duel_simulation, a C++ code which simulates N instances of a duel between two players.
Player A fires at player B, and hits with a probability of A_ACCURACY. If Player A misses, then Player B fires at Player A, hitting with a probability of B_ACCURACY.
The duel continues with alternating shots until only one player survives.
The simulation is intended to estimate the probabilities that a player will survive.
The exact probability that player 1 will survive is
P(1) / ( P(1) + P(2) - P(1) * P(2) )while player 2's chance is
P(2) * ( 1 - P(1) ) / ( P(1) + P(2) - P(1) * P(2) ).
The computer code and data files described and made available on this web page are distributed under the MIT license
duel_simulation is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
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