Application of the replicator equation to decision-making processes in border security

David Sicilia; George Cybenko

doi:10.1117/12.924754

18 June 2012 Application of the replicator equation to decision-making processes in border security

David Sicilia, George Cybenko

Proceedings Volume 8359, Sensors, and Command, Control, Communications, and Intelligence (C3I) Technologies for Homeland Security and Homeland Defense XI; 83590L (2012) https://doi.org/10.1117/12.924754
Event: SPIE Defense, Security, and Sensing, 2012, Baltimore, Maryland, United States

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.

Citation Download Citation

David Sicilia and George Cybenko "Application of the replicator equation to decision-making processes in border security", Proc. SPIE 8359, Sensors, and Command, Control, Communications, and Intelligence (C3I) Technologies for Homeland Security and Homeland Defense XI, 83590L (18 June 2012); https://doi.org/10.1117/12.924754

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available