Simultaneous Cake Cutting

We introduce the simultaneous model for cake cutting (the fair allocation of a divisible good), in which agents simultaneously send messages containing a sketch of their preferences over the cake. We show that this model enables the computation of divisions that satisfy proportionality — a popular fairness notion — using a protocol that circumvents a standard lower bound via parallel information elicitation. Cake divisions satisfying another prominent fairness notion, envy-freeness, are impossible to compute in the simultaneous model, but admit arbitrarily good approximations.

Authors

• Eric Balkanski Carnegie Mellon University
• Simina Brânzei
• David Kurokawa
• Ariel Procaccia

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