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Proceedings Paper

Application of the replicator equation to decision-making processes in border security
Author(s): David Sicilia; George Cybenko
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Paper Abstract

The replicator equations are first-order (in time), nonlinear differential equations which can be used to model the time evolution of probabilities in evolutionary game theory. They are obtained by assuming that the percentage rate of change of a probability be simply proportional to the difference between a payoff and some average payoff. Here we apply these equations to obtain the time evolution two players' strategies in a zero-sum game which models the illegal transport of a commodity across a national border and of the efforts of agents to intercept it.

Paper Details

Date Published: 18 June 2012
PDF: 10 pages
Proc. SPIE 8359, Sensors, and Command, Control, Communications, and Intelligence (C3I) Technologies for Homeland Security and Homeland Defense XI, 83590L (18 June 2012); doi: 10.1117/12.924754
Show Author Affiliations
David Sicilia, Dartmouth College (United States)
George Cybenko, Dartmouth College (United States)


Published in SPIE Proceedings Vol. 8359:
Sensors, and Command, Control, Communications, and Intelligence (C3I) Technologies for Homeland Security and Homeland Defense XI
Edward M. Carapezza, Editor(s)

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