TY - JOUR
T1 - On properties of division rules lifted by bilateral consistency
AU - Hokari, Toru
AU - Thomson, William
N1 - Funding Information:
University of Tsukuba and University of Rochester, respectively. Hokari acknowledges support from the Ministry of Education, Culture, Sports, Science and Technology in Japan under grants No. 15730089 and No. 20344856. Thomson acknowledges support from NSF under grants SBR-9731431 and SES 0214691. We thank Youngsub Chun, Toyotaka Sakai, Rodrigo Velez, and an anonymous referee for their comments.
PY - 2008/12/1
Y1 - 2008/12/1
N2 - We consider the problem of adjudicating conflicting claims in the context of a variable population. A property of rules is "lifted" if whenever a rule satisfies it in the two-claimant case, and the rule is bilaterally consistent, it satisfies it for any number of claimants. We identify a number of properties that are lifted, such as equal treatment of equals, resource monotonicity, composition down and composition up, and show that continuity, anonymity and self-duality are not lifted. However, each of these three properties is lifted if the rule is resource monotonic.
AB - We consider the problem of adjudicating conflicting claims in the context of a variable population. A property of rules is "lifted" if whenever a rule satisfies it in the two-claimant case, and the rule is bilaterally consistent, it satisfies it for any number of claimants. We identify a number of properties that are lifted, such as equal treatment of equals, resource monotonicity, composition down and composition up, and show that continuity, anonymity and self-duality are not lifted. However, each of these three properties is lifted if the rule is resource monotonic.
KW - Claims problems
KW - Consistency
KW - Constrained equal awards rule
KW - Constrained equal losses rule
KW - Lifting
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U2 - 10.1016/j.jmateco.2008.01.001
DO - 10.1016/j.jmateco.2008.01.001
M3 - Article
AN - SCOPUS:52949148568
SN - 0304-4068
VL - 44
SP - 1057
EP - 1071
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
IS - 11
ER -