2018
DOI: 10.1017/apr.2018.20
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Jante's law process

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 su… Show more

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Cited by 5 publications
(17 citation statements)
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“…This paper extends the results of [3,4] on the so-called Keynesian beauty contest, or, as it was called in [4], Jante's law process. Following [3], we recall that in the Keynesian beauty Communicated by Eric A. Carlen.…”
Section: Introductionsupporting
confidence: 68%
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“…This paper extends the results of [3,4] on the so-called Keynesian beauty contest, or, as it was called in [4], Jante's law process. Following [3], we recall that in the Keynesian beauty Communicated by Eric A. Carlen.…”
Section: Introductionsupporting
confidence: 68%
“…The version of the p-contest with p ≡ 1 was studied in [3,4]. In [3] it was shown that in the model where at each unit of time the point farthest from the center of mass is replaced by a point chosen uniformly on [0, 1], then eventually all (but one) points converge almost surely to some random limit the support of which is the whole interval [0, 1]; many of the results were extended for the version of the model on R d , d ≥ 2.…”
Section: Introductionmentioning
confidence: 99%
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