| Partial Leading in Pursuit and Evasion Games |
Dec 2010 |
13 pages |
| Authors:
Chris Arney; Elisha Peterson; MILITARY ACADEMY WEST POINT NY DEPT OF MATHEMATICAL SCIENCES
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 | Pursuit and evasion games encompass a large class of games in which one or more pursuers attempt to find and/or capture one or more evaders . These games have immense practical importance, yet their mathematics is not fully-understood outside of a limited number of simple cases. This paper introduces PursuitSim, a simulation platform for pursuit and evasion games in which the user interactively explores these games by dynamically adjusting algorithm ... |
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| Models and Metrics of Geometric Cooperation |
Dec 2010 |
13 pages |
| Authors:
Chris Arney; Kristin Arney; Elisha Peterson; MILITARY ACADEMY WEST POINT NY DEPT OF MATHEMATICAL SCIENCES
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| A basic way that entities can cooperate with one another is by sharing of tasks through synchronized movement to balance their geometric load. For example, players of a team defending a goal may be assigned equal-spaced zones to defend or units in a military force may be assigned equal-spaced sectors to control. As the dynamics of the situation unfold and as entities move, withdraw, or enter the space; the other ... |
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| Modeling of Diffusion through a Network: A New Approach using Cellular Automata and Network Science Techniques |
May 2010 |
40 pages |
| Authors:
Steven Kinney; Elisha Peterson; MILITARY ACADEMY WEST POINT NY NETWORK SCIENCE CENTER (NSC)
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| This paper investigates the sensitivity of current models that describe diffusion or the spread of infection to changes in topology and/or initial conditions. We construct a computer simulation based on cellular automata that allows for customization of network and infection scenarios. Using the simulation we run several batch runs with varied circumstances to assess the impact of small changes in topology and initial conditions upon diffusion through a network. We ... |
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| Cooperation in Social Networks: Communication, Trust, and Selflessness |
Dec-2008 |
9 pages |
| Authors:
David C Arney; Elisha Peterson; ARMY RESEARCH OFFICE RESEARCH TRIANGLE PARK NC
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| The Army's myriad social networks connect not only humans and soldiers, but also machines, computers, and robots. And most of the social/biological/physical/informational connections in these networks are in the form of cooperation - entities working together to achieve a common goal. So how does this complex web of relationships, collaborations, and communities of diverse entities work? This paper introduces a new framework in which measures of cooperation can be precisely ... |
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