Game-theoretic Duel : A State-of-the-Art

게임 이론적 결투

The duel is an extreme case of game situations. The duel is of zero-sum type, but a infinite game. This duel situation appears not only in extreme competitive situations such as war, but also in economic situations such as bidding. The study on duel situations started from late 1940's, but considerable contributions have been made in 1960's by Ancker, Restrepo, Yanovskaya, Kimeldorf among others. Specially Kimeldorf recently has made big contribution in developing the theory of the game-theoretic duel. The purpose of this paper is to summarize and systemize the theory of the game-theoretic duel. In the first part, noisy duel situations shall be dealt with, and in the second part, silent duel shall follow. Finally these two situations shall be generalized in the form of continuous firing model.