Paolo Coletti, Francesca Marta Lilja Di Lascio, Alessandro Fedele, Enrico Foscolo, Angelica Gianfreda, Andreas Heinrich Hamel, Yuriy Kaniovskyi, Francesco Ravazzolo, Steven Eric Stillman, Carola Schrage, Stefan Franz Schubert, Alex Weissensteiner.
The Research Cluster encompasses research in the theoretical foundation and the methodological aspects that are relevant for the empirical study of the economy/economic life/economics.
Its research activities can be classified into to the following interconnected domains:
Involving experts in methodology as well as applied scientists, the research agenda addresses issues that are at the core of the current scientific debate, affecting society, individuals, institutions and markets.
Giovanni Crespi, Matteo Rocca, Fabian Flores-Bazan
'Economics needs a scientific revolution.' (J.-P. Bouchaud in nature, Oct. 2008). What could mathematics contribute?
In the overwhelming majority of publications in mathematical economics and mathematical finance it is assumed that economic agents (consumers, producers, traders, even regulators) have total preferences for the objects they deal with. Which means that lotteries, portfolios, commodity bundles, assets and liabilities (random or not random) can be ranked in the same way as real numbers: one can always say which of two numbers is greater than or equal to the other.
In the research project the following hypothesis are discussed:
Specifically, the project aims at developing a new axiomatic framework for a “new” mathematics for economics, following the set optimization approach presented in:
A.H. Hamel, F. Heyde, A. Loehne, B. Rudloff and C. Schrage (editors), Set Optimization and Applications - The State of the Art, Springer-Verlag, Proceedings in Mathematics and Statistics 151, 2015.