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An alternative characterization of the weighted Banzhaf value (2000)

Nowak, Andrzej S. ; Radzik, Tadeusz

Springer

International journal of game theory 29 (2000), S. 127-132

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ISSN: 1432-1270

Keywords: Key words: Cooperative games, Banzhaf value, weighted value.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Economics

Notes: Abstract. We provide a new characterization of the weighted Banzhaf value derived from some postulates in a recent paper by Radzik, Nowak and Driessen [7]. Our approach owes much to the work by Lehrer [4] on the classical Banzhaf value based on the idea of amalgamation of pairs of players and an induction construction of the value. Compared with the approach in [7] we consider two new postulates: a weighted version of Lehrer’s “2-efficiency axiom” [4] and a generalized “null player out” property studied in terms of symmetric games by Derks and Haller [2].

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s001829900027

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