Game theory;
Adversarial;
Competitive;
Cooperative;
Differential equations;
COMPETITION;
MODEL;
D O I:
10.1007/s13235-024-00593-4
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The growing integration of technology within human processes has significantly increased the difficulty in optimising organisational decision-making, due to the highly coupled and non-linear nature of these systems. This is particularly true in the presence of dynamics for resource competition models between adversarial teams. While game theory provides a conceptual lens for studying such processes, it often struggles with the scale associated with real-world systems. This paper contributes to resolving this limitation through a parallelised variant of the efficient-but-exact nash dominant game pruning framework, which we employ to study the optimal behaviour under adversarial team dynamics parameterised by the so-called networked Boyd-Kuramoto-Lanchester resource competition model. In doing so, we demonstrate a structural bias in competitive systems towards concentrating organisational resources away from regions of competition to ensure resilience.