Abstract: Because of the unbalanced resource distribution in the path choice of the router, a new game-theoretic approach is presented, which regards the anycast route of IPv6 as an uncooperate game in many players. A game model with a player’s rate distribution stratety and delay avail in all paths is given. The player’s rate distribution which can assure the Nash equilibrium is solved. Based on the Nash Equilibrium, a balanced route arithmetic which asscures the best delay and the fair distribution in all players is presented. Simulation results indicate that this arithmetic can solve the balanced resource distribution in the router in effect.

Key words: resource distribution, noncooperative game, Nash equilibrium, balance route