English

Complexity of Computing the Shapley Value in Games with Externalities

Computer Science and Game Theory 2022-12-01 v2 Combinatorics

Abstract

We study the complexity of computing the Shapley value in games with externalities. We focus on two representations based on marginal contribution nets (embedded MC-nets and weighted MC-nets). Our results show that while weighted MC-nets are more concise than embedded MC-nets, they have slightly worse computational properties when it comes to computing the Shapley value.

Cite

@article{arxiv.1909.01769,
  title  = {Complexity of Computing the Shapley Value in Games with Externalities},
  author = {Oskar Skibski},
  journal= {arXiv preprint arXiv:1909.01769},
  year   = {2022}
}
R2 v1 2026-06-23T11:05:15.527Z