TY - JOUR

T1 - A unifying framework for the problem of adjudicating conflicting claims

AU - Hougaard, Jens Leth

AU - Østerdal, Lars Peter Raahave

AU - Moreno-Terero, Juan D.

PY - 2012

Y1 - 2012

N2 - In a recent paper, Thomson and Yeh [Thomson, W., Yeh, C.-H., 2008. Operators for the adjudication of conflicting claims. Journal of Economic Theory 143, 177–198] introduced the concept of operators on the space of rules for the problem of adjudicating conflicting claims. They focused on three operators in order to uncover the structure of such a space. In this paper, we generalize their analysis upon presenting and studying a general family of operators inspired by three apparently unrelated approaches to the problem of adjudicating conflicting claims. We study the structural properties of this family and show, in particular, that most of Thomson and Yeh’s results are specific cases of our study.

AB - In a recent paper, Thomson and Yeh [Thomson, W., Yeh, C.-H., 2008. Operators for the adjudication of conflicting claims. Journal of Economic Theory 143, 177–198] introduced the concept of operators on the space of rules for the problem of adjudicating conflicting claims. They focused on three operators in order to uncover the structure of such a space. In this paper, we generalize their analysis upon presenting and studying a general family of operators inspired by three apparently unrelated approaches to the problem of adjudicating conflicting claims. We study the structural properties of this family and show, in particular, that most of Thomson and Yeh’s results are specific cases of our study.

KW - Faculty of Social Sciences

KW - Rationing

KW - operators

KW - Baselines

KW - Composition

KW - Claims

U2 - 10.1016/j.jmateco.2012.01.004

DO - 10.1016/j.jmateco.2012.01.004

M3 - Journal article

VL - 48

SP - 107

EP - 114

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

SN - 0304-4068

IS - 2

ER -