### Abstract

We investigate the existence of consistent rules for the resolution of conflicting claims that generalize the Talmud rule but do not necessarily satisfy equal treatment of equal. The first approach we follow starts from the description of the Talmud rule in the two-claimant case as "concede-and-divide", and an axiomatic characterization for the rule. When equal treatment of equals is dropped, we obtain a one-parameter family, "weighted concede-and-divide rules". The second approach starts from the description of the Talmud rule as a hybrid of the constrained equal awards and constrained equal losses rules, and weighted generalizations of these rules. We characterize the class of consistent rules that coincide with weighted concede-and-divide rules in the two-claimant case or with weighted hybrid rules. They are defined by partitioning the set of potential claimants into "priority classes" or "half-priority classes" respectively, and selecting reference weights for all potential claimants. For the first approach however, and in each class with more than two claimants, equal treatment is actually required.

Original language | English |
---|---|

Pages (from-to) | 241-261 |

Number of pages | 21 |

Journal | Economic Theory |

Volume | 21 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 2003 Mar |

Externally published | Yes |

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### Keywords

- Claims problems
- Consistency
- Converse consistency
- Weighted generalizations of Talmud rule

### ASJC Scopus subject areas

- Economics and Econometrics

### Cite this

*Economic Theory*,

*21*(2-3), 241-261. https://doi.org/10.1007/s00199-002-0314-7

**Claims problems and weighted generalizations of the Talmud rule.** / Hokari, Toru; Thomson, William.

Research output: Contribution to journal › Article

*Economic Theory*, vol. 21, no. 2-3, pp. 241-261. https://doi.org/10.1007/s00199-002-0314-7

}

TY - JOUR

T1 - Claims problems and weighted generalizations of the Talmud rule

AU - Hokari, Toru

AU - Thomson, William

PY - 2003/3

Y1 - 2003/3

N2 - We investigate the existence of consistent rules for the resolution of conflicting claims that generalize the Talmud rule but do not necessarily satisfy equal treatment of equal. The first approach we follow starts from the description of the Talmud rule in the two-claimant case as "concede-and-divide", and an axiomatic characterization for the rule. When equal treatment of equals is dropped, we obtain a one-parameter family, "weighted concede-and-divide rules". The second approach starts from the description of the Talmud rule as a hybrid of the constrained equal awards and constrained equal losses rules, and weighted generalizations of these rules. We characterize the class of consistent rules that coincide with weighted concede-and-divide rules in the two-claimant case or with weighted hybrid rules. They are defined by partitioning the set of potential claimants into "priority classes" or "half-priority classes" respectively, and selecting reference weights for all potential claimants. For the first approach however, and in each class with more than two claimants, equal treatment is actually required.

AB - We investigate the existence of consistent rules for the resolution of conflicting claims that generalize the Talmud rule but do not necessarily satisfy equal treatment of equal. The first approach we follow starts from the description of the Talmud rule in the two-claimant case as "concede-and-divide", and an axiomatic characterization for the rule. When equal treatment of equals is dropped, we obtain a one-parameter family, "weighted concede-and-divide rules". The second approach starts from the description of the Talmud rule as a hybrid of the constrained equal awards and constrained equal losses rules, and weighted generalizations of these rules. We characterize the class of consistent rules that coincide with weighted concede-and-divide rules in the two-claimant case or with weighted hybrid rules. They are defined by partitioning the set of potential claimants into "priority classes" or "half-priority classes" respectively, and selecting reference weights for all potential claimants. For the first approach however, and in each class with more than two claimants, equal treatment is actually required.

KW - Claims problems

KW - Consistency

KW - Converse consistency

KW - Weighted generalizations of Talmud rule

UR - http://www.scopus.com/inward/record.url?scp=0013277483&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013277483&partnerID=8YFLogxK

U2 - 10.1007/s00199-002-0314-7

DO - 10.1007/s00199-002-0314-7

M3 - Article

AN - SCOPUS:0013277483

VL - 21

SP - 241

EP - 261

JO - Economic Theory

JF - Economic Theory

SN - 0938-2259

IS - 2-3

ER -