249 citations · 790 across the 59 of their papers we have counts for
6 papers · 1 filter
ZERO: Playing Mathematical Programming Games
Gabriele Dragotto, Sriram Sankaranarayanan, Margarida Carvalho +1
We present ZERO, a modular and extensible C++ library interfacing Mathematical Programming and Game Theory. ZERO provides a comprehensive toolkit of modeling interfaces and algorit…
Capacity Planning in Stable Matching
Federico Bobbio, Margarida Carvalho, Andrea Lodi +2
Motivated by the shortage of seats that the Chilean school choice system is facing, we introduce the problem of jointly increasing school capacities and finding a student-optimal a…
Computing Nash equilibria for integer programming games
Margarida Carvalho, Andrea Lodi, João Pedro Pedroso
The recently defined class of integer programming games (IPG) models situations where multiple self-interested decision makers interact, with their strategy sets represented by a f…
Multi-agent Assortment Optimization in Sequential Matching Markets
Alfredo Torrico, Margarida Carvalho, Andrea Lodi
Motivated by the challenges faced by choice-based matching platforms, in this work, we study a generalization of the foundational model introduced by Ashlagi et al. (2022). Specifi…
Game theoretical analysis of Kidney Exchange Programs
Margarida Carvalho, Andrea Lodi
The goal of a kidney exchange program (KEP) is to maximize number of transplants within a pool of incompatible patient-donor pairs by exchanging donors. A KEP can be modelled as a…
When Nash Meets Stackelberg
Margarida Carvalho, Gabriele Dragotto, Felipe Feijoo +2
This article introduces a class of games among players (), namely, a class of simultaneous non-cooperative games where the players solve sequential Stac…