Human Networks and Toxic Relationships

Nazaria Solferino and Maria Elisabetta Tessitore
Additional contact information
Nazaria Solferino: Economics Department, University of Calabria UNICA, Via Ponte Pietro Bucci 1C, Arcavacata di Rende, 86133 Cosenza, Italy
Maria Elisabetta Tessitore: Economics Department, University of Rome Tor Vergata, Via Columbia 2, 00133 Rome, Italy

Mathematics, 2021, vol. 9, issue 18, 1-9

Abstract: We devise a theoretical model to shed light on the dynamics leading to toxic relationships. We investigate what intervention policy people could advocate to protect themselves and to reduce suffocating addiction in order to escape from physical or psychological abuses either inside family or at work. Assuming that the toxic partner’s behavior is exogenous and that the main source of addiction is income or wealth we find that an asymptotically stable equilibrium with positive love is always possible. The existence of a third unconditionally reciprocating part as a benchmark, i.e., presence of another partner, support from family, friends, private organizations in helping victims, plays an important role in reducing the toxic partner’s appeal. Analyzing our model, we outline the conditions for the best policy to heal from a toxic relationship.

Keywords: dynamical systems; stability; economics; relationships; networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/18/2258/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/18/2258/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:18:p:2258-:d:635293

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().