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In this paper we consider the diffusive competition model with free boundary in the heterogeneous time-periodic environment, in which the variable intrinsic growth rates of invasive and native species may change signs and be "very negative"…

偏微分方程分析 · 数学 2015-04-28 Mingxin Wang

Competition is one of the most fundamental phenomena in physics, biology and economics. Recent studies of the competition between innovations have highlighted the influence of switching costs and interaction networks, but the problem is…

物理与社会 · 物理学 2011-01-06 Carlos P. Roca , Moez Draief , Dirk Helbing

In the new digital age, information is available in large quantities. Since information consumes primarily the attention of its recipients, the scarcity of attention is becoming the main limiting factor. In this study, we investigate the…

社会与信息网络 · 计算机科学 2014-11-26 Uzay Cetin , Haluk O. Bingol

We consider a scenario where a seller possesses a dataset $D$ and trains it into models of varying accuracies for sale in the market. Due to the reproducibility of data, the dataset can be reused to train models with different accuracies,…

人工智能 · 计算机科学 2025-04-01 Jie Liu , Tao Feng , Yan Jiang , Peizheng Wang , Chao Wu

We study a spatial two-strategy (cooperation and defection) Prisoner's Dilemma game with two types ($A$ and $B$) of players located on the sites of a square lattice. The evolution of strategy distribution is governed by iterated strategy…

物理与社会 · 物理学 2009-01-15 Gyorgy Szabo , Attila Szolnoki

We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end…

动力系统 · 数学 2023-03-22 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu

Pricing decisions stand out as one of the most critical tasks a company faces, particularly in today's digital economy. As with other business decision-making problems, pricing unfolds in a highly competitive and uncertain environment.…

计算机科学与博弈论 · 计算机科学 2024-09-04 Daniel García Rasines , Roi Naveiro , David Ríos Insua , Simón Rodríguez Santana

Many real-world optimisation problems involve dynamic and stochastic components. While problems with multiple interacting components are omnipresent in inherently dynamic domains like supply-chain optimisation and logistics, most research…

神经与进化计算 · 计算机科学 2020-09-16 Ragav Sachdeva , Frank Neumann , Markus Wagner

Competition and cooperation are inherent features of any multi-echelon supply chain. The interactions among the agents across the same echelon and that across various echelons influence the percolation of market demand across echelons. The…

理论经济学 · 经济学 2024-01-11 Gurkirat Wadhwa , Tushar Shankar Walunj , Veeraruna Kavitha

We study the classic problem in which a Searcher must locate a hidden point, also called the Hider in a network, starting from a root point. The network may be either bounded or unbounded, thus generalizing well-known settings such as…

最优化与控制 · 数学 2019-08-07 Spyros Angelopoulos , Thomas Lidbetter

We study Cournot competition among firms in a networked marketplace that is centrally managed by a market maker. In particular, we study a situation in which a market maker facilitates trade between geographically separate markets via a…

计算机科学与博弈论 · 计算机科学 2019-04-22 Desmond Cai , Subhonmesh Bose , Adam Wierman

We study the conditions under which input-output networks can dynamically attain a competitive equilibrium, where markets clear and profits are zero. We endow a classical firm network model with minimal dynamical rules that reduce…

综合经济学 · 经济学 2021-11-04 Théo Dessertaine , José Moran , Michael Benzaquen , Jean-Philippe Bouchaud

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

Linear Fisher market is one of the most fundamental economic models. The market is traditionally examined on the basis of individual's price-taking behavior. However, this assumption breaks in markets such as online advertising and…

计算机科学与博弈论 · 计算机科学 2024-07-17 Juncheng Li , Pingzhong Tang

We propose a novel approach to modeling advertising dynamics for a firm operating over distributed market domain based on controlled partial differential equations of diffusion type. Using our model, we consider a general type of…

最优化与控制 · 数学 2007-05-23 Carlo Marinelli , Sergei Savin

We study a competitive online optimization problem with multiple inventories. In the problem, an online decision maker seeks to optimize the allocation of multiple capacity-limited inventories over a slotted horizon, while the allocation…

性能 · 计算机科学 2022-02-08 Qiulin Lin , Yanfang Mo , Junyan Su , Minghua Chen

Most sales applications are characterized by competition and limited demand information. For successful pricing strategies, frequent price adjustments as well as anticipation of market dynamics are crucial. Both effects are challenging as…

计算机科学与博弈论 · 计算机科学 2018-09-10 Rainer Schlosser , Martin Boissier

We present a dynamical model of web site growth in order to explore the effects of competition among web sites and to determine how they affect the nature of markets. We show that under general conditions, as the competition between sites…

混沌动力学 · 物理学 2007-05-23 Sebastian M. Maurer , Bernardo A. Huberman

We consider a dual model of decision making, in which an individual forms its opinion based on contrasting mechanisms of imitation and rational calculation. The decision making model (DMM) implements imitating behavior by means of a network…

适应与自组织系统 · 物理学 2015-06-22 Malgorzata Turalska , Bruce J. West

We study continuous time Bertrand oligopolies in which a small number of firms producing similar goods compete with one another by setting prices. We first analyze a static version of this game in order to better understand the strategies…

最优化与控制 · 数学 2010-07-01 Andrew Ledvina , Ronnie Sircar