Solving climate change is one of the defining issues of this century.
Society, companies and civil society wants to know how to reduce
emissions effectively and fairly. This project entails working with
numerical models integrating the climate, economic and energy systems
(e.g. https://www.witchmodel.org/https://github.com/witch-team). These models are non-linear optimization, based on a game-theoretic set
up. The project will aim to integrated different modeling tools,
develop algorithms and evaluate strategies to decarbonize the world
Massimo Tavoni - Dipartimento di Ingegneria Gestionale
This project aims to apply tools of AI to solving the climate crises (see for example https://www.climatechange.ai/). Candidates will use machine learning methods to different data sets, including climate and weather, social media and smart meter electricity readings. The aim is to empirical study how to motivate people and companies to reduce their carbon footprint.
The aim of the thesis is the analysis of a variant of the classical safe landing optimal control problem in aerospace engineering. Our model consists in studying the safe landing of a hybrid gas-electric drone. Assuming that the drone has a failure and that the thrust (representing the control) can act in both vertical directions, the target is to land safely by minimizing the time. In dependence of the initial data (height, velocity, and fuel), we aim to analyze the existence of an optimal control, and its explicit form, or the nonexistence of a safe landing strategy due to the lack of fuel or for heights/velocities for which also a total braking is insufficient to stop the drone.
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.
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.
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.