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Long-term human trajectory prediction is a challenging yet critical task in robotics and autonomous systems. Prior work that studied how to predict accurate short-term human trajectories with only unimodal features often failed in long-term…

Robotics · Computer Science 2024-05-31 Zhitian Zhang , Anjian Li , Angelica Lim , Mo Chen

Previous research has highlighted the importance of strong heterogeneity for the successful evolution of cooperation in games governed by pairwise interactions. Here we determine to what extent this is true for games governed by group…

Physics and Society · Physics 2011-12-21 Matjaz Perc

Established already in the Biblical times, the Matthew effect stands for the fact that in societies rich tend to get richer and the potent even more powerful. Here we investigate a game theoretical model describing the evolution of…

Physics and Society · Physics 2011-12-14 Matjaz Perc

Cooperative behavior among unrelated individuals in human and animal societies represents a most intriguing puzzle to scientists in various disciplines. Here we present a simple yet effective mechanism promoting cooperation under full…

Condensed Matter · Physics 2009-11-07 Gyorgy Szabo , Christoph Hauert

Common-pool resource governance requires users to cooperate and avoid overexploitation, but defection and free-riding often undermine cooperation. We model a human-environmental system that integrates dynamics of resource and users'…

Theoretical Economics · Economics 2024-01-23 Chengyi Tu , Renfei Chen , Ying Fan , Yongliang Yang

This paper investigates the evolution of strategic play where players drawn from a finite well-mixed population are offered the opportunity to play in a public goods game. All players accept the offer. However, due to the possibility of…

Populations and Evolution · Quantitative Biology 2017-09-14 Alexander G. Ginsberg , Feng Fu

The evolutionary dynamics of the Public Goods game addresses the emergence of cooperation within groups of individuals. However, the Public Goods game on large populations of interconnected individuals has been usually modeled without any…

Physics and Society · Physics 2015-05-20 J. Gómez-Gardeñes , M. Romance , R. Criado , D. Vilone , A. Sánchez

We present a spatial, individual-based predator-prey model in which dispersal is dependent on the local community. We determine species suitability to the biotic conditions of their local environment through a time and space varying fitness…

Populations and Evolution · Quantitative Biology 2008-07-21 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

Competition for a limited resource is the hallmark of many complex systems, and often, that resource turns out to be the physical space itself. In this work, we study a novel model designed to elucidate the dynamics and emergence in complex…

Physics and Society · Physics 2026-03-18 Ann Mary Mathew , V Sasidevan

We study the evolution of cooperation in public goods games on the square lattice, focusing on the effects that are brought about by different sizes of groups where individuals collect their payoffs and search for potential strategy donors.…

Physics and Society · Physics 2011-12-14 Attila Szolnoki , Matjaz Perc

We study diffusion-driven pattern-formation in networks of networks, a class of multilayer systems, where different layers have the same topology, but different internal dynamics. Agents are assumed to disperse within a layer by undergoing…

Physics and Society · Physics 2018-03-28 Andreas Brechtel , Philipp Gramlich , Daniel Ritterskamp , Barbara Drossel , Thilo Gross

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

Many classical models of collective behavior assume that emergent dynamics result from external and observable interactions among individuals. However, how collective dynamics in human populations depend on the internal psychological…

Physics and Society · Physics 2024-09-27 Alice C Schwarze , Mari Kawakatsu , Sarah Iams , Nina H Fefferman , Tahra L Eissa

Public organizations need innovative approaches for managing common goods and to explain the dynamics linking the (re)generation of common goods and organizational performance. Although system dynamics is recognised as a useful approach for…

General Economics · Economics 2021-02-09 A. Sardi , E. Sorano

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

Analysis of PDEs · Mathematics 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collective behavior. When assemblies of individuals seek to…

Dynamical Systems · Mathematics 2025-06-18 John S. McAlister , Nina H. Fefferman , Tadele A. Mengesha

In real-world social and economic systems, the provisioning of public goods generally entails continuous interactions among individuals, with decisions to cooperate or defect being influenced by dynamic factors such as timing, resource…

Social and Information Networks · Computer Science 2025-05-20 Gui Zhang , Xiaojin Xiong , Bin Pin , Minyu Feng , Matjaž Perc

We study pattern-forming instabilities in reaction-advection-diffusion systems. We develop an approach based on Lyapunov-Bloch exponents to figure out the impact of a spatially periodic mixing flow on the stability of a spatially…

Pattern Formation and Solitons · Physics 2010-11-15 A. V. Straube , A. Pikovsky

In this manuscript we explore the onset of cooperative traits in the Public Goods game. This well-known game involves N-agent interactions and thus reproduces a large number of social scenarios in which cooperation appears to be essential.…

Physics and Society · Physics 2014-10-22 Carlos Gracia-Lazaro , Jesus Gomez-Gardenes , Luis Mario Floria , Yamir Moreno

In this paper, we study two PDEs that generalize the urban crime model proposed by Short \emph{et al}. [Math. Models Methods Appl. Sci., 18 (2008), pp. 1249-1267]. Our modifications are made under assumption of the spatial heterogeneity of…

Analysis of PDEs · Mathematics 2016-06-01 Yu Gu , Qi Wang , Guangzeng Yi