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I probably will answer your question in a simple fashion before getting to a much mathematical term because I may suspect you are not familiar with stochastic terms/jargons yet. A variable could be called a martingale if the expectation of the variable at t+1 equals to the expectations of the variable at t (basically we joke that if we don't learn anything ...


Your solution is an optimization, but your symptom is game theory. Managers will maximize their share through gaming by placing emphasis on growing the variables that you use for your allocation. For example if you give department A 100,000 because there are 10 employees out of 100 total, the manager will hire another employee at a rate below the marginal ...

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