Each player has several strategies. If the first player chooses
Strategy *i* while the second player chooses Strategy *j*,
then Player 1 gains while Player 2 gains .
This outcome is represented by .
2-person games where the players' interests are completely opposed
are called *zero-sum* or *constant-sum* games: one player's
gain is the other player's loss. Games where the players' interests
are not completely opposed are called *variable-sum* games. Such
games arise in business on an everyday basis, and solving
them is not an easy task. Certain 2-person games admit *pure
strategies* whereas others require *mixed strategies*. A pure
strategy is one where, each time the players play the game, they
choose the same strategy. A mixed strategy is one where the
players introduce a random element in their choice of a strategy, thus
leaving the opponent guessing.

Mon Aug 24 16:04:54 EDT 1998