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The Shahshahani geometry of evolutionary game theory is realized as the information geometry of the simplex, deriving from the Fisher information metric of the manifold of categorical probability distributions.
The geometry of population genetics
Ethan Akin · 1979
Earlier work this paper cites.
A new mathematical framework for the study of linkage and selection
S. Shahshahani · 1979
Earlier work this paper cites.
Exponential families and game dynamics
Ethan Akin · 1982
Earlier work this paper cites.
Statistical decision rules and optimal inference
N.N. Chentsov · 1982
Earlier work this paper cites.
The differential geometry of population genetics and evolutionary games
Ethan Akin · 1990
Cited alongside, same era.
Methods of Information Geometry
Shunichi Amari and Hiroshi Nagaoka · 1993
Cited alongside, same era.
Gradient systems in view of information geometry
Shunichi Amari and A Fujiwara · 1995
Cited alongside, same era.
Evolutionary selection in normal form games
K. Ritzberger and J.W. Weibull · 1995
Cited alongside, same era.
Replicator equations and the principle of minimal production of information
Georgiy P Karev
Cited in the paper.
Evolutionary Games and Population Dynamics
Josef Hofbauer and Karl Sigmund · 1998
Later among the works it cites.
On a notion of linear replicator equations
Nihat Ay and Ionas Erb · 2005
Later among the works it cites.
Evolutionary Dynamics: Exploring the Equations of Life
Martin Nowak · 2006
Later among the works it cites.
Population Games and Evolutionary Dynamics
William H. Sandholm · 2008
Later among the works it cites.
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