7 citations · 21 across the 6 of their papers we have counts for
7 papers
Insights on the Theory of Robust Games
Giovanni Paolo Crespi, Davide Radi, Matteo Rocca
A robust game is a distribution-free model to handle ambiguity generated by a bounded set of possible realizations of the values of players' payoff functions. The players are worst…
Set Relations and Approximate Solutions in Set Optimization
Giovanni Crespi, Andreas H Hamel, Matteo Rocca +1
Via a family of monotone scalar functions, a preorder on a set is extended to its power set and then used to construct a hull operator and a corresponing complete lattice of sets.…
Weak Minimizers, Minimizers and Variational Inequalities for set valued Functions. A blooming wreath?
Giovanni P. Crespi, Carola Schrage
In the literature, necessary and sufficient conditions in terms of variational inequalities are introduced to characterize minimizers of convex set valued functions with values in…
Variational inequalities characterizing weak minimality in set optimization
Giovanni P. Crespi, MatteoRocca, Carola Schrage
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions in terms of scalarized variational inequalities of Stampacchia and Minty type, re…
A Minty variational principle for set optimization
Giovanni P. Crespi, Andreas H. Hamel, Carola Schrage
Extremal problems are studied involving an objective function with values in (order) complete lattices of sets generated by so called set relations. Contrary to the popular paradig…
Applying Set Optimization to Weak Efficiency
Giovanni P. Crespi, Carola Schrage
Since the seminal papers by Giannessi, an interesting topic in vector optimization has been the characterization of (weak) efficiency thorough Minty and Stampacchia type variationa…