A logical model of Nash bargaining solution

Dongmo Zhang

A logical model of Nash bargaining solution

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper

Abstract

This paper presents a logical extension of Nash's Cooperative Bargaining Theory. We introduce a concept of entrenchment measurement, which maps propositions to real numbers, as a vehicle to represent agent's belief states and attitudes towards bargaining situations. We show that Nash's bargaining solution can be restated in terms of bargainers belief states. Negotiable items, bargaining outcomes and conflicting arguments can then be explicitly expressed in propositional logic meanwhile Nash's numerical solution to bargaining problem is still applicable.

Original language	English
Title of host publication	IJCAI-05 : proceedings of the Nineteenth International Joint Conference on Artificial Intelligence : Edinburgh, Scotland, July 30-August 5, 2005
Publisher	International Joint Conferences on Artificial Intelligence
Number of pages	6
ISBN (Print)	0938075934
Publication status	Published - 2005
Event	International Joint Conference on Artificial Intelligence - Duration: 3 Aug 2013 → …

Conference

Conference	International Joint Conference on Artificial Intelligence
Period	3/08/13 → …

Keywords

negotiation
mathematical models
game theory

Cite this

@inproceedings{7a5def9c017f41cb95983cdd20da2fe5,

title = "A logical model of Nash bargaining solution",

abstract = "This paper presents a logical extension of Nash's Cooperative Bargaining Theory. We introduce a concept of entrenchment measurement, which maps propositions to real numbers, as a vehicle to represent agent's belief states and attitudes towards bargaining situations. We show that Nash's bargaining solution can be restated in terms of bargainers belief states. Negotiable items, bargaining outcomes and conflicting arguments can then be explicitly expressed in propositional logic meanwhile Nash's numerical solution to bargaining problem is still applicable.",

keywords = "negotiation, mathematical models, game theory",

author = "Dongmo Zhang",

year = "2005",

language = "English",

isbn = "0938075934",

booktitle = "IJCAI-05 : proceedings of the Nineteenth International Joint Conference on Artificial Intelligence : Edinburgh, Scotland, July 30-August 5, 2005",

publisher = "International Joint Conferences on Artificial Intelligence",

note = "International Joint Conference on Artificial Intelligence ; Conference date: 03-08-2013",

}

TY - GEN

T1 - A logical model of Nash bargaining solution

AU - Zhang, Dongmo

PY - 2005

Y1 - 2005

N2 - This paper presents a logical extension of Nash's Cooperative Bargaining Theory. We introduce a concept of entrenchment measurement, which maps propositions to real numbers, as a vehicle to represent agent's belief states and attitudes towards bargaining situations. We show that Nash's bargaining solution can be restated in terms of bargainers belief states. Negotiable items, bargaining outcomes and conflicting arguments can then be explicitly expressed in propositional logic meanwhile Nash's numerical solution to bargaining problem is still applicable.

AB - This paper presents a logical extension of Nash's Cooperative Bargaining Theory. We introduce a concept of entrenchment measurement, which maps propositions to real numbers, as a vehicle to represent agent's belief states and attitudes towards bargaining situations. We show that Nash's bargaining solution can be restated in terms of bargainers belief states. Negotiable items, bargaining outcomes and conflicting arguments can then be explicitly expressed in propositional logic meanwhile Nash's numerical solution to bargaining problem is still applicable.

KW - negotiation

KW - mathematical models

KW - game theory

UR - http://handle.uws.edu.au:8081/1959.7/11133

M3 - Conference Paper

SN - 0938075934

BT - IJCAI-05 : proceedings of the Nineteenth International Joint Conference on Artificial Intelligence : Edinburgh, Scotland, July 30-August 5, 2005

PB - International Joint Conferences on Artificial Intelligence

T2 - International Joint Conference on Artificial Intelligence

Y2 - 3 August 2013

ER -

A logical model of Nash bargaining solution

Abstract

Conference

Keywords

Other files and links

Fingerprint

Cite this