arbiter
JournalsAccount

Stability and Efficiency of Weighted Monoplex Networks: A Comparative Analysis with Multiplex Representation

Ziyu Ma & Elena Parilina

International Game Theory Review2026https://doi.org/10.1142/s0219198926500052article
AJG 1ABDC B
Weight
0.50

Abstract

This paper investigates stability conditions for weighted monoplex (single-layer) networks obtained by transformation of multiplex networks. We develop two comprehensive frameworks for such a transformation that take into account information including the length of the shortest path and the number of direct links between players in different layers to analyse network stability through utility functions depending on benefits and costs. Three different cost functions are investigated. The study establishes stability conditions for key network structures, including monoplex networks obtained by transforming all-layer complete, all-layer star (with identical or different centers), and unique-over-layers network configurations. Through comparative analysis, we examine when stability properties are preserved or altered when transforming multiplex networks into weighted monoplex networks.

Open via your library →

Cite this paper

https://doi.org/https://doi.org/10.1142/s0219198926500052

Or copy a formatted citation

@article{ziyu2026,
  title        = {{Stability and Efficiency of Weighted Monoplex Networks: A Comparative Analysis with Multiplex Representation}},
  author       = {Ziyu Ma & Elena Parilina},
  journal      = {International Game Theory Review},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1142/s0219198926500052},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

Stability and Efficiency of Weighted Monoplex Networks: A Comparative Analysis with Multiplex Representation

Flags are reviewed by the Arbiter methodology team within 5 business days.

Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.