study two generalized envy freeness proxies (EF1 and EFX for goods) and three common welfare (utilitarian, egalitarian and Nash)…

计算机科学与博弈论 · 计算机科学 2018-08-28 Martin Aleksandrov

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 investigate a new model for partitioning a set of items into groups (clusters). The number of groups is given and the distances between items are well defined. These distances may include weights. The sum of the distances between all…

最优化与控制 · 数学 2023-12-20 Pawel Kalczynski , Zvi Goldstein , Zvi Drezner

We study the problem of finding fair and efficient allocations of a set of indivisible items to a set of agents, where each item may be a good (positively valued) for some agents and a bad (negatively valued) for others, i.e., a mixed…

计算机科学与博弈论 · 计算机科学 2022-02-08 Vasilis Livanos , Ruta Mehta , Aniket Murhekar

We consider a mechanism design setting with a single item and a single buyer who is uncertain about the value of the item. Both the buyer and the seller have a common model for the buyer's value, but the buyer discovers her true value only…

计算机科学与博弈论 · 计算机科学 2025-07-08 Saeed Alaei , Shuchi Chawla , Zhiyi Huang , Ali Makhdoumi , Azarakhsh Malekian

A principal has $m$ identical objects to allocate among a group of $n$ agents. Objects are desirable and the principal's value of assigning an object to an agent is the agent's private information. The principal can verify up to $k$ agents,…

理论经济学 · 经济学 2024-09-04 Albin Erlanson , Andreas Kleiner

We study a natural combinatorial pricing problem for sequentially arriving buyers with equal budgets. Each buyer is interested in exactly one pair of items and purchases this pair if and only if, upon arrival, both items are still available…

计算机科学与博弈论 · 计算机科学 2023-02-24 Christoph Dürr , Mathieu Mari , Ulrike Schmidt-Kraepelin