An Intra-Population Imitation Model for Inter-Population 2x2 Symmetric Games
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The figure shows the proportion of -strategists in two distinct populations (
and
) with the same number of individuals
. At each time step, all individuals are randomly matched in pairs made up of one individual from population
and one individual from population
to play a symmetric 2×2 game. The two possible actions (or pure strategies) in the game are labeled
and
. Thus, each individual (regardless of the population to which it belongs) is either an
-strategist or a
-strategist. The payoffs of the game are
,
,
, and
(parameters), where, for instance,
denotes the payoff obtained by an
-strategist when he plays with a
-strategist.
Contributed by: Luis R. Izquierdo and Segismundo S. Izquierdo (May 2010)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Snapshot 1: Hawk–Dove game with 50 individuals in each population ( denotes the Hawk strategy and
denotes the Dove strategy)
Snapshot 2: Coordination game with 50 individuals in each population ( denotes "driving on my left" and D denotes "driving on my right")
Snapshot 3: Prisoner's Dilemma game with 500 individuals in each population ( denotes the cooperative strategy and
denotes the defective strategy)
Reference
[1] S. S. Izquierdo and L. R. Izquierdo, "Stochastic Approximation to Understand Simple Simulation Models," Journal of Statistical Physics, Dec 2012. dx.doi.org/10.1007/s10955-012-0654-z
Permanent Citation