Systems across logistics, economics, ecology, and computing, where agents aim to maximize gain or minimize cost in resource allocation, exhibit behavior consistent with constrained optimization. This study combines optimal transport theory and maximum-entropy models to introduce a class of bipartite random graphs that enables systematic characterization of how dense, entropic graphs evolve into sparse, efficient structures, revealing the most probable network configurations under partial optimization.
- Lorenzo Buffa
- Dario Mazzilli
- Aurelio Patelli