It's hard to find a better exemplar for competition than chess. The image of two brilliant minds locked in a battle of skill and will-in which chance plays little or no apparent role-is compelling. Even people who have scant knowledge of the game instinctively recognize that chess is unusual in terms of its intellectual complexity and the strategic demands it places on players. Can strategists learn anything from chess players about what it takes to win? To find out, H BR senior editor Diane L. Coutu talked with Garry Kasparov, the world's number one player since 1984. Kasparov believes that success in both chess and business is very much a question of psychological advantage; the complexity of the game demands that players rely heavily on their instincts and on gamesmanship. In this wide-ranging interview, Kasparov explores the power of chess as a model for business competition; the balance that chess players strike between intuition and analysis; the significance of his loss to IBM's chess-playing computer, Deep Blue; and how his legendary rivalry with Anatoly Karpov, Kasparov's predecessor as World Chess Champion, affected his own success. Kasparov also shares his solution to what he calls the champion's dilemma, a question for all world masters, whether they are in business, sports, or chess: Where does a virtuoso go after he has accomplished everything he's ever wanted to, even beyond his wildest imagination? If you are lucky, says Kasparov, your enemies will push you to be passionate about staying at the top.