Is there any particular reason why entropy cannot be considered to be a measure of or proxy for the level of competition in a system?
Take a system of agents that can compete or cooperate, whether human, biological, molecular or atomic.
Allow the agents to compete for energy (or sugar or money).
The state of maximum entropy and the state of maximum competition achieve the same effect - maximum dispersion of the energy or sugar or money throughout all the agents in the system.
Ergo, can entropy be considered to be a measure of or proxy for the level of competition in the system?