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Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life. / Storozhuk, Konstantin; Pashinin, Vadim.

In: Theory in Biosciences, Vol. 145, No. 3, 16.07.2026.

Research output: Contribution to journal › Article › peer-review

Harvard

Storozhuk, K & Pashinin, V 2026, 'Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life', Theory in Biosciences, vol. 145, no. 3. https://doi.org/10.1007/s12064-026-00489-4

APA

Storozhuk, K., & Pashinin, V. (2026). Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life. Theory in Biosciences, 145(3). https://doi.org/10.1007/s12064-026-00489-4

Vancouver

Storozhuk K, Pashinin V. Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life. Theory in Biosciences. 2026 Jul 16;145(3). doi: 10.1007/s12064-026-00489-4

Author

Storozhuk, Konstantin ; Pashinin, Vadim. / Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life. In: Theory in Biosciences. 2026 ; Vol. 145, No. 3.

BibTeX

@article{2b8cf25770044afe82540eccb2ecdb23,
title = "Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life",
abstract = "We investigate and partially explain some of the ≪counterintuitive≫ effects that arise in a probabilistic analogue of Conway's ≪life≫ cellular automaton when cells are allowed to come to life or die out with certain probabilities depending on the number of living neighbors. Some biological analogies turned out to be appropriate. One of the most intriguing observations: if we add to the standard ≪B3S23≫ rules of the ≪Game of Life≫ cellular automaton a stochastic rule whereby a dead cell is born with five neighbors with probability p, then for [Formula: see text] this leads to an increase in population compared to the standard rules, while for [Formula: see text] it leads to degradation.",
keywords = "Game Theory, Stochastic Processes, Probability, Mutation, Population Dynamics, Models, Biological, Humans, Animals, Algorithms, Computer Simulation, Игра Жизнь, Вероятностные клеточные автоматы, Мутации, Популяционное равновесие",
author = "Konstantin Storozhuk and Vadim Pashinin",
note = "Storozhuk, K., Pashinin, V. Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life. Theory Biosci. 145, 36 (2026). https://doi.org/10.1007/s12064-026-00489-4 The work of the first author was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0006).",
year = "2026",
month = jul,
day = "16",
doi = "10.1007/s12064-026-00489-4",
language = "English",
volume = "145",
journal = "Theory in Biosciences",
issn = "1431-7613",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life

AU - Storozhuk, Konstantin

AU - Pashinin, Vadim

N1 - Storozhuk, K., Pashinin, V. Some counterintuitive non-monotonicities in probabilistic rules in the Game of Life. Theory Biosci. 145, 36 (2026). https://doi.org/10.1007/s12064-026-00489-4 The work of the first author was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0006).

PY - 2026/7/16

Y1 - 2026/7/16

N2 - We investigate and partially explain some of the ≪counterintuitive≫ effects that arise in a probabilistic analogue of Conway's ≪life≫ cellular automaton when cells are allowed to come to life or die out with certain probabilities depending on the number of living neighbors. Some biological analogies turned out to be appropriate. One of the most intriguing observations: if we add to the standard ≪B3S23≫ rules of the ≪Game of Life≫ cellular automaton a stochastic rule whereby a dead cell is born with five neighbors with probability p, then for [Formula: see text] this leads to an increase in population compared to the standard rules, while for [Formula: see text] it leads to degradation.

AB - We investigate and partially explain some of the ≪counterintuitive≫ effects that arise in a probabilistic analogue of Conway's ≪life≫ cellular automaton when cells are allowed to come to life or die out with certain probabilities depending on the number of living neighbors. Some biological analogies turned out to be appropriate. One of the most intriguing observations: if we add to the standard ≪B3S23≫ rules of the ≪Game of Life≫ cellular automaton a stochastic rule whereby a dead cell is born with five neighbors with probability p, then for [Formula: see text] this leads to an increase in population compared to the standard rules, while for [Formula: see text] it leads to degradation.

KW - Game Theory

KW - Stochastic Processes

KW - Probability

KW - Mutation

KW - Population Dynamics

KW - Models, Biological

KW - Humans

KW - Animals

KW - Algorithms

KW - Computer Simulation

KW - Игра Жизнь

KW - Вероятностные клеточные автоматы

KW - Мутации

KW - Популяционное равновесие

UR - https://www.scopus.com/pages/publications/105044829995

U2 - 10.1007/s12064-026-00489-4

DO - 10.1007/s12064-026-00489-4

M3 - Article

C2 - 42458132

VL - 145

JO - Theory in Biosciences

JF - Theory in Biosciences

SN - 1431-7613

IS - 3

ER -

ID: 83163403