### Abstract

claims on the domain of bargaining problems with claims. Independence of higher

claims requires that the payoff of an agent does not depend on the higher claim of

another agent. Independence of irrelevant claims states that the payoffs should not

change when the claims decrease but remain higher than the payoffs. Interestingly, in conjunction with standard axioms from bargaining theory, these properties characterize a new constrained Nash solution, a constrained Kalai-Smorodinsky solution, and a constrained Kalai solution.

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

Place of Publication | Tilburg |

Publisher | CentER, Center for Economic Research |

Number of pages | 16 |

Volume | 2019-033 |

Publication status | Published - 14 Nov 2019 |

### Publication series

Name | CentER Discussion Paper |
---|---|

Volume | 2019-033 |

### Fingerprint

### Keywords

- bargaining with claims
- independence of higher claims
- independence of irrelevant claims
- constrained Nash solution
- constrained Kalai-Smorodingsky solution

### Cite this

*Bargaining with Independence of Higher or Irrelevant Claims*. (CentER Discussion Paper; Vol. 2019-033). Tilburg: CentER, Center for Economic Research.

}

**Bargaining with Independence of Higher or Irrelevant Claims.** / Josune Albizuri, M.; Dietzenbacher, Bas; Zarzuelo, J.

Research output: Working paper › Discussion paper › Other research output

TY - UNPB

T1 - Bargaining with Independence of Higher or Irrelevant Claims

AU - Josune Albizuri, M.

AU - Dietzenbacher, Bas

AU - Zarzuelo, J.

N1 - CentER Discussion Paper Nr. 2019-033

PY - 2019/11/14

Y1 - 2019/11/14

N2 - This paper studies independence of higher claims and independence of irrelevantclaims on the domain of bargaining problems with claims. Independence of higherclaims requires that the payoff of an agent does not depend on the higher claim ofanother agent. Independence of irrelevant claims states that the payoffs should notchange when the claims decrease but remain higher than the payoffs. Interestingly, in conjunction with standard axioms from bargaining theory, these properties characterize a new constrained Nash solution, a constrained Kalai-Smorodinsky solution, and a constrained Kalai solution.

AB - This paper studies independence of higher claims and independence of irrelevantclaims on the domain of bargaining problems with claims. Independence of higherclaims requires that the payoff of an agent does not depend on the higher claim ofanother agent. Independence of irrelevant claims states that the payoffs should notchange when the claims decrease but remain higher than the payoffs. Interestingly, in conjunction with standard axioms from bargaining theory, these properties characterize a new constrained Nash solution, a constrained Kalai-Smorodinsky solution, and a constrained Kalai solution.

KW - bargaining with claims

KW - independence of higher claims

KW - independence of irrelevant claims

KW - constrained Nash solution

KW - constrained Kalai-Smorodingsky solution

M3 - Discussion paper

VL - 2019-033

T3 - CentER Discussion Paper

BT - Bargaining with Independence of Higher or Irrelevant Claims

PB - CentER, Center for Economic Research

CY - Tilburg

ER -