I like your equation. I also think there's something hiding in your "value of information gathered" having to do with orthogonality of information that isn't made enough of. Or perhaps, we could just talk about "information" in the Shannon sense, where these redundancies are formalized.
In any event, you can imagine a sensor-rich world where there's simply more, and more useful, info avail to some centralized mega-brains, enough that allows them to outcompete the more numerous multi-agent model.
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Or perhaps, we could just talk about "information" in the Shannon sense, where these redundancies are formalized.
Ah great insight - we could quantify information novelty/scarcity/surprise. I wonder if we could use Shannon to model how fast our infinite aliens would get bored.
In any event, you can imagine a sensor-rich world where there's simply more, and more useful, info avail to some centralized mega-brains, enough that allows them to outcompete the more numerous multi-agent model.
You just wrote the plot to at least half of the next decade's dystopian scifi movies.
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decision_ability = sum(intelligence of agent(s)) + sum(value of information gathered) - sum(information transaction costs) - sum(information gathering costs).