Other discount tickets
Small discounts are available for set ticket (回数券, kaisūken) and round trip tickets (往復割引, ōfukuwaribiki) that are available for selected sections. Other tickets provide a discount when purchased in advance (早得, hayatoku). Discount ticket shops around major stations also sell shinkansen tickets at small discounts.
Travel packages such as the various shinkansen tour packages by Japanican or the Puratto Kodama Economy Plan (for travel along the Tokaido Shinkansen by Kodama) can provide more substantial savings, but have to be purchased in advance.