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Article Open Access September 07, 2024

Stable Relationships

Sam Ganzfried 1,*
1
Ganzfried Research, USA
Publihed in: Current Research in Public Health (Volume 3, Issue 1, 2024)
Page(s): 38-48
DOI: 10.31586/jsmhes.2024.992
Received
June 29, 2024
Revised
August 17, 2024
Accepted
September 04, 2024
Published
September 07, 2024
Keywords
Dynamic System; Stability; Relationships; Power; Mathematical Sociology
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright: Copyright © The Author(s), 2024. Published by Scientific Publications
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Cite This Article

APA Style
Ganzfried, S. (2024). Stable Relationships. Current Research in Public Health, 3(1), 38-48. https://doi.org/10.31586/jsmhes.2024.992
ACS Style
Ganzfried, S. Stable Relationships. Current Research in Public Health 2024 3(1), 38-48. https://doi.org/10.31586/jsmhes.2024.992
Chicago/Turabian Style
Ganzfried, Sam. 2024. "Stable Relationships". Current Research in Public Health 3, no. 1: 38-48. https://doi.org/10.31586/jsmhes.2024.992
AMA Style
Ganzfried S. Stable Relationships. Current Research in Public Health. 2024; 3(1):38-48. https://doi.org/10.31586/jsmhes.2024.992 
@Article{crph992,
AUTHOR = {Ganzfried, Sam},
TITLE = {Stable Relationships},
JOURNAL = {Current Research in Public Health},
VOLUME = {3},
YEAR = {2024},
NUMBER = {1},
PAGES = {38-48},
URL = {https://www.scipublications.com/journal/index.php/JSMHES/article/view/992},
ISSN = {2831-5162},
DOI = {10.31586/jsmhes.2024.992},
ABSTRACT = {We study a dynamic model of the relationship between two people where the states depend on the “power” in the relationship. We perform a comprehensive analysis of stability of the system, and determine a set of conditions under which stable relationships are possible. In particular, stable relationships can occur if both people are dominant, but the sum of dominances is below a bound determined by the model’s parameters. Stable relationships can also occur if one person is dominant and the other is submissive, provided the level of dominance exceeds the level of submissiveness but not beyond a threshold. We also conclude that a stable relationship is not possible if both people are submissive. While our model is motivated by a social or romantic relationship, it can also be applied to professional or business relationships, diplomatic relationships between nations, and certain biological interactions between organisms and between automated agents or robots.},
}
%0 Journal Article
%A Ganzfried, Sam
%D 2024
%J Current Research in Public Health

%@ 2831-5162
%V 3
%N 1
%P 38-48

%T Stable Relationships
%M doi:10.31586/jsmhes.2024.992
%U https://www.scipublications.com/journal/index.php/JSMHES/article/view/992

TY  - JOUR
AU  - Ganzfried, Sam
TI  - Stable Relationships
T2  - Current Research in Public Health
PY  - 2024
VL  - 3
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SN  - 2831-5162
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UR  - https://www.scipublications.com/journal/index.php/JSMHES/article/view/992
AB  - We study a dynamic model of the relationship between two people where the states depend on the “power” in the relationship. We perform a comprehensive analysis of stability of the system, and determine a set of conditions under which stable relationships are possible. In particular, stable relationships can occur if both people are dominant, but the sum of dominances is below a bound determined by the model’s parameters. Stable relationships can also occur if one person is dominant and the other is submissive, provided the level of dominance exceeds the level of submissiveness but not beyond a threshold. We also conclude that a stable relationship is not possible if both people are submissive. While our model is motivated by a social or romantic relationship, it can also be applied to professional or business relationships, diplomatic relationships between nations, and certain biological interactions between organisms and between automated agents or robots.
DO  - Stable Relationships
TI  - 10.31586/jsmhes.2024.992
ER  -