Many major league all-stars like Alex Rodriguez -LRB- United States -RRB- , Ichiro Suzuki -LRB- Japan -RRB- and Vladimir Guerrero -LRB- Dominican Republic -RRB- have signed to play for their countries in the tournament , which takes place March 3 to 20 in Tokyo ; Orlando , Fla. ; Phoenix ; San Juan , P.R . ; Anaheim , Calif. ; and San Diego .