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We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a meaningful functional framework, and for that purpose,…

量子物理 · 物理学 2007-05-23 John R. Klauder

We characterise the set of dominant strategy incentive compatible (DSIC), strongly budget balanced (SBB), and ex-post individually rational (IR) mechanisms for the multi-unit bilateral trade setting. In such a setting there is a single…

计算机科学与博弈论 · 计算机科学 2018-11-14 Matthias Gerstgrasser , Paul W. Goldberg , Bart de Keijzer , Philip Lazos , Alexander Skopalik

We study how the complexity of evolutionary dynamics in the classic MacArthur consumer-resource model depends on resource uptake and utilization rates. The traditional assumption in such models is that the utilization rate of the consumer…

种群与进化 · 定量生物学 2019-10-18 Iaroslav Ispolatov , Michael Doebeli

A formulation of bit-string models of language evolution, based on differential equations for the population speaking each language, is introduced and preliminarily studied. Connections with replicator dynamics and diffusion processes are…

物理与社会 · 物理学 2009-11-13 Damian H. Zanette

We consider a setting where $n$ buyers, with combinatorial preferences over $m$ items, and a seller, running a priority-based allocation mechanism, repeatedly interact. Our goal, from observing limited information about the results of these…

计算机科学与博弈论 · 计算机科学 2014-08-29 Avrim Blum , Yishay Mansour , Jamie Morgenstern

Algorithmic recommender systems such as Spotify and Netflix affect not only consumer behavior but also producer incentives. Producers seek to create content that will be shown by the recommendation algorithm, which can impact both the…

计算机科学与博弈论 · 计算机科学 2023-12-12 Meena Jagadeesan , Nikhil Garg , Jacob Steinhardt

The vast majority of recommender systems model preferences as static or slowly changing due to observable user experience. However, spontaneous changes in user preferences are ubiquitous in many domains like media consumption and key…

人机交互 · 计算机科学 2016-10-24 Arun Kumar , Paul Schrater

Pattern formation often occurs in confined systems, yet how boundaries shape patterning dynamics is unclear. We develop techniques to analyze confinement effects in nonlocal advection-diffusion equations, which generically capture the…

斑图形成与孤子 · 物理学 2025-09-11 Jan Rombouts , Michael L Zhao , Alexander Aulehla , Anna Erzberger

From pedestrians to Kuramoto oscillators, interactions between agents govern how dynamical systems evolve in space and time. Discovering how these agents relate to each other has the potential to improve our understanding of the often…

Culture is not just traits but a dynamic system of interdependent beliefs, practices and artefacts embedded in cognitive, social and material structures. Culture evolves as these entities interact, generating path dependence, attractor…

物理与社会 · 物理学 2026-01-05 Fredrik Jansson

The deterministic dynamics of randomly connected neural networks are studied, where a state of binary neurons evolves according to a discreet-time synchronous update rule. We give a theoretical support that the overlap of systems' states…

统计力学 · 物理学 2015-03-10 Taro Toyoizumi , Haiping Huang

The science of Human-Computer Interaction (HCI) is populated by isolated empirical findings, often tied to specific technologies, designs, and tasks. This paper proposes a formalization of user interaction observations (instead of user…

人机交互 · 计算机科学 2025-07-21 Guillaume Rivière

Given the combined evidences of bounded rationality, limited information and short-term optimization, over-the-counter (OTC) fresh product markets provide a perfect instance where to develop a behavioural approach to the analysis of…

理论经济学 · 经济学 2025-11-17 Ali Ellouze , Bastien Fernandez

We study the evolution of recombination using a microscopic model developed within the frame of the theory of quantitative traits. Two components of fitness are considered: a static one that describes adaptation to environmental factors not…

种群与进化 · 定量生物学 2007-05-23 Franco Bagnoli , Carlo Guardiani

On today's Web, users trade access to their private data for content and services. Advertising sustains the business model of many websites and applications. Efficient and successful advertising relies on predicting users' actions and…

计算机与社会 · 计算机科学 2016-05-25 Silvia Puglisi , David Rebollo-Monedero , Jordi Forné

Social discrimination seems to be a persistent phenomenon in many cultures. It is important to understand the mechanisms that lead people to judge others by the group to which they belong, rather than individual qualities. It was recently…

适应与自组织系统 · 物理学 2019-12-11 Gorm Gruner Jensen , Frederik Tischel , Stefan Bornholdt

We consider a problem of data integration. Consider determining which genes affect a disease. The genes, which we call predictor objects, can be measured in different experiments on the same individual. We address the question of finding…

机器学习 · 统计学 2016-10-04 Xin Gao , Raymond J. Carroll

Nanoparticles functionalized with multiple ligands can be programmed to bind biological targets depending on the receptors they express, providing a general mechanism exploited in various technologies, from selective drug-delivery to…

化学物理 · 物理学 2017-02-22 Stefano Angioletti-Uberti

A researcher observes a finite sequence of choices made by multiple agents in a binary-state environment. Agents maximize expected utilities that depend on their chosen alternative and the unknown underlying state. Agents learn about the…

理论经济学 · 经济学 2021-05-11 Rahul Deb , Ludovic Renou

The goal of this paper is to provide mathematically rigorous tools for modelling the evolution of a community of interacting individuals. We model the population by a measure space where the measure determines the abundance of individual…

概率论 · 数学 2017-05-17 Thomas Cass , Terry Lyons