Jante's law process
Kennerberg, Philip LU and Volkov, Stanislav LU
(2018)
In Advances in Applied Probability
50(2).
p.414-439
- 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/1d098f1a-a703-44e4-8539-93780cc10567
- author
- Kennerberg, Philip
LU
and Volkov, Stanislav
LU
- organization
- publishing date
- 2018-06
- 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
- 0001-8678
- DOI
- 10.1017/apr.2018.20
- language
- English
- LU publication?
- yes
- id
- 1d098f1a-a703-44e4-8539-93780cc10567
- date added to LUP
- 2018-03-16 16:22:32
- date last changed
- 2022-04-25 06:16:14
@article{1d098f1a-a703-44e4-8539-93780cc10567,
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 = {{0001-8678}},
keywords = {{Sannolikhetsteori; Stokastiska processer; Probability theory; Markov processes}},
language = {{eng}},
number = {{2}},
pages = {{414--439}},
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}},
}