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The effects of an unconditional move rule in the spatial Prisoner's Dilemma, Snowdrift and Stag Hunt games are studied. Spatial structure by itself is known to modify the outcome of many games when compared with a randomly mixed population,…

Populations and Evolution · Quantitative Biology 2009-02-25 Estrella A. Sicardi , Hugo Fort , Mendeli H. Vainstein , Jeferson J. Arenzon

Evolutionary competition often occurs simultaneously at multiple levels of organization, in which traits or behaviors that are costly for an individual can provide collective benefits to groups to which the individual belongs. Building off…

Populations and Evolution · Quantitative Biology 2024-11-14 Konstantinos Alexiou , Daniel B. Cooney

In this work we present and analyze a fluid-mechanical model of competition (scavenging) amongst $N$ liquid droplets (individual competitors). The eventual outcome of this competition depends sensitively on the average resource (volume) per…

Fluid Dynamics · Physics 2019-02-18 Thomas C. Hagen , Paul H. Steen

For every sports tournament, it is an important requirement to provide contestants with the appropriate incentives to perform. However, incentive compatibility is usually considered an all or nothing (binary) concept in the academic…

Physics and Society · Physics 2022-05-26 László Csató

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…

Populations and Evolution · Quantitative Biology 2007-05-23 Franco Bagnoli , Carlo Guardiani

Many real-world auctions are dynamic processes, in which bidders interact and report information over multiple rounds with the auctioneer. The sequential decision making aspect paired with imperfect information renders analyzing the…

Computer Science and Game Theory · Computer Science 2023-12-21 Vinzenz Thoma , Michael Curry , Niao He , Sven Seuken

In this paper, we focus on how to dynamically allocate a divisible resource fairly among n players who arrive and depart over time. The players may have general heterogeneous valuations over the resource. It is known that the exact…

Computer Science and Game Theory · Computer Science 2018-04-19 Bo Li , Wenyang Li , Yingkai Li

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

Populations and Evolution · Quantitative Biology 2020-02-19 M. M. Tehrani , S. Soltanieh

This paper is concerned with a mathematical model of competition for resource where species consume noninteracting resources. This system of differential equations is formally obtained by renormalizing the MacArthur's competition model at…

Dynamical Systems · Mathematics 2020-07-27 Wenli Cai , Hailiang Liu

This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front…

Analysis of PDEs · Mathematics 2017-03-08 Emmanuel Risler

We study the effect of competition between short-term synaptic depression and facilitation on the dynamical properties of attractor neural networks, using Monte Carlo simulation and a mean field analysis. Depending on the balance between…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. J. Torres , J. M. Cortes , J. Marro , H. J. Kappen

This paper presents a comprehensive analytical study of two competitive cognitive operators' spectrum leasing and pricing strategies, taking into account operators' heterogeneity in leasing costs and users' heterogeneity in transmission…

Networking and Internet Architecture · Computer Science 2016-11-17 Lingjie Duan , Jianwei Huang , Biying Shou

We develop a theory of distributive competition under redistricting that explains both electoral outcomes and the equilibrium allocation of policy benefits by endogenizing voter pivotality. In a multi-district model with primaries, general…

General Economics · Economics 2026-04-03 Thomas Groll , Sharyn O'Halloran

This paper aims to explore the impact of tournament design on the incentives of the contestants. We develop a simulation framework to quantify the potential gain and loss from attacking based on changes in the probability of reaching the…

General Economics · Economics 2025-09-17 László Csató

In order to understand how impulsive interventions and environmental perturbations affect dynamics of competitors, we focus on a diffusive competition model with free boundaries and periodic pulses in a temporally heterogeneous environment…

Analysis of PDEs · Mathematics 2023-09-11 Yue Meng , Zhigui Lin , Carlos Alberto Santos

Multi-agent social dilemmas, such as the tragedy of the commons, capture settings where individual incentives conflict with collective well-being, making these systems highly vulnerable to collapse under disruptions. In this context, this…

Multiagent Systems · Computer Science 2026-05-21 Manuela Chacon-Chamorro , Luis Felipe Giraldo , Nicanor Quijano

Patterns of wins and losses in pairwise contests, such as occur in sports and games, consumer research and paired comparison studies, and human and animal social hierarchies, are commonly analyzed using probabilistic models that allow one…

Physics and Society · Physics 2025-11-03 Maximilian Jerdee , M. E. J. Newman

We show how highly-diverse ecological communities may display persistent abundance fluctuations, when interacting through resource competition and subjected to migration from a species pool. This turns out to be closely related to the ratio…

Statistical Mechanics · Physics 2020-02-12 Itay Dalmedigos , Guy Bunin

Competition networks are formed via adversarial interactions between actors. The Dynamic Competition Hypothesis predicts that influential actors in competition networks should have a large number of common out-neighbors with many other…

Social and Information Networks · Computer Science 2019-09-17 Anthony Bonato , Nicole Eikmeier , David F. Gleich , Rehan Malik

In this paper we study variations of the standard Hotelling-Downs model of spatial competition, where each agent attracts the clients in a restricted neighborhood, each client randomly picks one attractive agent for service. Two utility…

Computer Science and Game Theory · Computer Science 2016-11-21 Weiran Shen , Zihe Wang
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