This talk will focus on theory and practice of combinatorial auctions and their application to thesale of wireless spectrum licenses. As new wireless applications emerge worldwide, the wireless industry and government regulators are looking to reallocate wireless spectrum to better match the demand. Combinatorial auctions can play an effective r...
Creator:
Hajek, Bruce (University of Illinois at Urbana-Champaign)
Created:
2015-10-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In coevolutionary networks, the network topology evolves in feedback with dynamical processes on the network nodes. Nodes have state variables that react to the network topology, and the network topology in turn reacts to the nodal state variables. Oftentimes there is a timescale separation, which simplifies the analysis of such systems. A more ...
Creator:
Shamma, Jeff (King Abdullah University of Science & Technology)
Created:
2015-10-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We discuss the long time average of Mean Field Games systems as the time horizon tends to infinity and the convergence towards a stationary ergodic mean field game, both in case of local and nonlocal coupling in the cost functional.We also prove that convergence holds at exponential rate, exploiting two completely different approaches; in case o...
Creator:
Porretta, Alessio (Seconda Università di Roma 'Tor Vergata')
Created:
2012-11-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Mean field games are everywhere in economics. Why? Because heterogeneity is everywhere. For example, macroeconomists often use heterogeneous agent models to understand the interactions between income and wealth distribution and aggregates like GDP. Classic examples are papers by Aiyagari (1994) and Krusell and Smith (1998). But the mathematical ...
Creator:
Moll, Benjamin (Princeton University)
Created:
2012-11-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we will discuss a number of techniques to establish existence of smooth solutions of a class of mean-field games which have a variational structure.We start by showing that a number of mean-field games with local dependence on theplayer's density can be regarded as Euler-Lagrange equations for certainfunctionals. These functionals a...
Creator:
Gomes, Diogo (Instituto Superior Tecnico)
Created:
2012-11-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
