A two-player game of Keep-or-Exchange, 
in which players aim to get the higher score than 
the opponent in the game, from one, two or three 
chances of sampling.  The game is investigated 
as a continuous game on the unit square.  It is 
shown that there exists a common optimal strategy 
for the players which would be called ^^ ^^ golden 
trisection strategy".  Related two other interesting
games are also discussed.