2016-144.md

course	course_year	question_number	tags	title	year
Topics in Analysis	II	144	II 2016 Topics in Analysis	Paper 3, Section I, $2 \mathrm{H}$	2016

In the game of 'Chicken', $A$ and $B$ drive fast cars directly at each other. If they both swerve, they both lose 10 status points; if neither swerves, they both lose 100 status points. If one swerves and the other does not, the swerver loses 20 status points and the non-swerver gains 40 status points. Find all the pairs of probabilistic strategies such that, if one driver maintains their strategy, it is not in the interest of the other to change theirs.