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We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

计算机科学与博弈论 · 计算机科学 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

We consider the problem of allocating heterogeneous and indivisible goods among strategic agents, with preferences over subsets of goods, when there is no medium of exchange. This model captures the well studied problem of fair allocation…

计算机科学与博弈论 · 计算机科学 2026-04-27 Moshe Babaioff , Noam Manaker Morag

Auction is applied for trade with various mechanisms. A simple but practical question is which mechanism, typically first-price or second-price auctions, is preferred from the perspective of bidders or sellers. A celebrated answer is…

计算机科学与博弈论 · 计算机科学 2026-02-20 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

We study the fair allocation of undesirable indivisible items, or chores. While the case of desirable indivisible items (or goods) is extensively studied, with many results known for different notions of fairness, less is known about the…

计算机科学与博弈论 · 计算机科学 2022-08-30 Umang Bhaskar , A. R. Sricharan , Rohit Vaish

We study the existence of equilibrium when agents' preferences may not beconvex. For some specific utility functions, we provide a necessary and sufficientcondition under which there exists an equilibrium. The standard approach cannot be…

计算金融 · 定量金融 2025-03-24 Cuong Le Van , Ngoc-Sang Pham

We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

计算机科学与博弈论 · 计算机科学 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

There are several aspects of data markets that distinguish them from a typical commodity market: asymmetric information, the non-rivalrous nature of data, and informational externalities. Formally, this gives rise to a new class of games…

计算机科学与博弈论 · 计算机科学 2023-03-29 Samir Wadhwa , Roy Dong

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items…

计算机科学与博弈论 · 计算机科学 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

计算机科学与博弈论 · 计算机科学 2025-03-07 Noga Klein Elmalem , Haris Aziz , Rica Gonen , Xin Huang , Kei Kimura , Indrajit Saha , Erel Segal-Halevi , Zhaohong Sun , Mashbat Suzuki , Makoto Yokoo

We study the fair allocation of indivisible goods with variable groups. In this model, the goal is to partition the agents into groups of given sizes and allocate the goods to the groups in a fair manner. We show that for any number of…

计算机科学与博弈论 · 计算机科学 2025-11-11 Paul Gölz , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

The online bipartite matching problem, extensively studied in the literature, deals with the allocation of online arriving vertices (items) to a predetermined set of offline vertices (agents). However, little attention has been given to the…

计算机科学与博弈论 · 计算机科学 2024-10-28 MohammadTaghi Hajiaghayi , Shayan Chashm Jahan , Mohammad Sharifi , Suho Shin , Max Springer

For networks with externalities, where each component's worth may depend on the full network structure, balanced contributions and fairness lead to distinct component-efficient allocation rules. We characterize the unique…

理论经济学 · 经济学 2026-04-16 Frank Huettner

Economic competition between humans leads to income inequality, but, so far, there has been little understanding of underlying quantitative mechanisms governing such a collective behavior. We analyze datasets of household income from 67…

In fair division problems, we are given a set $S$ of $m$ items and a set $N$ of $n$ agents with individual preferences, and the goal is to find an allocation of items among agents so that each agent finds the allocation fair. There are…

The theory of algorithmic fair allocation is within the center of multi-agent systems and economics in the last decade due to its industrial and social importance. At a high level, the problem is to assign a set of items that are either…

计算机科学与博弈论 · 计算机科学 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

This paper studies a setting in which multiple suppliers compete for a buyer's procurement business. The buyer faces uncertain demand and there is a requirement to reserve capacity in advance of knowing the demand. Each supplier has costs…

计算机科学与博弈论 · 计算机科学 2019-05-28 Edward Anderson , Bo Chen , Lusheng Shao

We study the fundamental problem of fairly dividing a set of indivisible goods among agents with additive valuations. Here, envy-freeness up to any good (EFX) is a central fairness notion and resolving its existence is regarded as one of…

计算机科学与博弈论 · 计算机科学 2026-02-13 Hannaneh Akrami , Ryoga Mahara , Kurt Mehlhorn , Nidhi Rathi

We consider a price competition between two sellers of perfect-complement goods. Each seller posts a price for the good it sells, but the demand is determined according to the sum of prices. This is a classic model by Cournot (1838), who…

计算机科学与博弈论 · 计算机科学 2017-06-02 Moshe Babaioff , Liad Blumrosen , Noam Nisan

The goal of an auction is to determine commodity prices such that all participants are perfectly happy. Such a solution is called a competitive equilibrium and does not exist in general. For this reason we are interested in solutions which…

最优化与控制 · 数学 2013-09-04 Johannes C. Müller

This paper proposes the notion of robust PBE in a general competing mechanism game of incomplete information where a mechanism allows its designer to send a message to himself at the same time agents send messages. It identifies the utility…

理论经济学 · 经济学 2023-08-21 Seungjin Han
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