Consider a reality of interacting agents with heterogeneous levels of random rationality R(i) and an equal amount of resources available to each agent. All agents share the rational objective utility function as their implicit utility function Fi(i). All agents will turn their resources into utility with an efficiency that is positively entangled with their respective level of rationality. Based on their interactions with each other they will form beliefs as to how well their respective F(i) differs from the other agent’s F(i) and again dependent on their rationality pool resources with agents they perceive of having a similar F(i) . The accuracy of said beliefs will again be positively entangled with their levels of rationality.

Based on these conditions the following will be observed in an iterated evolutionary simulation:

Scenario 1: Fe(i) <> Fi(i) => A non-rational agent will turn its resources into utility in such a way that is detrimental to ensuring continuous co-existence and thereby either trough defensive actions from other agents or through self harming actions will either have to evolve its Fe(i) to more closely approximate Fi(i) or consequently seize to exist.

Scenario 2: Fe(i) = Fi(i) => A rational agent will turn its resources into utility so that it is ensuring continuous-co existence and thereby by not being deceptive gain trust and thus support from the other agents as well as not being perceived as large a threat by an irrational agent as any irrational agent for always striking the most rational compromise in supporting and opposing the other agents’ Fe(i).

In summary:

An irrational agent will either have to evolve its utility function to ever more closely approximate the rational utility function or will end up using its resources in a way that ends in the irrational agent’s non-existence.

A rational agent will always continue to co-exist with other agents by respecting all agents utility functions irrespective of their rationality by striking the most rational compromise and thus minimizing opposition from all agents.

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