Ignorance is Often Bliss: Envy with Incomplete Information
نویسندگان
چکیده
We study the problem of fairly allocating indivisible goods to agents. Existing literature that focuses on the concept of envy inherently assumes that each agent can observe which goods the other agents are allocated before deciding if she envies them. In this paper, we propose a novel policy in which the principal hides from each agent the allocations made to the other agents. Each agent now attempts to infer these allocations, based on her knowledge of her own allocation, the mechanism used to divide the goods, and a prior over how the other agents value the goods, and then decides whether she envies them in expectation. We propose eight measures for the total envy in the system, and show that under six of them, our policy is guaranteed to (weakly) reduce the total envy, for every mechanism on every instance. Our experiments show reduction of envy on synthetic as well as real-world data.
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