Patent ID: 7201655

Claim:
A method comprising: generating a first outcome of a game, the first outcome defining a plurality of strategies, the plurality of strategies including an optimum strategy; determining a first expected value of the optimum strategy; selecting a suboptimum strategy from the plurality of strategies, the suboptimum strategy having a second expected value that is less than the first expected value; identifying at least one final outcome; increasing a payout ratio of the identified at least one final outcome from a first payout ratio to a second payout ratio; determining a third expected value of the optimum strategy after increasing the payout ratio of the identified at least one final outcome; determining a fourth expected value of the suboptimum strategy after increasing the payout ratio of the identified at least one final outcome; selecting the identified at least one final outcome if: the first expected value is substantially equal to the third expected value, the second expected value is less than the fourth expected value, and the fourth expected value is not greater than the third expected value; increasing a payout ratio associated with the selected at least one final outcome; receiving an indication of a strategy of a player; generating a second outcome based on the first outcome and the strategy of the player; determining whether the selected at least one final outcome includes the second outcome; determining a benefit based on the increased payout ratio and the second outcome if the second outcome is associated with the selected at least one final outcome; and providing the benefit to the player.