Bibliography

The following textbooks are recommended further reading on the topics covered by ludics:

William J. Stewart: Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modelling. Princeton University Press, 2009.

Josef Hofbauer and Karl Sigmund: Evolutionary Games and Population Dynamics. Cambridge University Press, 1998.

Martin A. Nowak: Evolutionary Dynamics: Exploring the Equations of Life. Harvard University Press, 2006.

The following papers define the population dynamics supported by ludics:

P. A. P. Moran: Random processes in genetics. Mathematical Proceedings of the Cambridge Philosophical Society, 54(1), 60-71, 1958.

György Szabó and Csaba Tőke: Evolutionary prisoner's dilemma game on a square lattice. Physical Review E, 58(1), 69, 1998.

M. C. Couto, S. Giaimo and C. Hilbe: Introspection dynamics: a simple model of counterfactual learning in asymmetric games. New Journal of Physics, 24, 063010, 2022.

Jinming Du, Bin Wu, Philipp M. Altrock and Long Wang: Aspiration dynamics of multi-player games in finite populations. Journal of the Royal Society Interface, 11(94), 20140077, 2014.

The following paper defines the Public Goods Game fitness function used in ludics:

Christoph Hauert, Silvia De Monte, Josef Hofbauer and Karl Sigmund: Volunteering as Red Queen mechanism for cooperation in public goods games. Science, 296(5570), 1129-1132, 2002.