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In the weighted bipartite matching problem, the goal is to find a maximum-weight matching in a bipartite graph with nonnegative edge weights. We consider its online version where the first vertex set is known beforehand, but vertices of the…

计算机科学与博弈论 · 计算机科学 2021-03-05 Rebecca Reiffenhäuser

For the longest time, languages have been competing for their speakers to survive, although this problem has only recently gained rigorous attention from the scholarly community as a means to address the risk of losing speakers for the…

动力系统 · 数学 2023-06-16 Chami Kariyapperuma , Kushani De Silva

Firms' algorithm development practices are often homogeneous. Whether firms train algorithms on similar data, aim at similar benchmarks, or rely on similar pre-trained models, the result is correlated predictions. We model the impact of…

计算机科学与博弈论 · 计算机科学 2025-03-21 Nathanael Jo , Kathleen Creel , Ashia Wilson , Manish Raghavan

We consider manipulation strategies for the rank-maximal matching problem. In the rank-maximal matching problem we are given a bipartite graph $G = (A \cup P, E)$ such that $A$ denotes a set of applicants and $P$ a set of posts. Each…

数据结构与算法 · 计算机科学 2018-08-30 Pratik Ghosal , Katarzyna Paluch

We build upon recent work [Kleinberg and Oren, 2014, Kleinberg et al., 2016, 2017] that considers present biased agents, who place more weight on costs they must incur now than costs they will incur in the future. They consider a graph…

计算机科学与博弈论 · 计算机科学 2022-01-17 Aditya Saraf , Anna R. Karlin , Jamie Morgenstern

We study how increasing competition, by making prizes more unequal, affects effort in contests. In a finite type-space environment, we characterize the equilibrium, analyze the effect of competition under linear costs, and identify…

理论经济学 · 经济学 2025-02-13 Andrzej Baranski , Sumit Goel

The proliferation of algorithmic systems has fueled discussions surrounding the regulation and control of their social impact. Herein, we consider a system whose primary objective is to maximize utility by selecting the most qualified…

机器学习 · 计算机科学 2024-05-21 Hamidreza Montaseri , Amin Gohari

In this study, we examined the impact of recommendation systems' algorithms on individuals' collaborator choices when forming teams. Different algorithmic designs can lead individuals to select one collaborator over another, thereby shaping…

人机交互 · 计算机科学 2024-10-02 Diego Gomez-Zara , Victoria Kam , Charles Chiang , Leslie DeChurch , Noshir Contractor

Collaboration networks are studied as an example of growing bipartite networks. These have been previously observed to have structure such as positive correlations between nearest-neighbour degrees. However, a detailed understanding of the…

物理与社会 · 物理学 2009-11-11 Matti Peltomaki , Mikko Alava

We consider two sided matching markets consisting of agents with non-transferable utilities; agents from the opposite sides form matching pairs (e.g., buyers-sellers) and negotiate the terms of their math which may include a monetary…

计算机科学与博弈论 · 计算机科学 2012-12-05 Saeed Alaei , Kamal Jain , Azarakhsh Malekian

Based on a proposed coherence measure, we show that the local coherence of a bipartite quantum pure state (coherence of its reduced density matrix) is exactly the same as the minimal average co- herence with all potential pure-state…

量子物理 · 物理学 2014-11-04 Chang-shui Yu , He-shan Song

Competitive interactions represent one of the driving forces behind evolution and natural selection in biological and sociological systems. For example, animals in an ecosystem may vie for food or mates; in a market economy, firms may…

物理与社会 · 物理学 2013-07-03 Jacobo Aguirre , David Papo , Javier M. Buldú

The draw of some knockout tournaments requires finding a perfect matching in a balanced bipartite graph. The problem becomes challenging with draw constraints: the two draw procedures used in sports are known to be non-uniformly distributed…

物理与社会 · 物理学 2025-04-17 László Csató

Let $G = (A \cup B,E)$ be a bipartite graph where the set $A$ consists of agents or main players and the set $B$ consists of jobs or secondary players. Every vertex has a strict ranking of its neighbors. A matching $M$ is popular if for any…

数据结构与算法 · 计算机科学 2022-07-13 Telikepalli Kavitha

Statistical matching is an effective method for estimating causal effects in which treated units are paired with control units with ``similar'' values of confounding covariates prior to performing estimation. In this way, matching helps…

统计方法学 · 统计学 2023-09-13 Sanjeewani Weerasingha , Michael J. Higgins

In many prediction problems, the predictive model affects the distribution of the prediction target. This phenomenon is known as performativity and is often caused by the behavior of individuals with vested interests in the outcome of the…

机器学习 · 统计学 2024-06-03 Seamus Somerstep , Ya'acov Ritov , Yuekai Sun

Children learn word meanings by tapping into the commonalities across different situations in which words are used and overcome the high level of uncertainty involved in early word learning experiences. We propose a modeling framework to…

计算与语言 · 计算机科学 2021-07-28 Aida Nematzadeh , Zahra Shekarchi , Thomas L. Griffiths , Suzanne Stevenson

A greedy personality is usually accompanied by arrogance and confidence. This work investigates the cooperation success condition in the context of biased payoff allocation and self-confidence. The first component allows the organizer in a…

物理与社会 · 物理学 2023-07-28 Chaoqian Wang , Wenqiang Zhu , Attila Szolnoki

Recent advancements in bipartite consensus, a scenario where agents are divided into two disjoint sets with agents in the same set agreeing on a certain value and those in different sets agreeing on opposite or specifically related values,…

系统与控制 · 电气工程与系统科学 2024-10-01 Chongzhi Wang , Haibin Shao , Ying Tan , Dewei Li

We consider the problem of stable matching with dynamic preference lists. At each time step, the preference list of some player may change by swapping random adjacent members. The goal of a central agency (algorithm) is to maintain an…

计算机科学与博弈论 · 计算机科学 2016-06-29 Varun Kanade , Nikos Leonardos , Frédéric Magniez