# ESset: Evolutionarily stable set for two-player games with three... In EvolutionaryGames: Important Concepts of Evolutionary Game Theory

 ESset R Documentation

## Evolutionarily stable set for two-player games with three strategies

### Description

Computes evolutionarily stable sets of a game with two players and three strategies.

### Usage

```ESset(A, strategies = c("1", "2", "3"), floats = TRUE)
```

### Arguments

 `A` Numeric matrix of size 3x3 representing the number of strategies of a symmetric matrix game. `strategies` String vector of length 3 that names all strategies. `floats` Logical value that handles number representation. If set to `TRUE`, floating-point arithmetic will be used, otherwise fractions. Default is `TRUE`.

### Value

Numeric matrix. Each row represents the start and end point of a line (ESset). In addition, a plot of the ESset in the game will be created.

### Author(s)

Daniel Gebele dngebele@gmail.com

### References

Thomas, B. (1985) "On evolutionarily stable sets", Journal of Mathematical Biology 22, pp. 105–115.

### Examples

```# Please note that the computation of evolutionarily stable sets
# is rather time-consuming.
# Depending on your machine you might need to wait more
# than 10 seconds in order to run the following example.
## Not run:
A <- matrix(c(-2, 5, 10/9, 0, 5/2, 10/9, -10/9, 35/9, 10/9), 3, byrow=TRUE)
strategies <- c("Hawk", "Dove", "Mixed ESS")
ESset(A, strategies)

## End(Not run)
```

EvolutionaryGames documentation built on April 11, 2022, 5:07 p.m.