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Updated: May 23, 2026
06:48
The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
Phase transitions in crowd dynamics of resource allocation
Asim Ghosh1, Daniele De Martino, Arnab Chatterjee
1TCMP Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700 064, India. asim.ghosh@saha.ac.in
Summary
Resource allocation processes with many agents and limited resources show a phase transition. Even with enough resources, systems can remain active due to a lack of coordination, leading to a "faster-is-slower" effect.
Area of Science:
- Complex systems
- Statistical physics
- Agent-based modeling
Background:
- Resource allocation problems are common in various fields.
- Understanding agent behavior and system dynamics is crucial for optimization.
- Phase transitions in complex systems reveal emergent behaviors.
Purpose of the Study:
- To define and analyze a resource allocation process with gN agents and N resources.
- To investigate the system's behavior, including phase transitions and coordination.
- To explore the implications of agent density on system stability and efficiency.
Main Methods:
- Modeling resource allocation as a process of agents repeatedly visiting resources.
- Recasting the process in terms of zero-range interacting particles.
- Analytical study of mean-field dynamics and numerical investigation of phase transitions.
Main Results:
- A phase transition is observed from an absorbing to an active phase as agent density (g) increases.
- In the active phase (g<1), the system does not reach a stable, frozen configuration.
- The system's critical exponents align with those of the stochastic fixed-energy sandpile model.
Conclusions:
- Agent coordination significantly impacts resource allocation dynamics.
- The active phase demonstrates a "faster-is-slower" effect due to a lack of coordination.
- Findings provide insights into complex system behavior and optimization strategies.
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