Short description of your project

Dear all, 

To monitor your progress and obtain an impression of where you are all going, can you please send me by monday 10 June evening the following: a short description (like one paragraph) of the direction of your poster project activity, including some main references (papers, book chapters or web pages, etc) that you are using.

Thanks, Jeroen Lamb (jeroen.lamb@imperial.ac.uk)

Recommended reading and links

There is a wealth of relevant and useful material on the Dynamics of Games and Learning to be found on the internet and in the library. The list below is partially historical and partially arbitrary. Most books and articles can be assessed via the library (often online, using Imperial's access). Let me know if you are having (persistent) difficulties assessing references.







J. Maynard Smith. Evolution and the theory of games. 1982.
Classic and pioneering text on evolutionary game theory.


J. Maynard Smith: Games animals play. LMS popular lecture (1986). Video





J. Hofbauer and K. Sigmund. Evolutionary games and population dynamics. 1998.

An early and elementary introduction to the dynamical systems theory of games and applications in population dynamics.

J. Hofbauer. Deterministic evolutionary game dynamics. in Evolutionary game dynamics, pp 61–79, Proc. Sympos. Appl. Math., 69. 2011.
A survey on continuous time deterministic evolutionary dynamics for finite games.



J. Hofbauer. The selection mutation equation. J. Math. Biology 23 (1985), 41-53.
Fisher's Theorem of natural selection is extended to a model with mutation rates.

J.W. Weibull. Evolutionary game theory. MIT Press (1995)
Very useful and accessible textbook on the basics of the topic. 








M. Nowak. Evolutionary dynamics. Harvard University Press. 2006.
"Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves"

M. Nowak and K. Sigmund. Evolutionary dynamics of biological games. Science  303 (Issue 5659) (2004). 793-799
Survey paper on games modelling mutation and selection.





E.C. Zeeman. Population dynamics from game theory.In: Nitecki Z., Robinson C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics 819, pp 471-497. 1980.

Classical paper by Christopher Zeeman.

E.C. Zeeman. Mathematics into pictures: game and evolution. Royal Institution Christmas lectures (1978), lecture 4. Video.

Historical recordings, now available online.

R. Cressman and Yi Tao. The replicator equation and other game dynamics.
PNAS 111 (Supp 3) (2014), 10810-10817. 
Survey on replicator dynamics.

Evolutionary game theory: cells as players. S. Hummert et al. Mol. BioSyst. 10 (2014), 3044-3065. (DOI: 10.1039/c3mb70602h)
Review of game theory applications in biology at the molecular level below the level of cognitive living beings.

Y. Sato, E. Akiyama, J.D. Farmer. Chaos in learning a simple two-person game. PNAS 99(7) (2002):47484751
Zero-sum game with Hamiltonian chaos.

O. Gomes. Discrete dynamics in evolutionary games. Discrete Dynamics in Nature and Society Volume 2012, Article ID 41678 (doi:10.1155/2012/416789)
Paper with analysis of discrete time game dynamics leading to chaotic dynamical behaviour.

T.G.Dulecha. Replicator Equation: Applications Revisited. arXiv:1704.04805v2

Short survey paper on the uses of replicator dynamics in applications.

L. Clark. Dynamics in Games. University of Warwick (Final year project). 2012.
Report on replicator dynamics and fictitious play.

J. Massey. Evolutionary game theory. Lecture notes (Warwick)
Another set of good notes on evolutionary game theory.

Links:

Evolutionary Game Theory course notes and website by Daniel Cownden (Queens Univeristy, Kingston ON). 2010.

Game Theory Society list of software resources.
Perhaps useful for those of you who want to do some numerical modelling; resources include matlab and python packages.

S.E. Page. Model thinking (Coursera)
Modelling course containing some game theory, including prisoner's dilemma and replicator dynamics.

Introductory lecture

As a prelude to your projects, I gave a broad lecture on the Dynamics of Games and Learning on Tuesday 28 May 15:40-17:10. You find the slides in pdf format in the right hand side margin.