semivalues 0.0.4

A package for computing semivalues.

This package provides functionality to compute semivalues and related concepts. The most prominent example of a semivalue is the Shapley value.

Broad Functionality:

• Compute Shapley value exact or approximately
• Compute decomposition matrices based on the Shapley value

Detailed Functionality:

• Compute Shapley value (exact and approximately)
• Compute Shapley value decomposition by size (exact and approximately) (n x n matrix where each entry is aggregated over the respective subset size)
• Compute Shapley value of a player to another player (exact and approximately) (Hausken, Kjell, and Matthias Mohr. "The value of a player in n-person games." Social Choice and Welfare 18 (2001): 465-483.)

For the approximation methods of the Shapley value we refer to https://arxiv.org/pdf/1306.4265