Adaptive Boolean networks and minority games with time-dependent capacities.

Area of Science:

• Complex systems
• Network science
• Game theory

Background:

• Agents competing for limited resources is a key problem in complex systems.
• The generalized minority game models such competitive interactions.
• Network structure influences system behavior.

Purpose of the Study:

• To investigate the impact of network connectivity on agent coordination in a generalized minority game.
• To analyze system properties under varying resource capacity levels.
• To identify specific network configurations that enhance coordination.

Main Methods:

• Simulating a network of Boolean agents playing the generalized minority game.
• Varying the mean connectivity (K) of the network.
• Modifying the external capacity level of the limited resource.
• Analyzing agent coordination metrics.

Main Results:

• The system exhibits a high degree of coordination for a mean connectivity of K=2.
• This coordination is maintained even when the resource capacity level varies significantly.
• Other connectivity values show different coordination patterns.

Conclusions:

• A network connectivity of K=2 is optimal for robust coordination in this generalized minority game model.
• Network structure plays a critical role in resource competition dynamics.
• The findings have implications for designing efficient resource allocation systems.