English

Interactions between resource dependent branching processes and equilibria

Probability 2025-02-07 v1

Abstract

This paper is a supplement to the paper "Interactions between Human Populations and Related Problems of Optimal Transport" written by the same author in honour of Marc Hallin, Universit\'e Libre de Bruxelles, at the occasion of Hallin's 7575th birthday. It was announced in the main paper (Bruss (2024)) published in the Springer Festschrift entitled {\it Recent Advances in Econometrics and Statistics}. It contains the proofs which, given the space constraints required for the Festschrift, could not appear in the main paper. Moreover, we complement in the present supplement the main paper by brief comments on related problems which are likely to turn up in practice for problems of guiding human populations, namely problems of control and problems of optimal stopping.

Cite

@article{arxiv.2502.03872,
  title  = {Interactions between resource dependent branching processes and equilibria},
  author = {F. Thomas Bruss},
  journal= {arXiv preprint arXiv:2502.03872},
  year   = {2025}
}

Comments

11 pages

R2 v1 2026-06-28T21:34:30.116Z