English

Negotiation problem

Physics and Society 2022-02-01 v1 Theoretical Economics Probability

Abstract

We propose and solve a negotiation model of multiple players facing many alternative solutions. The model can be generalized to many relevant circumstances where stakeholders' interests partially overlap and partially oppose. We also show that the model can be mapped into the well-known directed percolation and directed polymers problems. Moreover, many statistical mechanics tools, such as the Replica method, can be fruitfully employed. Studying our negotiation model can enlighten the links between social-economic phenomena and traditional statistical mechanics and help to develop new perspectives and tools in the fertile interdisciplinary field.

Keywords

Cite

@article{arxiv.2201.12619,
  title  = {Negotiation problem},
  author = {Izat B. Baybusinov and Enrico Maria Fenoaltea and Yi-Cheng Zhang},
  journal= {arXiv preprint arXiv:2201.12619},
  year   = {2022}
}

Comments

14 pages, 4 figures. Published in "Physica A:statistical mechanics and its applications"

R2 v1 2026-06-24T09:08:47.645Z