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Minimax Regret

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Abstract

Minimax regret (Savage, Journal of the American Statistical Association 46, 55–67, 1951) is the principle of optimizing worst-case loss relative to some measure of unavoidable risk. In statistical decision theory, it provides a non-Bayesian alternative to minimax. It differs from minimax by fulfilling von Neumann–Morgenstern independence but exhibiting menu dependence. Minimax regret has seen occasional use in statistics, and implausible implications of minimax in certain economic problems recently led to its reconsideration by economists.

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Stoye, J. (2018). Minimax Regret. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_2965

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