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The Gunfight at the OK Corral

This article uses a generalization of a three-way gunfight to motivate the construction and solution to a first order linear system of difference equations.  The method of undetermined coefficients is used to develop a general solution to the dynamical system.  Probabilities of the system converging to each final (absorbing) state are found.  According to the author, many mathematical models can be approached from the point of view of discrete dynamical systems.

Old Node ID: 
1844
Author(s): 
James T. Sandefur (Georgetown University)
Publication Date: 
Thursday, June 5, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
February, 1989
Subject(s): 
Statistics and Probability
Probability
Stochastic Processes
Topic(s): 
Linear Algebra
Applications: Dynamical Systems
Application: Markov
Matrix Algebra
Stochastic Processes, Discrete Markov Chains
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
24.00
Rating Sum: 
70.00
Rating Average: 
2.92
Author (old format): 
James T. Sandefur
Applicable Course(s): 
3.8 Linear/Matrix Algebra
7.2 Probability
Modify Date: 
Sunday, August 26, 2012
Average: 2.9 (24 votes)

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