Dynamics of a Simple Evolutionary Process

Dietrich Stauffer and M. E. J. Newman

Working Papers from Santa Fe Institute

Abstract: We study the simple evolutionary process in which we repeatedly find the least fit agent in a population of agents and give it a new fitness which is chosen independently at random from a specified distribution. We show that many of the average properties of this process can be calculated exactly using analytic methods. In particular we find the distribution of fitnesses at arbitrary time, and the distribution of the lengths of runs of hits on the same agent, the latter being found to follow a power law with exponent -1, similar to the distribution of times between evolutionary events in the Bak-Sneppen model and models based on the so-called record dynamics. We confirm our analytic results with extensive numerical simulations.

Keywords: Evolution; evolutionary dynamics; fitnews; optimization (search for similar items in EconPapers)
Date: 2001-08
New Economics Papers: this item is included in nep-cmp and nep-evo
References: View complete reference list from CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:01-08-038

Access Statistics for this paper

More papers in Working Papers from Santa Fe Institute Contact information at EDIRC.
Bibliographic data for series maintained by Thomas Krichel ().