Multilinear Extensions of Games

The multilinear extension of an n-person game v is a function defined on the n-cube I N which is linear in each variable and which coincides with v at the conrners of the cube, satisfying f(x) = v({i ∣ x i = 1}). Multilinear extensions are useful as a help in computing the values of large games, and give a generalization of the Shapley value.

• 저널Management Science · 18(5-part-2) · 64–79
• 토픽Artificial Intelligence in Games · Artificial Intelligence
• DOI10.1287/mnsc.18.5.64
• 저자Guillermo Owen