BRUNETTI , Ilaria

Evolutionary Game Theory (EGT) constitutes a simple framework to study the behavior of large populations whose individuals are repeatedly engaged in pairwise strategic interactions. While in standard EGT, the interacting individual is the player, choosing the actions to play in order to maximize its own fitness, in the first part of this...

Evolutionary game theory is a relatively young mathematical theory that aims to formalize in mathematical terms evolution models in biology. In recent years this paradigm has penetrated more and more into other areas such as the linguistics, economics and engineering. The current theory of evolutionary game makes an implicit assumption that the...

In this paper we study one of the most well known examples of evolutionary games, the Hawk and Dove problem, in the dynamic framework of Markov Decision Evolutionary Games. We associate with each player an extra individual state depending on the age and on the strength of the individual. This state may change as a function of the actions taken...

In this paper we study one of the most well known examples of evolutionary games, the Hawk and Dove problem, in the dynamic framework of Markov Decision Evolutionary Games. We associate with each player an extra individual state depending on the age and on the strength of the individual. This state may change as a function of the actions taken...

Evolutionary game theory is a relatively young mathematical theory that aims to formalize in mathematical terms evolution models in biology. In recent years this paradigm has penetrated more and more into other areas such as the linguistics, economics and engineering. The current theory of evolutionary game makes an implicit assumption that the...

In this work we want to extend the EGT models by introducing the concept of individual state. We analyze a particular simple case, in which we associate a state to each player, and we suppose that this state determines the set of available actions. We consider deterministic stationary policies and we suppose that the choice of a policy...

Standard Evolutionary Game Theory framework is a useful tool to study large interacting systems and to understand the strategic behavior of individuals in such complex systems. Adding an individual state to model local feature of each player in this context, allows one to study a wider range of problems in various application areas as...

We study a non-zero sum game considered on the solutions of a hybrid dynamical system that evolves in continuous time and that is subjected to abrupt changes of parameters. The changes of the parameters are synchronized with (and determined by) the changes of the states/actions of two Markov decision processes, each of which is controlled by a...

We shall consider two competition problems between service providers with asymmetric information. The utility of each one of them depends on the demand it gets and in its price. The demand itself is also a function of the prices of the providers. In both problems there is one provider (player 1) that has more information than the other (player...

— Standard Evolutionary Game framework is a useful tool to study large interacting systems and to understand the strategic behavior of individuals in such complex systems. Adding an individual state to model local feature of each player in this context, allows one to study a wider range of problems in various application areas as networking,...