Axiomatic characterizations under players nullification

We provide axiomatic characterizations of the solutions of transferable utility (TU) games on the fixed player set, where at least three players exist. We introduce two axioms on players’ nullification. One axiom requires that the difference between the effect of a player’s nullification on the nullified player and on the others is relatively constant if all but one players are null players. Another axiom requires that a player’s nullification affects equally all of the other players. These two axioms characterize the set of all affine combinations of the equal surplus division and equal division values, together with the two basic axioms of efficiency and null game. By replacing the first axiom on players’ nullification with appropriate monotonicity axioms, we narrow down the solutions to the set of all convex combinations of the two values, or to each of the two values.

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On axiomatic characterizations of three pairs of covering based approximation operators

Information Sciences ◽

10.1016/j.ins.2009.08.031 ◽

2010 ◽

Vol 180 (2) ◽

pp. 274-287 ◽

Cited By ~ 60

Author(s):

Yan-Lan Zhang ◽

Jinjin Li ◽

Wei-Zhi Wu

Keyword(s):

Axiomatic Characterizations ◽

Approximation Operators

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Axiomatic characterizations of (quasi-) L-statistics and S-statistics and the Producer Assessment Problem

Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) ◽

10.2991/eusflat.2011.112 ◽

2011 ◽

Cited By ~ 4

Author(s):

Marek Gagolewski ◽

Przemyslaw Grzegorzewski

Keyword(s):

Axiomatic Characterizations

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Axiomatic characterizations of the egalitarian solidarity values

Mathematical Social Sciences ◽

10.1016/j.mathsocsci.2020.04.005 ◽

2020 ◽

Vol 108 ◽

pp. 109-115 ◽

Cited By ~ 1

Author(s):

Esther Gutiérrez-López

Keyword(s):

Axiomatic Characterizations

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OUTCOME LEVEL ANALYSIS OF BELIEF CONTRACTION

The Review of Symbolic Logic ◽

10.1017/s1755020312000354 ◽

2013 ◽

Vol 6 (2) ◽

pp. 183-204 ◽

Cited By ~ 4

Author(s):

SVEN OVE HANSSON

Keyword(s):

Belief Change ◽

Belief Contraction ◽

Axiomatic Characterizations ◽

Outcome Set ◽

Level Analysis

AbstractThe outcome set of a belief change operator is the set of outcomes that can be obtained with it. Axiomatic characterizations are reported for the outcome sets of the standard AGM contraction operators and eight types of base-generated contraction. These results throw new light on the properties of some of these operators.

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