Template:EvoLudoLab:2x2: Difference between revisions

From EvoLudo
No edit summary
No edit summary
 
Line 47: Line 47:
[[Data Views#Statistics - Fixation time|Statistics - Fixation time]]
[[Data Views#Statistics - Fixation time|Statistics - Fixation time]]
| Statistics of fixation and absorption times.
| Statistics of fixation and absorption times.
|-
!
[[Data Views#Statistics - Stationary distribution| Stationary distribution]]
| Statistics of the stationary distribution of the numbers of each strategic type. Note, only available for non-zero mutation rates.
|-
|-
!
!
Line 54: Line 58:
{{-}}
{{-}}


== Game parameters ==
== Module parameters ==
The list below describes only the few parameters related to the Prisoner's Dilemma, Snowdrift and Hawk-Dove games. Follow the link for a complete list and detailed descriptions of the [[Graphical User Interface|user interface]] and further [[parameters]] such as spatial arrangements or update rules on the player and population level.
The list below describes only the few parameters related to the Prisoner's Dilemma, Snowdrift and Hawk-Dove games. Follow the link for a complete list and detailed descriptions of the [[Graphical User Interface|user interface]] and further [[parameters]] such as spatial arrangements or update rules on the player and population level.


; <tt>--paymatrix <a00,a01;a10,a11></tt>
; <tt>--paymatrix <a00,a01;a10,a11></tt>
: <tt>2x2</tt> payoff matrix. Type \(A\) has index <tt>0</tt> and type \(B\) index <tt>1</tt>.
: <tt>2x2</tt> payoff matrix. Type \(A\) has index <tt>0</tt> and type \(B\) index <tt>1</tt>.
; <tt>--reward <a11></tt>
: the reward for mutual cooperation. The payoff of type \(A\) against its own type (see <tt>--paymatrix</tt>).
; <tt>--temptation <a10></tt>
: the temptation to defect. The payoff of type \(B\) against type \(A\) (see <tt>--paymatrix</tt>).
; <tt>--sucker <a01></tt>
: the sucker's payoff of an exploited cooperator. The payoff of type \(A\) against type \(B\) (see <tt>--paymatrix</tt>).
; <tt>--punishment <a00></tt>
: the punishment for mutual defection. The payoff of type \(B\) against its own type (see <tt>--paymatrix</tt>).
; <tt>--init <a,b><tt>
: initial frequencies of type \(A\) and \(B\), respectively. Frequencies that do not add up to 100% are scaled accordingly.
{{cloinittype}}
{{cloinittype}}


[[Category:Interactive Lab]]
[[Category:Interactive Lab]]

Latest revision as of 08:57, 11 August 2024

Color code: Cooperators Defectors
New cooperator New defector
Payoffs:
Low High

Note: The gradient of the payoff scale is augmented by pale shades of the strategy colours to mark payoffs that are achieved in homogeneous populations of the corresponding type.

{{{title}}}

{{{doc}}}

Data views

Strategies - Structure

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 - 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 probabilities.

Statistics - Fixation time

Statistics of fixation and absorption times.

Stationary distribution

Statistics of the stationary distribution of the numbers of each strategic type. Note, only available for non-zero mutation rates.

Console log

Message log from engine.

Module parameters

The list below describes only the few parameters related to the Prisoner's Dilemma, Snowdrift and Hawk-Dove games. Follow the link for a complete list and detailed descriptions of the user interface and further parameters such as spatial arrangements or update rules on the player and population level.

--paymatrix <a00,a01;a10,a11>
2x2 payoff matrix. Type \(A\) has index 0 and type \(B\) index 1.
--inittype <type>
type of initial configuration:
frequency <f0>,<f1>...
random distribution with given trait frequencies, f0, f1,.... Note, only available for frequency based modules and models.
density <d0>,<d1>...
initial trait densities <d1,...,dn>. Note, only available for density based modules and models.
uniform
uniform random distribution, equal frequencies of all traits.
monomorphic <t>[,<v>]
monomorphic initialization with trait t. Note, for modules with variable population densities, the optional parameter v indicates the initial frequency of vacant sites. If omitted the monomorphic trait is initialized at its (estimated) carrying capacity.
mutant <m>,<r>[,<v>]
single mutant with trait m in homogeneous resident population of type r. The mutant is placed in a location selected uniformly at random (mutants arising through cosmic rays). Note, for modules with variable population densities, the optional parameter v indicates the initial frequency of vacant sites. If omitted the resident trait is initialized at its (estimated) carrying capacity.
temperature <m>,<r>[,<v>]
single mutant with trait m in homogeneous resident population of type r. The mutant is placed in a location selected proportional to the in-degree of nodes (temperature initialization, mutants arising through errors in reproduction). Note, for modules with variable population densities, the optional parameter v indicates the initial frequency of vacant sites. If omitted the resident trait is initialized at its (estimated) carrying capacity.
stripes
stripes of traits. Note, only available for 2D lattices.
kaleidoscopes
configurations that produce evolutionary kaleidoscopes for deterministic updates (players and population). Note, only available for some modules.

Note, for modules that admit multiple species, the initialization types for each species can be specified as an array separated by ;. With more species than initialization types, they are assigned in a cyclical manner.