Uniqueness of Nash equilibrium in vaccination games

Autor:	Fan Bai
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Epidemiology game theory uniqueness of Nash equilibrium vaccination game homogeneous mixing population heterogeneous mixing population compartmentalepidemic models final size relations population dynamics Environmental sciences GE1-350 Biology (General) QH301-705.5
Zdroj:	Journal of Biological Dynamics, Vol 10, Iss 1, Pp 395-415 (2016)
Druh dokumentu:	article
ISSN:	1751-3758 1751-3766 17513758
DOI:	10.1080/17513758.2016.1213319
Popis:	One crucial condition for the uniqueness of Nash equilibrium set in vaccination games is that the attack ratio monotonically decreases as the vaccine coverage level increasing. We consider several deterministic vaccination models in homogeneous mixing population and in heterogeneous mixing population. Based on the final size relations obtained from the deterministic epidemic models, we prove that the attack ratios can be expressed in terms of the vaccine coverage levels, and also prove that the attack ratios are decreasing functions of vaccine coverage levels. Some thresholds are presented, which depend on the vaccine efficacy. It is proved that for vaccination games in homogeneous mixing population, there is a unique Nash equilibrium for each game.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f5c81dd67bc44a4288bc59f734ee8ba9 Zobrazit plný text záznamu View record in DOAJ