Axiomatizations of Banzhaf permission values for games with a permission structure,10.1007/s00182-009-0221-2,International Journal of Game Theory,René

Axiomatizations of Banzhaf permission values for games with a permission structure (Citations: 1)


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In games with a permission structure it is assumed that players in a cooperative transferable utility game are hierarchically ordered in the sense that there are players that need permission from other players before they are allowed to cooperate. We provide axiomatic characterizations of Banzhaf permission values being solutions that are obtained by applying the Banzhaf value to modified TU-games. In these characterizations we use power- and player split neutrality properties. These properties state that splitting a player’s authority and/or contribution over two players does not change the sum of their payoffs.

Journal: International Journal of Game Theory - INT J GAME THEORY , vol. 39, no. 3, pp. 445-466, 2010

DOI: 10.1007/s00182-009-0221-2

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Axiomatizations of Banzhaf permission values for games with a permission structure,10.1007/s00182-009-0221-2,International Journal of Game Theory,René

References (15)

An axiomatization of the Banzhaf value for cooperative games on antimatroids (Citations: 2)

Collusion properties of values (Citations: 24)

Games with permission structures: The conjunctive approach (Citations: 69)

An axiomatization of the Banzhaf value (Citations: 61)

An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure (Citations: 40)

Citations (1)

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