Evolutionary game theory (G. Arioli)

Evolutionary game theory was created 50 years ago to apply ideas of game theory to evolving populations in biology. It defines a framework into which Darwinian competition and evolution can be modelled.

More recently, it found a broad range of applications, modelling the evolution of one of more populations whose behaviour adapts in time to achieve the best results.

Thesis in evolutionary game theory can consist in the development of models, the study of well established models, or a combination of both.

Modeling of diseases with game theory (R. Lucchetti)

Cancer can be seen as a (non cooperative) game between good (healthy) cells and bad (cancerous) cells.

The interaction between therapies and cancerous cells can also be modelled as a game.

Pathogens resistance to antibiotics can also be modelled as a game.

Modeling of sustainability with game theory (G. Valente)

The challenges of sustainability require a rational equilibrium among different subjects, e.g. economics, environment and society. The main issue is how to satisfy the needs of the present without compromising future generations.

Mathematical models can help preserving Earth while ensuring profit and well being of everybody, in a complex game of socio-political interactions.

Game theory in particular deals with interactive decisions, and as such it can help sustainability by pointing out equilibria which optimise the use of natural resources.

© Politecnico di Milano 2021