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- M H Vainstein, J J Arenzon
- Physical review. E, Statistical, nonlinear, and…
- 2001

The Prisoner's dilemma is the main game theoretical framework in which the onset and maintainance of cooperation in biological populations is studied. In the spatial version of the model, we study the robustness of cooperation in heterogeneous ecosystems in spatial evolutionary games by considering site diluted lattices. The main result is that, due to… (More)

- Mendeli H Vainstein, Ana T C Silva, Jeferson J Arenzon
- Journal of theoretical biology
- 2007

We explore the minimal conditions for sustainable cooperation on a spatially distributed population of memoryless, unconditional strategies (cooperators and defectors) in presence of unbiased, non-contingent mobility in the context of the Prisoner's Dilemma game. We find that cooperative behavior is not only possible but may even be enhanced by such an… (More)

- Heitor C Marques Fernandes, Jeferson J Arenzon, Yan Levin
- The Journal of chemical physics
- 2007

Monte Carlo simulations are used to study lattice gases of particles with extended hard cores on a two-dimensional square lattice. Exclusions of one and up to five nearest neighbors (NN) are considered. These can be mapped onto hard squares of varying side length, lambda (in lattice units), tilted by some angle with respect to the original lattice. In… (More)

- Zhen Wang, Zhen Wang, Xiaodan Zhu, Jeferson J Arenzon
- Physical review. E, Statistical, nonlinear, and…
- 2012

We study the evolution of cooperation in evolutionary spatial games when the payoff correlates with the increasing age of players (the level of correlation is set through a single parameter, α). The demographic heterogeneous age distribution, directly affecting the outcome of the game, is thus shown to be responsible for enhancing the cooperative behavior… (More)

- Estrella A Sicardi, Hugo Fort, Mendeli H Vainstein, Jeferson J Arenzon
- Journal of theoretical biology
- 2009

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, sometimes promoting, sometimes inhibiting cooperation. Here we show that random dilution and mobility may suppress the… (More)

- Y Levin, J J Arenzon, M Sellitto
- 2001

– We present an analytical approach to the out of equilibrium dynamics of a class of kinetic lattice gases under gravity. The location of the jamming transition, the critical exponents, and the scaling functions characterizing the relaxation processes are determined. In particular, we find that logarithmic compaction and simple aging are intimately related… (More)

- Charlotte Rulquin, Jeferson J Arenzon
- Physical review. E, Statistical, nonlinear, and…
- 2014

The rock-paper-scissors game and its generalizations with S>3 species are well-studied models for cyclically interacting populations. Four is, however, the minimum number of species that, by allowing other interactions beyond the single, cyclic loop, breaks both the full intransitivity of the food graph and the one-predator, one-prey symmetry. Lütz et al.… (More)

- Alessandra F Lütz, Sebastián Risau-Gusman, Jeferson J Arenzon
- Journal of theoretical biology
- 2013

Intransitivity is a property of connected, oriented graphs representing species interactions that may drive their coexistence even in the presence of competition, the standard example being the three species Rock-Paper-Scissors game. We consider here a generalization with four species, the minimum number of species allowing other interactions beyond the… (More)

- Alberto Sicilia, Jeferson J Arenzon, Alan J Bray, Leticia F Cugliandolo
- Physical review. E, Statistical, nonlinear, and…
- 2007

We study the distribution of domain areas, areas enclosed by domain boundaries ("hulls"), and perimeters for curvature-driven two-dimensional coarsening, employing a combination of exact analysis and numerical studies, for various initial conditions. We show that the number of hulls per unit area, n_{h}(A,t)dA , with enclosed area in the interval (A,A+dA) ,… (More)

- Heitor C Marques Fernandes, Yan Levin, Jeferson J Arenzon
- Physical review. E, Statistical, nonlinear, and…
- 2007

A simple equation of state is derived for a hard-core lattice gas of side length lambda , and compared to the results of Monte Carlo simulations. In the disordered fluid phase, the equation is found to work very well for a two-dimensional lattice gas of hard squares and reasonably well for the three-dimensional gas of hard cubes.