Simplex plot
Encyclopedia
A simplex plot is a ternary plot
used in game theory
. That is, It is particularly useful in evolutionary game theory
, where the evolutionarily stable state
s are fitness peaks
, often marked with a black dot, and populations evolve to these states along axes depending upon their start position.
See Maynard Smith Evolution and the Theory of Games
Ternary plot
A ternary plot, ternary graph, triangle plot, simplex plot, or de Finetti diagram is a barycentric plot on three variables which sum to a constant. It graphically depicts the ratios of the three variables as positions in an equilateral triangle...
used in game theory
Game theory
Game theory is a mathematical method for analyzing calculated circumstances, such as in games, where a person’s success is based upon the choices of others...
. That is, It is particularly useful in evolutionary game theory
Evolutionary game theory
Evolutionary game theory is the application of Game Theory to evolving populations of lifeforms in biology. EGT is useful in this context by defining a framework of contests, strategies and analytics into which Darwinian competition can be modelled. It originated in 1973 with John Maynard Smith...
, where the evolutionarily stable state
Evolutionarily stable state
"A population is said to be in an evolutionarily stable state if its genetic composition is restored by selection after a disturbance, provided the disturbance is not too large...
s are fitness peaks
Fitness landscape
In evolutionary biology, fitness landscapes or adaptive landscapes are used to visualize the relationship between genotypes and reproductive success. It is assumed that every genotype has a well-defined replication rate . This fitness is the "height" of the landscape...
, often marked with a black dot, and populations evolve to these states along axes depending upon their start position.
See Maynard Smith Evolution and the Theory of Games
Evolution and the Theory of Games
Evolution and the Theory of Games is a 1982 book by the British evolutionary biologist John Maynard Smith on evolutionary game theory. In it, Maynard Smith summarises work on evolutionary game theory that had developed in the 1970s, to which he made several important contributions...