By introducing a specified definition of the equilibrium
value of three-person two-choice games of ^^ ^^ odd-man-wins"
and ^^ ^^ odd-man-out" are formulated and 
solved and then results are applied to the 
sequential $n$-stage-game version.
It is shown that, in the equilibrium play of the 
$n$-stage Odd-Man-Wins each player chooses R for small 
offers and randomizes R and A, for other offers, 
whereas in the $n$-stage Odd-Man-Out, each player randomizes 
R and A for every offer of any size, and pure-strategy 
triple A-A-A doesn't appear (expect at the last stage) 
even when players face a very large offer.