Lotka's seminal work (Lotka AJ, Proc. Natl. Acad. Sci. USA, 6 (1920) 410)" on certain
rhythmic relations" is already one hundred years old, but the research activity about pattern …

In this paper, we study the effects of reputation-based investment strategy on cooperation in
the spatial public goods games. The investment of one player to a particular group depends …

Innovation and evolution are two processes of paramount relevance for social and biological
systems. In general, the former allows the introduction of elements of novelty, while the latter …

When confronting the epidemics or pandemics, there often exists an interplay between
epidemic incidence and the vaccination strategies of individuals. Recently, the …

Imitation based on fitness comparison has long been a representative strategy updating
method in evolutionary game theory, with the pursuit of profit maximization at its core …

Varying environmental conditions affect relations between interacting individuals in social
dilemmas, thus affecting also the evolution of cooperation. Oftentimes these environmental …

Social behavior in human and animal populations can be studied as an evolutionary
process. Individuals often make decisions between different strategies, and those strategies …

The evolutionary dynamics remain largely unknown for spatial populations where
individuals are more likely to interact repeatedly. Under this settings, individuals can make …

Pursuing maximal profit is a general motivation for rational players to update their strategies
in evolutionary games. Players could either imitate the more successful neighbors or adjust …

The loyalty of individual strategies is an important factor affecting cooperative behavior in
human society. Previous researches on the loyalty have mostly focused on the loyalty of …