You know, like when one guy in one car "takes" on the other guy in another car "athwart" the alleyway in a deadly chicken-play and whoever "flinches" first is the "loser/pussy". Such scenes are present in Last Action Hero, Sense8 and a lot of other 80s and 90s action movies. I know there's a "proper" name for such scenes I just can't seem, for the love of me, to remember it.
The game is called chicken.
The name "chicken" has its origins in a game in which two drivers drive towards each other on a collision course: one must swerve, or both may die in the crash, but if one driver swerves and the other does not, the one who swerved will be called a "chicken," meaning a coward Wikipedia
Adjective sense of "cowardly" is at least as old as 14c. (compare hen-herte "a chicken-hearted person," mid-15c.). As the name of a game of danger to test courage, it is first recorded 1953. Etymology Online
It's called SHOWDOWN sequence(scene). After an action sequence/scene (a chase) comes a showdown sequence (a sequence, for example, where two brinkmen put on a chicken play(as it is known in film jargon) or in other words where two guys play "chicken" with each others to see who pussies out.