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 MIT license

Languages:

truel_simulation is available in a MATLAB version and a Python version.

Related Data and codes:

truel_simulation_test

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Reference:

  1. Martin Gardner,
    "The Triangular Duel",
    The Second Scientific American Book of Mathematical Puzzles and Diversions,
    Simon and Schuster, 1961.
  2. Marc Kilgour, Steven Brams,
    The Truel,
    Mathematics Magazine,
    Volume 70, Number 5, December 1997, pages 315-326.
  3. Paul Nahin,
    Duelling Idiots and Other Probability Puzzlers,
    Princeton University Press, 2000,
    ISBN13: 978-0691009797,
    LC: QA273.N29.
  4. 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.