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We utilize graphical representations of Dictator Games which generate rich individual-level data. Our baseline experiment employs budget sets over feasiblepayoff-pairs. We test these data for consistency with utility maximization, and werecover the underlying preferences for giving (trade-offs between own payoffs andthe payoffs of others). Two further experiments augment the analysis. An extensiveelaboration employs three-person budget sets to distinguish preferences for givingfrom social preferences (trade-offs between the payoffs of others). And an intensiveelaboration employs step-shaped sets to distinguish between behaviors thatare compatible with well-behaved preferences and those compatible only with notwell-behaved cases. (JEL C72, D64)