# On the Convergence of Projected Alternating Maximization for Equitable and Optimal Transport

@article{Huang2021OnTC, title={On the Convergence of Projected Alternating Maximization for Equitable and Optimal Transport}, author={Minhui Huang and Shiqian Ma and Lifeng Lai}, journal={ArXiv}, year={2021}, volume={abs/2109.15030} }

This paper studies the equitable and optimal transport (EOT) problem, which has many applications such as fair division problems and optimal transport with multiple agents etc. In the discrete distributions case, the EOT problem can be formulated as a linear program (LP). Since this LP is prohibitively large for general LP solvers, Scetbon et al. [21] suggests to perturb the problem by adding an entropy regularization. They proposed a projected alternating maximization algorithm (PAM) to solve…

## One Citation

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