Der Open-access-publikationsserver Der Zbw – Leibniz-informationszentrum Wirtschaft the Open Access Publication Server of the Zbw – Leibniz Information Centre for Economics Dueling Algorithms Dueling Algorithms
Der Open-access-publikationsserver Der Zbw – Leibniz-informationszentrum Wirtschaft the Open Access Publication Server of the Zbw – Leibniz Information Centre for Economics Dueling Algorithms Dueling Algorithms
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Terms of use: The ZBW grants you, the user, the non-exclusive right to use the selected work free of charge, territorially unrestricted and within the time limit of the term of the property rights according to the terms specified at → http://www.econstor.eu/dspace/Nutzungsbedingungen By the first use of the selected work the user agrees and declares to comply with these terms of use. Abstract We revisit classic algorithmic search and optimization problems from the perspective of competition. Rather than a single optimizer minimizing expected cost, we consider a zero-sum game in which an optimization problem is presented to two players, whose only goal is to outperform the opponent. Such games are typically exponentially large zero-sum games, but they often have a rich combinatorial structure. We provide general techniques by which such structure can be leveraged to find minmax-optimal and approximate minmax-optimal strategies. We give examples of ranking, hiring, compression, and binary search duels, among others. We give bounds on how often one can beat the classic optimization algorithms in such duels.