A New (Simplified) Derivation of Nash’s Bargaining Solution-Reference-Cited by-同舟云学术

A New (Simplified) Derivation of Nash’s Bargaining Solution

Published:2020-09-20 Issue:5 Volume:24 Page:589-592
ISSN:1883-8014
Container-title:Journal of Advanced Computational Intelligence and Intelligent Informatics
language:en
Short-container-title:JACIII

Author:

Nguyen Hoang Phuong,Bokati Laxman,Kreinovich Vladik, , ,

Abstract

According to the Nobelist John Nash, if a group of people wants to selects one of the alternatives in which all of them get a better deal than in a status quo situations, then they should select the alternative that maximizes the product of their utilities. In this paper, we provide a new (simplified) derivation of this result, a derivation which is not only simpler – it also does not require that the preference relation between different alternatives be linear.

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

Reference6 articles.

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2. P. C. Fishburn, “Utility Theory for Decision Making,” John Wiley & Sons Inc., 1969.

3. V. Kreinovich, “Decision Making Under Interval Uncertainty (and Beyond),” P. Guo and W. Pedrycz (Eds.), “Human-Centric Decision-Making Models for Social Sciences,” pp. 163-193, Springer, 2014.

4. R. D. Luce and R. Raiffa, “Games and Decisions: Introduction and Critical Survey,” Dover, 1989.

5. H. T. Nguyen, O. Kosheleva, and V. Kreinovich, “Decision making beyond Arrow’s “impossibility theorem,” with the analysis of effects of collusion and mutual attraction,” Int. J. of Intelligent Systems, Vol.24, Issue 1, pp. 27-47, 2009.

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