Negotiation problem
Izat B. Baybusinov, Enrico Maria Fenoaltea, Yi-Cheng Zhang

TL;DR
This paper introduces a negotiation model for multiple stakeholders with overlapping and opposing interests, linking it to statistical mechanics problems and offering new interdisciplinary insights.
Contribution
It presents a novel negotiation framework that can be mapped to directed percolation and polymers, utilizing statistical mechanics tools like the Replica method.
Findings
Model can be mapped to directed percolation and polymers
Statistical mechanics tools can be applied to negotiation analysis
Provides new interdisciplinary perspectives
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.
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