We study nonzero-sum multi-person multiple stopping games with players' priorities. The existence of Nash equilibrium is proved. Examples of multi stopping of Markov chains are considered. The game may also be presented as a special case of a stochastic game which leads to many variations of it, in which stopping is a part of players' strategies.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc71-0-7,
author = {E. Z. Ferenstein},
title = {On infinite horizon multi-person stopping games with priorities},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {93-102},
zbl = {1103.60045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc71-0-7}
}
E. Z. Ferenstein. On infinite horizon multi-person stopping games with priorities. Banach Center Publications, Tome 72 (2006) pp. 93-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc71-0-7/