truel_simulation


truel_simulation, a MATLAB code which simulates N instances of a duel between three players.

Player 1 fires at player 2 or 3, and hits with a probability of P(1). Then, if Player 2 is alive, he fires at Player 1 or 3, hitting with a probability of P(2). Then, if Player 3 is alive, he fires at Player 1 or 2, hitting with a probability of P(3). Play continues until only one duellist remains.

The simulation is intended to estimate the probabilities that a player will survive, and the number of turns required.

Usage:

[ s, turn_average ] = truel_simulation ( p, duel_num )
where

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

truel_simulation is available in a MATLAB version.

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Reference:

  1. Marc Kilgour, Steven Brams,
    The Truel,
    Mathematics Magazine,
    Volume 70, Number 5, December 1997, pages 315-326.
  2. Paul Nahin,
    Duelling Idiots and Other Probability Puzzlers,
    Princeton University Press, 2000,
    ISBN13: 978-0691009797,
    LC: QA273.N29.
  3. Martin Shubik,
    "Does the Fittest Necessarily Survive?",
    in Readings in Game Theory and Political Behavior,
    edited by Martin Shubik,
    Doubleday, 1954,
    LC: H61.S53.

Source Code:


Last revised on 02 April 2019.