5 papers
Reducing the Large Set Threshold for Oertel's Conjecture on the Mixed-Integer Volume
Andrés Cristi, David Salas
In 1960, Grünbaum proved that for any convex body and every halfspace containing the centroid of , one has that the volume of is at least a…
Steering Noncooperative Games Through Conjecture Design
Francesco Morri, Hélène Le Cadre, David Salas +1
In dynamic noncooperative games, each player makes conjectures about other players' reactions before choosing a strategy. However, resulting equilibria may be multiple and do not a…
Introduction to Bilevel Optimization: A perspective from Variational Analysis
David Salas
Lecture Notes based on the course given at Toulouse School of Economics, on Fall 2024. It contains a quick introduction to the field of bilevel optimization, following a perspectiv…
Lipschitz continuity of expected value under decision-dependent uncertainty with moving support
John Cotrina, Gonzalo Flores, David Salas +1
This paper addresses the problem of stochastic optimization with decision-dependent uncertainty, a class of problems where the probability distribution of the uncertain parameters…
Mean-field Concentration of Opinion Dynamics in Random Graphs
Javiera Gutiérrez-RamÃrez, David Salas, Victor Verdugo
Opinion and belief dynamics are a central topic in the study of social interactions through dynamical systems. In this work, we study a model where, at each discrete time, all the…