EvoLudoLab: Fixation probabilities on random regular graphs

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Color code: Residents Mutants
New resident New mutant
Payoff code: Residents Mutants
time: -
Error: Mandatory option --module not found!
GWT Version: 2.11.0
GUI features: WebGL XML keyboard mouse
ERROR: Mandatory option --module not found!
List of available modules:
--module <m> select module from:
Moran: Moran process
eMoran: Ecological Moran process
Motility: Selection & Motility
CG: Conservation Game
2x2: 2x2 Games
e2x2: Ecological 2x2 games
a2x2: Asymmetric 2x2 Games
Demes2x2: 2x2 Games in Demes
RSP: Rock-Scissors-Paper Games
CDL: Volunteering in (non-linear) public goods games
CDLP: Punishment in voluntary public goods games
CDLPQ: Peer & pool punishment in voluntary public goods
Mutual: Mutualisms
eMut: Ecological Mutualisms
ePGG: Ecological public goods games
cSD: Continuous Snowdrift
cLabour: Continuous Division of Labour
Dialect: Emergence of Dialects
Net: Network Games
Test: Test suite

Fixation probabilities on random regular graphs

Since random regular graphs are circulations, the fixation probability of a mutant has to be the same irrespective of its initial location and must be identical to the one of the original Moran process in unstructured populations.

For the simulations, the population size is N=81 with k=4 neighbours, which results in a total of 120 links (note that the population size of N=81, which was used to illustrate fixation probabilities on the other graphs as for the other graphs. The fitness of residents is set to 1 and that of mutants to 2. Thus, a single mutant has approximately a 50% chance to take over the population. For reference, the analytical fixation probabilities of the original Moran process are indicated by a dark red line.

Data views

Strategies - Structure

Snapshot of the spatial arrangement of strategies.

Strategies - Structure 3D

3D view of snapshot of the spatial arrangement of strategies.

Strategies - Mean

Time evolution of the strategy frequencies.

Fitness - Structure

Snapshot of the spatial distribution of payoffs.

Fitness - Structure 3D

3D view of snapshot of the spatial distribution of payoffs.

Fitness - Mean

Time evolution of average population payoff bounded by the minimum and maximum individual payoff.

Fitness - Histogram

Snapshot of payoff distribution in population.

Structure - Degree

Degree distribution in structured populations.

Statistics - Fixation probability

Statistics of fixation probability for each vertex where the initial mutant arose.

Statistics - Fixation times

Statistics of conditional fixation times of residents and mutants as well as absorption time for each vertex where the initial mutant arose.

Console log

Message log from engine.

Game parameters

The list below describes only the few parameters related to the evolutionary dynamics of residents and mutants with fixed fitness (constant selection). Numerous other parameters are available to set population structures or update rules on the player as well as population level.

--fitness <r,m>
fitness of residents r and of mutants m.