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The present research investigated the effect of sufficiency of reward on the principles that elementary school children employ to allocate rewards to others. Results indicated that Justice children allocated a smaller proportion of reward to the winner of a game when they were distributing insufficient and oversufficient quantities of reward than when they were distributing a sufficient quantity of reward. Results also indicated that kindergarten children allocated significantly less reward to the winner than did older children. These results were interpreted as indicating that no single norm can explain the reward allocation behavior of children. However, the results reaffirmed past findings which indicated that the norm of equity is the most important determinant of children’s reward allocation behavior.