A Game Within A Game

What's fun in an exhibition game(a game without ratings at stake) played for practice a game within a game can be played. When an opponent has little or no hope for a win the dominant player offers a draw, what is there for the player about to lose do? Take it much to his surprise a player about to lose would go for such an offer I know I have; a draw beats an almost certain death! Rather than winning an exhibition game offering a draw and having it accepted makes me feel better than winning. Is it a show of mercy? Maybe it is maybe not if both parties can go away happy then such a drawl trumps a victory in my mind, this is the feeling.