ABSTRACT

In sums of games it is a move in just one part that counts as a move in the sum. In the horse game Left must move every horse he can two places West and one place North or South; Right, for his part, must move every horse he can two places North and one place East or West. Each player is limited to just 2 of the possibly 8 directions a knight can move in; there may be arbitrarily many horses on the same square; and the same horse is moved by both players. A player will be unable to move in the game if there is any one horse which he can't move. Everything depends on the first horse to finish, for this stops the whole game. If one horse—the favorite—seems nearer to finishing than the others you should treat it with particular care.