Parameters/Structure: Difference between revisions

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Revision as of 21:49, 7 August 2009

Characteristics of interactionsUpdating playersUpdating the populationStructure of the populationMiscellaneous - mutations, migration, initializationNumerical integration of PDE'sParameter settings specifying the structure of the populationDiscard changes, close parameter panelDiscard changes, revert to previous settingsApply changesApply changes, close parameter panel
Panel to set the population structure


Populations have different characteristic structures determined by the type of interactions of one player with other members of the populations.

Structure
mean-field/well-mixed populations
Well mixed population without any structures, i.e. groups or pairwise encounters are formed randomly. This is often called the mean-field approximation.
complete graph
x
linear lattice
The players are arranged on a straight line - that is actually on a ring in order to reduce finite size and boundary effects - and interact with equal numbers of neighbors to their left and right.
square lattice
All players are arranged on a rectangular lattice with periodic boundary conditions. The neighborhood size may be four (von Neumann-) or eight (Moore neighborhood).
honeycomb lattice
The players are arranged on a hexagonal or honeycomb lattice interacting with their six nearest neighbors.
triangular lattice
The players are arranged on a triangular lattice interacting with their three nearest neighbors.
star
x
super-star
x
wheel
x
random regular graph
x
random graph
Randomly drawn bonds/connections between players. The neighborhood size determines the average number of bonds (average connectivity) of one player, i.e. the players interact with different numbers of other individuals.
random graph (directed)
x
scale-free graph
x
scale-free graph (Klemm)
x
scale-free graph (Barabasi & Albert)
x
linear asymmetric
x
Superstars
petals
x.
amplification
x.
Scale-free exponent
x.
Boundaries
x.
Connectivity
x.
Random undirected links
Fraction of bonds that get randomly rewired to obtain a small world network out of some underlying regular lattice. Note that fractions close to one will require an enormous number of rewired bonds.
rewire
x
add
x
Random directed links
x.
rewire
x
add
x