Jante's law process
(2018) In Advances in Applied Probability 50(2). p.414439 Abstract
 Consider the process which starts with N ≥ 3 distinct points on ℝd, and fix a positive integer K < N. Of the total N points keep those N  K which minimize the energy amongst all the possible subsets of size N  K, and then replace the removed points by K independent and identically distributed points sampled according to some fixed distribution ζ. Repeat this process ad infinitum. We obtain various quite nonrestrictive conditions under which the set of points converges to a certain limit. This is a very substantial generalization of the `Keynesian beauty contest process' introduced in Grinfeld et al. (2015), where K = 1 and the distribution ζ was uniform on the unit cube.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1d098f1aa70344e4853993780cc10567
 author
 Kennerberg, Philip ^{LU} and Volkov, Stanislav ^{LU}
 organization
 publishing date
 201806
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Sannolikhetsteori, Stokastiska processer, Probability theory, Markov processes
 in
 Advances in Applied Probability
 volume
 50
 issue
 2
 pages
 414  439
 publisher
 Applied Probability Trust
 external identifiers

 scopus:85050694358
 ISSN
 00018678
 DOI
 10.1017/apr.2018.20
 language
 English
 LU publication?
 yes
 id
 1d098f1aa70344e4853993780cc10567
 date added to LUP
 20180316 16:22:32
 date last changed
 20210915 05:23:20
@article{1d098f1aa70344e4853993780cc10567, abstract = {Consider the process which starts with N ≥ 3 distinct points on ℝd, and fix a positive integer K < N. Of the total N points keep those N  K which minimize the energy amongst all the possible subsets of size N  K, and then replace the removed points by K independent and identically distributed points sampled according to some fixed distribution ζ. Repeat this process ad infinitum. We obtain various quite nonrestrictive conditions under which the set of points converges to a certain limit. This is a very substantial generalization of the `Keynesian beauty contest process' introduced in Grinfeld et al. (2015), where K = 1 and the distribution ζ was uniform on the unit cube.}, author = {Kennerberg, Philip and Volkov, Stanislav}, issn = {00018678}, language = {eng}, number = {2}, pages = {414439}, publisher = {Applied Probability Trust}, series = {Advances in Applied Probability}, title = {Jante's law process}, url = {http://dx.doi.org/10.1017/apr.2018.20}, doi = {10.1017/apr.2018.20}, volume = {50}, year = {2018}, }