complexity in spatial dynamics the emergence of homogeneity heterogeneity in culture
Download
Skip this Video
Download Presentation
Complexity in Spatial Dynamics: the Emergence of Homogeneity/Heterogeneity in Culture

Loading in 2 Seconds...

play fullscreen
1 / 13

Complexity in Spatial Dynamics: the Emergence of Homogeneity/Heterogeneity in Culture - PowerPoint PPT Presentation


  • 73 Views
  • Uploaded on

Complexity in Spatial Dynamics: the Emergence of Homogeneity/Heterogeneity in Culture. Paul Ormerod, Camila Caiado, Alex Bentley Launch of WP3, Tipping Points, 14 September 2012. Purpose.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Complexity in Spatial Dynamics: the Emergence of Homogeneity/Heterogeneity in Culture' - tess


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
complexity in spatial dynamics the emergence of homogeneity heterogeneity in culture

Complexity in Spatial Dynamics: the Emergenceof Homogeneity/Heterogeneity in Culture

Paul Ormerod, Camila Caiado, Alex Bentley

Launch of WP3, Tipping Points, 14 September 2012

purpose
Purpose
  • Spatial homogeneity/heterogeneity of cultural choices across a population based in different locations is an important policy issue e.g. linguistic divisions, ideological divisions, assimilation of minorities
  • A population is allocated across k different locations and selects from a range of different attributes
  • If each location only pays attention to choices made there, or if each location pays attention to choices made everywhere else, we will clearly have cultural hetero/homogeneity
  • How willing do people have to be to take into account the preferences of other locations for cultural homogeneity to emerge?
behavioural choice
Behavioural choice
  • Agents do not have fixed preferences
  • Preferences evolve according to the choices made by others
  • The basic choice rule is preferential attachment plus a small element of random innovation
  • Bentley, Ormerod, Batty, Behavioral Ecology and Sociobiology, 2011
  • Many outcomes are highly non-Gaussian and exhibit turnover in time across the rankings of popularity
the model
The model
  • There are K locations. Agents enter the model and choose a location using the principle of preferential attachment
  • The agent then uses preferential attachment plus innovation to select amongst the various choices
  • There are 2 parameters in the basic model: the innovation rate; the ‘memory’ i.e. How far back do you go when considering the choices which have already been made
  • We introduce a third parameter: how much weight do you give to the choices made at other locations?
the algorithm
The algorithm
  • Start with N agents, locate each agent at one of the k available locations and for each agent choose one of the p available products at random.
  • For each time step t, create n new agents and locate them using preferential attachment. . In our example, N=1000, k=100, p=10 and n=1000.
  • Each new agent makes a product choice based on the choices of previous agents that entered the model in the past m steps and weighs each choice based on location according to an ‘affinity’ constant λ.
ad