Statistical physics of social dynamics

C Castellano, S Fortunato, V Loreto - Reviews of modern physics, 2009 - APS
Statistical physics has proven to be a fruitful framework to describe phenomena outside the
realm of traditional physics. Recent years have witnessed an attempt by physicists to study …

Addition–deletion networks

E Ben-Naim, PL Krapivsky - Journal of Physics A: Mathematical …, 2007 - iopscience.iop.org
We study structural properties of growing networks where both addition and deletion of
nodes are possible. Our model network evolves via two independent processes. With rate r …

Scaling in tournaments

E Ben-Naim, S Redner, F Vazquez - Europhysics letters, 2007 - iopscience.iop.org
We study a stochastic process that mimics single-game elimination tournaments. In our
model, the outcome of each match is stochastic: the weaker player wins with upset …

Randomness in competitions

E Ben-Naim, NW Hengartner, S Redner… - Journal of Statistical …, 2013 - Springer
We study the effects of randomness on competitions based on an elementary random
process in which there is a finite probability that a weaker team upsets a stronger team. We …

Физика и социофизика. Ч. 3. Квазифизическое моделирование в социологии и политологии. Некоторые модели лингвистики, демографии, математической …

ЮЛ Словохотов - Проблемы управления, 2012 - cyberleninka.ru
Рассмотрены зарубежные и российские работы по социофизике: новому разделу
физики, изучающему процессы в человеческом обществе. В ч. 1 обсуждены влияние …

Nash equilibrium and evolutionary dynamics in semifinalists' dilemma

SK Baek, SW Son, HC Jeong - Physical Review E, 2015 - APS
We consider a tournament among four equally strong semifinalists. The players have to
decide how much stamina to use in the semifinals, provided that the rest is available in the …

Quenched law of large numbers and quenched central limit theorem for multiplayer leagues with ergodic strengths

J Borga, B Cavalli - The Annals of Applied Probability, 2022 - projecteuclid.org
We propose and study a new model for competitions, specifically sports multi-player leagues
where the initial strengths of the teams are independent iid random variables that evolve …

Merger dynamics in three-agent games

T Rador, R Derici - The European Physical Journal B, 2011 - Springer
We present the effect of mergers, a term which we use to mean a temporary alliance, in the
dynamics of the three-agent model studied by Ben-Naim, Kahng and Kim and by Rador and …

Dynamics of Nearest-Neighbour Competitions on Graphs

T Rador - Journal of Statistical Physics, 2017 - Springer
Considering a collection of agents representing the vertices of a graph endowed with integer
points, we study the asymptotic dynamics of the rate of the increase of their points according …

Two-Agent Games on Graphs

T Rador - arxiv preprint arxiv:1701.04771, 2017 - arxiv.org
We study the dynamics of evolution of points of agents placed in the vertices of a graph
within the rules of two-agent units of competition where an edge is randomly chosen and the …