A Securities Selling Game


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Abstract

We consider the sale of k securities in n trades, with not more than one security per trade. The sale results are assessed using the competitive ratio of the sum of k highest security prices to the total sale revenue. Lorenz constructed the solution of the game for 2kn. In this article, the solution is obtained in the general case both for the competitive ratio and for the Savage regret criterion.

About the authors

V. V. Morozov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

Author for correspondence.
Email: vmorosov@mail.ru
Russian Federation, Moscow

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