CORDIS Project
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This project investigates the application of algebraic structures in game theory, focusing on Riesz spaces and MV-algebras. It aims to model strategic games and coalition scenarios, employing advanced mathematical methods to explore equilibria and fairness in decision-making processes.
The main goal of this project is to study ordered algebraic structures with regard to their applications in game theory.
Theory of Riesz spaces, groups, and MV-algebras provide the tools necessary for modeling important aspects of mathematical games, such as economic rationality, strategic invariance, or fairness.
This is already witnessed by many parts of game theory: for example, Aumann-Shapley value is a positive equivariant linear operator into the Riesz space of measures and MV-algebras mod…
UNIVERSITA DEGLI STUDI DI MILANO
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