Self-Organised Optimality in Driven Systems with Symmetrical Interactions

TL;DR

This paper proposes a universal principle of self-organised optimality in driven systems with symmetrical interactions, linking thermodynamics, game theory, and evolutionary processes to explain efficiency and success in physical, biological, and social systems.

Contribution

It introduces a universal framework connecting non-equilibrium thermodynamics and game theory to explain self-organised optimality across diverse driven systems.

Findings

Driven systems tend toward self-organised optimality with minimal dissipation.

The principle applies broadly to physical, biological, and social systems.

Maximal overall success emerges as a universal outcome.

Abstract

Extremal principles are fundamental in our interpretation of phenomena in nature. One of the best known examples is the second law of thermodynamics, governing most physical and chemical systems and stating the continuous increase of entropy in closed systems. Biological and social systems, however, are usually open and characterised by self-organised structures. Being results of an evolutionary optimisation process, one may conjecture that such systems use resources like energy very efficiently, but there is no proof for this. Recent results on driven systems indicate that systems composed of competing entities tend to reach a state of self-organised optimality associated with minimal interaction or minimal dissipation, respectively. Using concepts from non-equilibrium thermodynamics and game theoretical ideas, we will show that this is universal to an even wider class of systems which, generally speaking, have the ability to reach a state of maximal overall ``success''. This principle is expected to be relevant for driven systems in physics, but its main significance concerns biological and social systems, for which only a limited number of quantitative principles are available yet.