Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We present here a generic stochastic model which combines the growth dynamics of the population and its internal evolution. Our model thereby accounts for the fact that both evolutionary and growth d...

This introduction provides the reader with a basic knowledge about the fascinating field of evolutionary game theory. After presenting the mathematical notion of games, the two probably most important approaches to analyze a game are discussed. Each new concept is briefly discussed theoretically and than applied to the Hawk-Dove-Game.

In this and an accompanying paper we review the use of game theoretical concepts in cell biology and molecular biology. This review focuses on the subcellular level by considering viruses, genes, and molecules as players. We discuss in which way catalytic RNA can be treated by game theory. Moreover, genes can compete for success in replication and can have different strategies in interactions w...

In two papers we review game theory applications in biology below the level of cognitive living beings. It can be seen that evolution and natural selection replace the rationality of the actors appropriately. Even in these micro worlds, competing situations and cooperative relationships can be found and modeled by evolutionary game theory. Also those units of the lowest levels of life show diff...

Escola Tècnica Superior d’Enginyeria Departament d’Enginyeria Informàtica i Matèmatiques Master of Science in Artificial Intelligence Evolutionary game theory in complex interconnected networks by Joan T. Matamalas Llodrà Keyword: Complex Networks, Game Theory, Evolutionary Dynamics, Evolutionary Game Theory, Multilayer Networks, Interconnected Networks, Prisoners Dilemma, Stag Hunt Cooperation...

Evolutionary games have considerable unrealized potential for modeling substantive economic issues. They promise richer predictions than orthodox game models but often require more extensive speci®cations. This paper exposits the speci®cation of evolutionary game models and classi®es the possible asymptotic behavior for one and two dimensional models.

This paper explores ramifications of quasirational behavior in capital markets. Despite the academic literature asserting that financial markets are efficient and humans are rational agents, there is a widespread discontentment among practitioners and a growing body of researchers that neither of those premises is valid. The increasing amount of empirical evidence against perfectly efficient ca...

Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a mathematical treatment of the costs and benefits of decisions can predict the optimal strategy in simple settings, more realistic settings such as finite populations, n...

We introduce a model for studying the evolutionary dynamics of Poker. Notably, despite its wide diffusion and the raised scientific interest around it, Poker still represents an open challenge. Recent attempts for uncovering its real nature, based on statistical physics, showed that Poker in some conditions can be considered as a skill game. In addition, preliminary investigations reported a ne...