Additivizations of nonadditive measures

Itzhak Gilboa (1)

1 TAU - Tel Aviv University

The concept of an additivization of a nonadditive probability measure is introduced and studied. The relation to cooperative game theory is explored, and it is shown that, in many cases of interest, additivizations may be considered as a special type of semivalues.

Keywords: set functions; additivity; cooperative games

Domains: Humanities and Social Sciences; Economics and Finance; Economy and decision science

Itzhak Gilboa. Additivizations of nonadditive measures. Mathematics of Operations Research, 1989, vol.14, n°1, pp. 1-17. ⟨10.1287/moor.14.1.1⟩. ⟨hal-00481660⟩