On properties of division rules lifted by bilateral consistency

被引:15
作者
Hokari, Toru [2 ]
Thomson, William [1 ]
机构
[1] Univ Rochester, Dept Econ, Rochester, NY 14627 USA
[2] Univ Tsukuba, Tsukuba 3058571, Japan
基金
美国国家科学基金会;
关键词
Claims problems; Consistency; Lifting; Constrained equal awards rule; Constrained equal losses rule;
D O I
10.1016/j.jmateco.2008.01.001
中图分类号
F [经济];
学科分类号
02 ;
摘要
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. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:1057 / 1071
页数:15
相关论文
共 22 条
[1]   GAME THEORETIC ANALYSIS OF A BANKRUPTCY PROBLEM FROM THE TALMUD [J].
AUMANN, RJ ;
MASCHLER, M .
JOURNAL OF ECONOMIC THEORY, 1985, 36 (02) :195-213
[2]   Group order preservation and the proportional rule for the adjudication of conflicting claims [J].
Chambers, CP ;
Thomson, W .
MATHEMATICAL SOCIAL SCIENCES, 2002, 44 (03) :235-252
[3]   Equivalence of axioms for bankruptcy problems [J].
Chun, Y .
INTERNATIONAL JOURNAL OF GAME THEORY, 1999, 28 (04) :511-520
[4]  
CHUN Y., 2001, Seoul Journal of Economics, V14, P269
[5]  
Curiel IJ, 1988, Z OPER RES, V31, P143, DOI DOI 10.1007/BF02109593
[6]   Bilateral comparisons and consistent fair division rules in the context of bankruptcy problems [J].
Dagan, N ;
Volij, O .
INTERNATIONAL JOURNAL OF GAME THEORY, 1997, 26 (01) :11-25
[7]   A noncooperative view of consistent bankruptcy rules [J].
Dagan, N ;
Serrano, R ;
Volij, O .
GAMES AND ECONOMIC BEHAVIOR, 1997, 18 (01) :55-72
[8]   THE BANKRUPTCY PROBLEM - A COOPERATIVE BARGAINING APPROACH [J].
DAGAN, N ;
VOLIJ, O .
MATHEMATICAL SOCIAL SCIENCES, 1993, 26 (03) :287-297
[9]   The three musketeers: four classical solutions to bankruptcy problems [J].
Herrero, C ;
Villar, A .
MATHEMATICAL SOCIAL SCIENCES, 2001, 42 (03) :307-328
[10]   Claims problems and weighted generalizations of the Talmud rule [J].
Hokari, T ;
Thomson, W .
ECONOMIC THEORY, 2003, 21 (2-3) :241-261