How to share when context matters: the Mobius value as a generalized solution for cooperative games

Billot, Antoine;Thisse, Jacques-François
(2002)

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  • Billot, Antoine
    Author
  • Thisse, Jacques-FrançoisUCLouvain
    Author
Abstract
All quasivalues rest on a set of three basic axioms (efficiency, null player, and additivity), which are augmented with positivity for random order values, and with positivity and partnership for weighted values. We introduce the concept of M©œbius value associated with a o sharing system and show that this value is characterized by the above three axioms. We then establish that (i) a M©œbius value is a random o order value if and only if the sharing system is stochastically rationalizable and (ii) a M©œbius value is a weighted value if and only if the o sharing system satisfies the Luce choice axiom.
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Billot, A., & Thisse, J.-F. (2002). How to share when context matters: the Mobius value as a generalized solution for cooperative games (CORE Discussion Papers 2002/25). https://hdl.handle.net/2078.5/83048