TY - JOUR
T1 - Noisy convention selection with local interaction
AU - Araki, Kazunori
AU - Hamish, Low
PY - 2000
Y1 - 2000
N2 - Stochastic evolutionary processes can be used to determine which equilibrium a society selects, but expected waiting times for the transition to such an equilibrium can be fantastically large. Waiting times are reduced if interaction is predominantly local or if the selection process is very noisy. This article uses simulation to study waiting times when interaction is local and selection is noisy simultaneously. Waiting times fall significantly, and increases in population size do not necessarily lead to increased waiting times. The form of local interaction is shown to be important to the effect on waiting times. The key to the speed of overall convergence is the speed of convergence of the first subgroup. Applications to the problem of convention selection rely on more frequent mistakes in learning, which weakens the selection result. The selection result is also weakened by local interaction.
AB - Stochastic evolutionary processes can be used to determine which equilibrium a society selects, but expected waiting times for the transition to such an equilibrium can be fantastically large. Waiting times are reduced if interaction is predominantly local or if the selection process is very noisy. This article uses simulation to study waiting times when interaction is local and selection is noisy simultaneously. Waiting times fall significantly, and increases in population size do not necessarily lead to increased waiting times. The form of local interaction is shown to be important to the effect on waiting times. The key to the speed of overall convergence is the speed of convergence of the first subgroup. Applications to the problem of convention selection rely on more frequent mistakes in learning, which weakens the selection result. The selection result is also weakened by local interaction.
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U2 - 10.1177/0049124100028003005
DO - 10.1177/0049124100028003005
M3 - Article
AN - SCOPUS:0034339540
VL - 28
SP - 312
EP - 340
JO - Sociological Methods and Research
JF - Sociological Methods and Research
SN - 0049-1241
IS - 3
ER -