INVESTIGADORES
VAZQUEZ Federico
congresos y reuniones científicas
Título:
Presentacion oral: Absorbing multicultural states in the Axelrod model
Autor/es:
FEDERICO VAZQUEZ
Lugar:
Los Angeles, CA
Reunión:
Encuentro; APS March Meeting 2005; 2005
Resumen:
We determine the ultimate fate of a limit of the Axelrod model
that consists of a population of leftists, centrists, and
rightists. In an elemental interaction between agents, a
centrist and a leftist can both become centrists or both become
leftists with equal rates (similarly for a centrist and a
rightist), but leftists and rightists do not interact. This
interaction is applied repeatedly until the system can no longer
evolve. The constraint between extremists can lead to a
frustrated final state where the system consists of only
leftists and rightists. In the mean field limit, we can view the
evolution of the system as the motion of a random walk in the
3-dimensional space whose coordinates correspond to the density
of each species. We find the exact final state probabilities and
the time to reach consensus by solving for the first-passage
probability of the random walk to the corresponding absorbing
boundaries. The extension to a larger number of states will be
discussed. This approach is a first step towards the analytic
solution of Axelrod-like models.