Working Paper: A Nonlinear Sandwich Theorem
Abstract
We provide a Sandwich Theorem (König (1972)) for positively homogeneous functionals that satisfy additivity only on a restricted domain. Our relaxation of additivity is based on a binary relation called convex-conic symmetric preorder, whereby additivity is restricted to all couples of elements that belong to such relation. We then study applications of our nonlinear Sandwich Theorem, proving extension and envelope representation results. Finally, we consider some applications to comonotonicity, a key property in decision theory, risk measurement, and the theory of risk sharing.
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Lorenzo Maria Stanca
Assistant Professor of Economics
Greetings! I hold concurrent appointments as an Assistant Professor at Collegio Carlo Alberto and within the Department of Economics, Social Studies, Applied Mathematics and Statistics (ESOMAS) at the University of Turin. My academic focus is centered on economic theory, with a particular emphasis on decision theory.