William D. Hamilton famously stated that “human life is a many person game and not just a disjoined collection of two person games”. However, most of the theoretical results in evolutionary game theory have been developed for two player games. In spite of a multitude of examples ranging from humans to bacteria, multi-player games have received less attention than pairwise games due to their inh...

Evolutionary dynamics model the changes in state of a population and strategies used by individuals population. One gets different based on types dependence fitness or revision protocols. In this paper we define Perturbed Best Response (PBR), Brown-von Neumann-Nash (BNN), Replicator Projection for stochastic games, using framework evolutionary games. We also class stable discuss their propertie...

Evolutionary game theory has become one of the most diverse and far reaching theories in biology. Applications of this theory range from cell dynamics to social evolution. However, many applications make it clear that inherent non-linearities of natural systems need to be taken into account. One way of introducing such non-linearities into evolutionary games is by the inclusion of multiple play...

This chapter surveys some evolutionary games used in biological sciences. These include the Hawk-Dove game, the Prisoner’s Dilemma, Rock– Paper–Scissors, the war of attrition, the Habitat Selection game, predatorprey games, and signalling games.

Traditional evolutionary game theory explores frequency-dependent selection in well-mixed populations without spatial or stochastic effects. But recently there has been much interest in studying the evolutionary game dynamics in spatial settings, on lattices and other graphs. Here, we present an analytic approach for the stochastic evolutionary game dynamics on the simplest possible graph, the ...

S (in alphabetic order by speaker surname) Speaker: Tibor Antal (Program for Evolutionary Dynamics, Harvard University, 1 Brattle Square, Suite 6, Cambridge, MA 02138, USA. E-mail: [email protected]) Title: Who laughs last? Perturbation theory for games Abstract: Evolutionary game theory studies frequency dependent selection. The fitness of a strategy is not constant, but depends on the rel...

Inspired by the use of hybrid cellular automata in modeling cancer, we introduce a generalization of evolutionary games in which cells produce and absorb chemicals, and the chemical concentrations dictate the death rates of cells and their fitnesses. Our long term aim is to understand how the details of the interactions in a system with n species and m chemicals translate into the qualitative b...

Studies of cooperation have traditionally focused on discrete games such as the well-known prisoner's dilemma, in which players choose between two pure strategies: cooperation and defection. Increasingly, however, cooperation is being studied in continuous games that feature a continuum of strategies determining the level of cooperative investment. For the continuous snowdrift game, it has been...