Consider a singleton overseeing ten simpletons. Its ontology is that each particle has a position. Each prefers all their body’s particles being in it to the alternative. It aggregates their preferences by letting each of them rule out 10% of the space of possibilities. This does not let them gurantee their integrity. What if it considered changes to a single position instead of states? Each would rule out any change that removes a particle from their body, which fits fine in their 10%. Iterating non-ruled-out changes would end up in an optimal state starting from any state. This isn’t free lunch, but we should formalize what we paid.
Consider a singleton overseeing ten simpletons. Its ontology is that each particle has a position. Each prefers all their body’s particles being in it to the alternative. It aggregates their preferences by letting each of them rule out 10% of the space of possibilities. This does not let them gurantee their integrity. What if it considered changes to a single position instead of states? Each would rule out any change that removes a particle from their body, which fits fine in their 10%. Iterating non-ruled-out changes would end up in an optimal state starting from any state. This isn’t free lunch, but we should formalize what we paid.