# Emergence of Simple Characteristics for Heterogeneous Complex Social Agents

## Abstract

**:**

**20**, 329 (2019)] that some types of interactions among agents with many internal degrees of freedom may lead to a ‘simplification’ of agents, which are then effectively described by a small number of internal degrees of freedom. Here, we generalize the model to account for agent intrinsic heterogeneity. We find two different simplification regimes, one dominated by interactions, where agents become simple and identical as in the homogeneous model, and one where agents remain strongly heterogeneous although effectively with simple characteristics.

## 1. Introduction

## 2. Model

## 3. Conclusions

## Funding

## Acknowledgments

## Conflicts of Interest

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**Figure 1.**Phase diagram of the model in the $(k,T)$-plane (reduced coupling constant $k=K/M$ versus temperature), showing the three different regions separated by the critical line ${k}_{c}\left(T\right)$ (full line) and the ‘glass’ temperature ${T}_{\mathrm{g}}$ (dashed vertical line). For $k<{k}_{c}\left(T\right)$, agents configurations do not overlap ($q=0$), while for $k>{k}_{c}\left(T\right)$ agents become standardized by interactions ($q=1$). The $q=0$ area is subdivided into high- and low-temperature regions. For $T>{T}_{\mathrm{g}}$, agents may be in any of their internal configurations, while for $T<{T}_{\mathrm{g}}$, they are dynamically blocked in the few configurations with the highest intrinsic utility. In this latter case, agents appear simple but remain heterogeneous.

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**MDPI and ACS Style**

Bertin, E. Emergence of Simple Characteristics for Heterogeneous Complex Social Agents. *Symmetry* **2020**, *12*, 1281.
https://doi.org/10.3390/sym12081281

**AMA Style**

Bertin E. Emergence of Simple Characteristics for Heterogeneous Complex Social Agents. *Symmetry*. 2020; 12(8):1281.
https://doi.org/10.3390/sym12081281

**Chicago/Turabian Style**

Bertin, Eric. 2020. "Emergence of Simple Characteristics for Heterogeneous Complex Social Agents" *Symmetry* 12, no. 8: 1281.
https://doi.org/10.3390/sym12081281