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If the math of utility is interesting to you, check out Hal Varian's microeconomics book (he is/was chief economist at Google) or the intro grad text for microeconometrics Mas-Collel, Winston, and Green.

Utility theory's primitives are defined before the actual function.

Social choice theory is covered in MWG -- arrow's impossibility theorem is absolutely fascinating!

The field of mechanism design relies heavily on utility theory -- it's effectively the inverse of game theory, or, how to structure systems and incentives to get desired outcomes.



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