scholarly journals Two axiomatic characterizations for the system of spheres-based (and the Epistemic Entrenchment-based) multiple contractions

2015 ◽  
Vol 78 (3-4) ◽  
pp. 181-203 ◽  
Author(s):  
Maurício D. L. Reis ◽  
Pavlos Peppas ◽  
Eduardo Fermé
Keyword(s):  
Epistemic Entrenchment ◽  
Axiomatic Characterizations ◽  
System Of Spheres

scholarly journals EPISTEMIC ENTRENCHMENT-BASED MULTIPLE CONTRACTIONS

2013 ◽  
Vol 6 (3) ◽  
pp. 460-487 ◽  
Author(s):  
EDUARDO FERMÉ ◽  
MAURÍCIO D. L. REIS
Keyword(s):  
Axiomatic Characterization ◽  
Epistemic Entrenchment ◽  
New Class ◽  
Multiple Contraction ◽  
System Of Spheres ◽  
Class Of Functions

AbstractIn this article we present a new class of multiple contraction functions—the epistemic entrenchment-based multiple contractions—which are a generalization of the epistemic entrenchment-based contractions (Gärdenfors, 1988; Gärdenfors & Makinson, 1988) to the case of contractions by (possibly nonsingleton) sets of sentences and provide an axiomatic characterization for that class of functions. Moreover, we show that the class of epistemic entrenchment-based multiple contractions coincides with the class of system of spheres-based multiple contractions introduced in Fermé & Reis (2012).

scholarly journals Axiomatic characterizations under players nullification

2016 ◽  
Vol 80 ◽  
pp. 47-57 ◽  
Author(s):  
Sylvain Béal ◽  
Sylvain Ferrières ◽  
Eric Rémila ◽  
Philippe Solal
Keyword(s):  
Axiomatic Characterizations

Effects of Players’ Nullification and Equal (Surplus) Division Values

2018 ◽  
Vol 20 (01) ◽  
pp. 1750029 ◽  
Author(s):  
Takumi Kongo
Keyword(s):  
The Other ◽  
Equal Division ◽  
Transferable Utility ◽  
Tu Games ◽  
Axiomatic Characterizations ◽  
The Difference ◽  
Monotonicity Axioms ◽  
Equal Surplus Division

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.

OUTCOME LEVEL ANALYSIS OF BELIEF CONTRACTION

2013 ◽  
Vol 6 (2) ◽  
pp. 183-204 ◽  
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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