Abstract:In the ε-Consensus-Halving problem, we are given n probability measures v 1 , . . . , v n on the interval R = [0, 1], and the goal is to partition R into two parts R + and R − using at most n cuts, so thatThis fundamental fair division problem was the first natural problem shown to be complete for the class PPA, and all subsequent PPA-completeness results for other natural problems have been obtained by reducing from it.We show that ε-Consensus-Halving is PPA-complete even when the parameter ε is a constant. I… Show more
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