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This is an interesting problem, and seems potentially tractable, but other than my multiparty dynamics paper - mdpi.com/2504-2289/3/2/ - I've had very little luck finding anything, or formalizing anything myself. cc:
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I'm looking for something to read about the costs of failing to coordinate on an optimization problem in an organizational context. E.g. if Team A optimizes metric A, Team B optimizes metric B, and their systems interact, how well does the company do in aggregate?
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It does seem tractable. Thesis grade problem. Possible attack might be spin-glass models of frustration. The hard part would be modeling a non-spherical-cow system. I’m also vaguely reminded of some David Wolpert work on product distribution expansions from like 2004.