Stochastic evolutionary game dynamics in hierarchy are very popular in economics and in management sciences. This study extends the model of stochastic evolutionary game dynamics. This paper highlights hierarchy selection model and we show that the hierarchy selection games are more stable without structures in this paper. Furthermore, an example in industrial organization is given to rationall...

A new mathematical model for evolutionary games on graphs is proposed to extend the classical replicator equation to finite populations of players organized on a network with generic topology. Classical results from game theory, evolutionary game theory and graph theory are used. More specifically, each player is placed in a vertex of the graph and he is seen as an infinite population of replic...

In this paper, a well-known evolutionary dynamics, replicator dynamics, is used to model the dynamics of an immune network. A doubly symmetric game is associated to an immune network by this model, which implies some optimal behavior throughout time under replicator dynamics. Stability of an immune network is guaranteed by such dynamics. Two types of immune networks were modeled. In addition, a...

There is a long history of sharing models between evolutionary biology and economics. Most famous is of course the introduction of game theory from economics into biology, which was then transformed into evolutionary game theory and re-imported into economics (Grüne-Yanoff 2011). Another area where both biology and economics have things to say is on cooperation. Both evolutionary biology and ra...

The problem of dynamic spectrum sharing in a cognitive radio network where multiple bounded rational secondary users compete with each other is addressed. The evolutionary game theory is presented to investigate the dynamic strategies of secondary users. Using replicated dynamics, the proposed game is converging to the evolutionary stable equilibrium. Moreover, a punishment mechanism is introdu...

in this paper, a new approach based on game theory has been proposed to multi responses problem optimization. game theory is a useful tool for decision making in the conflict of interests between intelligent players in order to select the best joint strategy for them through selecting the best joint desirability. present research uses the game theory approach via definition of each response as ...

Abstract: Innovations, commercialized by new or old established firms, located at the core of industrial renewal process. The innovation concept has suffered transformations, along with the evolution of the models that try to explain and understand the innovation process. The innovative process corresponds to all activities that generate technological changes and the dynamic interaction between...

Evolutionary game theory can be considered as an extension of the theory of evolutionary optimisation in that two or more organisms (or more generally, units of replication) tend to optimise their properties in an interdependent way. Thus, the outcome of the strategy adopted by one species (e.g., as a result of mutation and selection) depends on the strategy adopted by the other species. In thi...

Evolutionary dynamics are strongly affected by population structure. The outcome of an evolutionary process in a well-mixed population can be very different from that in a structured population. We introduce a powerful method to study dynamical population structure: evolutionary set theory. The individuals of a population are distributed over sets. Individuals interact with others who are in th...