Optimal Transport: A Semi-Discrete Approach

This book focuses on problems at the interplay between the theory of partitions and optimal transport with a view toward applications. Topics covered include problems related to stable marriages and stable partitions, multipartitions, optimal transport for measures and optimal partitions, and finally cooperative and noncooperative partitions. All concepts presented are illustrated by examples from game theory, economics, and learning.

• Presents optimal transport with a view toward applications in game theory and economics
• Covers the interplay between the theory of partitions and optimal transport
• Of interest to researchers and graduate students in applied mathematics