We normalize the combinatorial Laplacian of a graph by the degree sum, look at its eigenvalues as a probability distribution and then study its Shannon entropy. Equivalently, we represent a graph with a quantum mechanical state and study its von Neumann entropy. At the graph-theoretic level,...

We develop a formalism to study linearized perturbations around the equilibria of a pure exchange economy. With the use of mean field theory techniques, we derive equations for the flow of products in an economy driven by heterogeneous preferences and probabilistic interaction between agents. We...

The exposure of farmers to different (and increasing) risks has been recognized by the EU policy, which supports several risk management tools through the Common Agricultural Policy (CAP). Despite the vulnerability of the agricultural sector, and the attention paid at the EU level, the uptake of...

European farmers face increasing income uncertainty and the debate is growing on the role of insurance schemes and of public support in this field. This debate is further stimulated by the perspective of introducing instruments to cope with risk also in the Common Agricultural Policy. Therefore,...

Farmers face increasing income uncertainty and the debate is growing on the role of insuranceschemes and of public support in this field.This paper applies a PMP modelling approach that takes into explicit consideration riskaversion behaviour to test its applicability to evaluating the potential...