As I read it I was thinking of the phenomenon of endgame. Although the concept can apply to many games, it is most common in chess, which is where I study the subject exhaustively. As the middle game draws to a close and the endgame approaches, a fundamental change occurs in the players' attitudes, and, I swear, a macabre eeriness descends over the board. The surviving pieces take on different roles and importance. For instance, pawns become vital; not only can they move to the opponent's first line and become queens but they provide important defensive barriers that limit the other player's moves. Similarly the king spends most of the game in hiding, protected by his minions. But in endgame, he often must go on the offensive himself. Each