Teraoka-type two-person nonzero-sum silent duel |
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| Authors: | V J Baston A Y Garnaev |
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| Institution: | (1) Department of Mathematics, University of Southampton, Southampton, England;(2) Department of Computational Mathematics, Civil Engineering Institute, Saint Petersburg, Russia |
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| Abstract: | The paper discusses a silent nonzero-sum duel between two players each of whom has a single bullet. The duel is terminated at a random time in 0, 1] given by a cumulative distribution function. It is shown that the game has a unique Nash equilibrium under a wide range of possible payoff values for simultaneous firing. This contrasts with a very similar game considered by Teraoka for which there are many Nash equilibria.This work was carried out while the second author was visiting the University of Southampton on a Postdoctoral Fellowship of The Royal Society of London. |
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| Keywords: | Nonzero-sum games Nash equilibria games of timing silent duels |
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