Interactive game system with computer-animated game pieces

The computer game system of claim wherein during each successive round that occurs after the first round, the game server allows each of the game pieces in the set having the fewest number of activated game pieces to separately engage in only one battle with only one of the game pieces in the remaining set so that no game piece in the remaining set engages in greater than one battle during each successive round.

An interactive computer game system for one or more players including a first player, the computer game system comprising:

• a game server that generates a pool of game pieces, the game server allowing the first player to select a set of first game pieces from the pool equal to one-half of the game pieces in the pool, the remaining game pieces forming a set of second game pieces;
• wherein during a first round, the game server allows each of the first game pieces to separately engage in a single battle with only one of the second game pieces, and each of the second game pieces to separately engage in a single battle with only one of the first game pieces, the outcome of each battle being determined by an algorithm that is based upon an adjustable battle parameter of the first game piece that is adjustable by the first player in each such battle.