Seminar 16th January 2013 4 p.m. Building 53, Room 4025
Chaos and noise in game theory and evolutionary dynamics
Dr Tobias Galla
University of Manchester
- Web page
- http://cs4southampton.wordpress.com/2013/01/14/cs4-future-talk-dr-tobias-galla/
- Submitter
- Luke Goater
The next seminar of the CS4: Complexity Systems Simulation Seminar Series 2012/13 will take place tomorrow, 16th January. Dr Tobias Galla from the University of Manchester will give the talk "Chaos and noise in game theory and evolutionary dynamics", 4-5pm, B53/4025, Highfield Campus.
“In the first part of the talk I will discuss the effects of intrinsic noise on the dynamics of evolutionary systems in game theory. These are conventionally described by deterministic differential equations, an approximation valid only for infinite populations. Demographic or intrinsic noise in finite populations can have profound consequences on the dynamics and lead to new phenomena such as extinction and fixation, and to noise-driven quasi cycles. I will describe how these can be characterised in simulations and with methods from statistical physics.
In the second part of the talk I will discuss the outcome of learning in complicated games with a large number of moves. I will show that for a large range of randomly drawn games the outcome is high-dimensional chaos, limiting the ability of players to learn to play Nash equilibria. I will discuss consequences for modelling approaches in economics and finance, especially those built around equilibrium concepts.
References:
Tobias Galla, J. Doyne Farmer, Proc. Nat. Acad. Sci, Early Edition http://intl.pnas.org/content/early/2013/01/03/1109672110.abstract Alex J. Bladon, Tobias Galla, and Alan J. McKane, Phys. Rev. E 81, 066122 (2010) Tobias Galla, Phys. Rev. Lett. 103, 198702 (2009)”'
All CS4 talks are free and refreshments will be provided from 5pm. No registration is required. For videos of previous talks and details of future talks please visit: