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Two mini-courses will be held during the meeting, no extra registration is needed.

Emergence and self-organization in complex systems

Lecturer: Pierre Degond, Institut de Mathematiques, CNRS & Universite Paul Sabatier, Toulouse, France

Presentation part 1, part 2 and part 3

Complex systems are characterized by the spontaneous formation of spatio-temporal structures as a result of simple local interactions between agents without leaders. In this series of talks, we will review some questions related to the establishment of macroscopic models from the underlying microscopic dynamics. Indeed, usual methods of kinetic theory fail, due to the lack of conservation properties and the build-up of statistical correlations and the design of new methodologies is necessary to bypass these obstacles. We will also investigate the self-organization capabilities of complex systems. In particular the non-overlapping constraint, which prevents particles of finite size to overlap, is a powerful morphogenetic force. We will discuss both theoretical and numerical for this question. The plan of the three one hours lectures is as follows:

1. Overview ; Macroscopic models for self-propelled particles
2. Self-organization vs chaos assumption
3. Morphogenesis driven by non-overlapping constraint

Evolutionary Game Theory - An Introduction

Lecturer : Arne Traulsen, Max Planck Institute for Evolutionary Biology



The dynamics of evolving systems can be described by evolutionary game theory. In the simplest case, the dynamics is given by a set of (typically nonlinear) differential equations that describe how the abundance of different types change over time. More recently, research has focused on stochastic dynamics, but also on spatially extended populations on lattices and networks. Evolutionary game theory can be applied to a variety of fields, including social dynamics and also population genetics. As the most popular application, I will discuss the evolution of cooperation: How can a behavior evolve that increases the fitness of others at an expense to one self? In addition, it will be shown how the children’s game of rock-paper-scissors can be applied in social dynamics, in ecology as well as in a genetic context.

Suggested reading:

A short review article:
Nowak & Sigmund, Evolutionary Dynamics of Biological Games, Science 303, 793-799 (2004)

A more technical introduction on stochastic game dynamics:
Traulsen & Hauert, Stochastic evolutionary game dynamics, in Reviews of nonlinear dynamics and complexity, Wiley-VCH, p.29 (2009) - available at http://arxiv.org/pdf/0811.3538

A entry-level textbook:
Nowak, Evolutionary Dynamics - Exploring the Equations of Life (Harvard University Press, 2006)

A more mathematical book:
Hofbauer & Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, 1998)

Page Manager: Lisa Sundqvist|Last update: 12/21/2010

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