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Paper · arXiv

Evaluating AI Investment Strategies

We study the problem of auditing a black-box algorithmic decision-maker from observable inputs and outputs alone. Our main result is an exact decomposition: under precisely characterized conditions, the cumulative \emph{regret} of a dynamic policy equals the sum of per-period covariances between the cost vector and the policy's decision. This extends the single-period identity of Aldridge~(2026) to the full multi-period setting of stochastic dynamic programming. We prove the identity holds exactly under i.i.d. costs and mean-unbiased Markov policies, derive closed-form bias corrections for non-stationary and time-varying cases, and establish the discounted-horizon analog. A Bellman recurs...

AuthorsIrene Aldridge
Primary categoryecon.EM
Published7 June 2026
Last updated at source7 June 2026
econ.EMcs.AIq-fin.PMq-fin.RMq-fin.ST
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