Open AccessA leader-followers game of emergency preparedness for adverse events
Author(s) -
Myles Nahirniak,
M Cojocaru,
Tangi Migot
Publication year - 2021
Publication title -
mathematics in applied sciences and engineering
Language(s) - English
Resource type - Journals
ISSN - 2563-1926
DOI - 10.5206/mase/11093
Subject(s) - damages , preparedness , globe , natural disaster , event (particle physics) , population , emergency management , resource (disambiguation) , business , distribution (mathematics) , operations management , operations research , marketing , natural resource economics , environmental economics , economics , computer science , engineering , geography , psychology , economic growth , political science , management , mathematics , law , computer network , mathematical analysis , sociology , quantum mechanics , physics , demography , neuroscience , meteorology
Natural disasters occur across the globe, resulting in billions of dollars of damage each year. Effective preparation before a disaster can help to minimize damages, economic impact, and loss of human life. This paper uses a game theory framework to set up a leader-followers model for resource distribution to several geographic zones before an adverse event. The researchers model population members who may choose to prepare in advance of an event by acquiring supplies, whereas others may wait until the last minute. Failure to prepare in advance could result in a significant loss due to the chance that supplies may no longer be available. Numerical simulations are run to determine how the leader should distribute supplies to maximize the preparedness of the overall population. It was found that population size is a significant factor for supply distribution, but the behaviour of individuals within a zone is also important. Much of the current resource allocation research focuses on the logistics and economics of supply distribution, but this paper demonstrates that social aspects should also be considered.