Game theory is one of the key paradigms behind many scientific disciplines from biology to
behavioral sciences to economics. In its evolutionary form and especially when the …

Game theory provides a general mathematical background to study the effect of pair
interactions and evolutionary rules on the macroscopic behavior of multi-player games …

Using several variants of a stochastic spatial model introduced by Silvertownet al., we
investigate the effect of spatial distribution of individuals on the outcome of competition. First …

In the children's game of rock–scissors–paper, players each choose one of three strategies.
A rock beats a pair of scissors, scissors beat a sheet of paper and paper beats a rock, so the …

In the models we will consider, space is represented by a grid of sites that can be in one of a
finite number of states and that change at rates that depend on the states of a finite number …

Taxes are an essential and uniformly applied institution for maintaining modern societies.
However, the levels of taxation remain an intensive debate topic among citizens. If each …

It is not immediately clear how costly behavior that benefits others evolves by natural
selection. By saving on inherent costs, individuals that do not contribute socially have a …

Competing strategies in an evolutionary game model, or species in a biosystem, can easily
form a larger unit which protects them from the invasion of an external actor. Such a …

We study a class of the stochastic May-Leonard models, with three species dominating each
other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We …

We discuss a simple implicit‐space model for the competition of trees and grasses in an
idealized savanna environment. The model represents patch occupancy dynamics within …