Matching Games, Routing Games and Cooperative Games
Note: this is a collection of resources for a seminar. The goal of a seminar
is to spike your interest and not necessarily for you to learn
anything. For the learning resources please take a look at the
corresponding topics listed at the bottom of this page.
Emergent Behavior in Complex Environments: Matching Games, Routing Games and Cooperative Games.
Abstract
Modelling macro behavior is an important goal of a lot of applied mathematical and statistical fields.
In Game Theory it is in fact the micro behavior that is modelled so that the macro behavior can be observed.
This is an important subject that extends to applications not only in Mathematics but Economics, Biology,
Ecology and Military Sciences.
This final talk of the series will consider 3 further fields of game theory, that answer specific types of questions:
- Matching games: how create equilibrium matchings between individuals in a population?
This has applications in resident matchings in hospitals but also in organ exchange.
- Routing games: how will an infinite populations of agents adapt to congestion?
This has applications in transport routing.
- Cooperative games: how does a collection of agents share a common good?
This has applications to market dynamics as well as machine learning.
Assets