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Adversarial decisions on complex dynamical systems using game theory

Andrew C. Cullen, Tansu Alpcan and Alexander C. Kalloniatis

Physica A: Statistical Mechanics and its Applications, 2022, vol. 594, issue C

Abstract: We apply computational Game Theory to a unification of physics-based models that represent decision-making across a number of agents within both cooperative and competitive processes. Here the competitors try to both positively influence their own returns, while negatively affecting those of their competitors. Modelling these interactions with the so-called Boyd–Kuramoto–Lanchester (BKL) complex dynamical system model yields results that can be applied to business, gaming and security contexts. This paper studies a class of decision problems on the BKL model, where a large set of coupled, switching dynamical systems are analysed using game-theoretic methods.

Keywords: Dynamical systems; Game theory; Decision making; Monte Carlo Tree Search (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000826

DOI: 10.1016/j.physa.2022.126998

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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