# A Confirmation of a Conjecture on the Feldman's Two-armed Bandit Problem

arXiv: https://arxiv.org/abs/2206.00821 · HTML: https://mlsanity.com/paper/2206.00821/

## Key facts

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- First posted on arXiv 2 Jun 2022.

## Abstract (arXiv)

Myopic strategy is one of the most important strategies when studying bandit problems. In this paper, we consider the two-armed bandit problem proposed by Feldman. With general distributions and utility functions, we obtain a necessary and sufficient condition for the optimality of the myopic strategy. As an application, we could solve Nouiehed and Ross's conjecture for Bernoulli two-armed bandit problems that myopic strategy stochastically maximizes the number of wins.