Discrete Lanchester attrition models: the case of precautionary surrender
Abstract
Discrete Lanchester-type attrition models describe many types of antagonistic situations; the preferred interpretation is two fleets of battleships, each trying to sink the other. Such models may be characterised by a bivariate recurrence relation. Here I consider a restricted case in which a fleet that finds itself two or three units behind its opponent immediately surrenders. I present some theoretical and numerical results and suggest lines for further work.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2405.20740
- arXiv:
- arXiv:2405.20740
- Bibcode:
- 2024arXiv240520740H
- Keywords:
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- Physics - Physics and Society
- E-Print:
- 14 pages, 11 figures