A novel game theoretic method on fair economic resource allocation with multiple Criteria

IF 3 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE International Journal of Management Science and Engineering Management Pub Date : 2022-03-17 DOI:10.1080/17509653.2022.2043196

Atieh Namazi, M. Khodabakhshi

引用次数: 0

Abstract

ABSTRACT The present study is concerned with fair allocation of a resource to sectors to achieve the best accomplishments based on some criteria divided into merits and demerits of the sectors. There is a method similar to the idea of -value in cooperative games with a selfish-modest approach that allows the sectors to selfishly and modestly choose their shares. In order to improve this method, another method using the Shapley value approach is proposed in this study that allows the sectors in different orders to selfishly or modestly choose their shares. These two methods are applied to invest among economic sectors in Iran. To compare the methods, the distance of their solutions to the Pareto frontier of the multi-objective problem is measured while considering the allocation fairness. It was concluded that the solution of the proposed method is greatly close to the Pareto frontier.

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多准则下经济资源公平分配的博弈论新方法

摘要本研究是基于对各部门优劣进行划分的标准，探讨如何将资源公平分配给各部门，以达到最佳绩效。在合作游戏中也存在一种类似于价值的方法，即允许各部门自私且谨慎地选择自己的份额。为了改进该方法，本研究提出了另一种使用Shapley值方法的方法，允许不同顺序的部门自私或适度地选择其股票。这两种方法适用于伊朗经济部门之间的投资。为了比较这两种方法，在考虑分配公平性的情况下，测量了它们的解到多目标问题Pareto边界的距离。结果表明，该方法的解非常接近Pareto边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Management Science and Engineering Management OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

8.50

自引率

33.30%

发文量

期刊介绍： International Journal of Management Science and Engineering Management (IJMSEM) is a peer-reviewed quarterly journal that provides an international forum for researchers and practitioners of management science and engineering management. The journal focuses on identifying problems in the field, and using innovative management theories and new management methods to provide solutions. IJMSEM is committed to providing a platform for researchers and practitioners of management science and engineering management to share experiences and communicate ideas. Articles published in IJMSEM contain fresh information and approaches. They provide key information that will contribute to new scientific inquiries and improve competency, efficiency, and productivity in the field. IJMSEM focuses on the following: 1. identifying Management Science problems in engineering; 2. using management theory and methods to solve above problems innovatively and effectively; 3. developing new management theory and method to the newly emerged management issues in engineering; IJMSEM prefers papers with practical background, clear problem description, understandable physical and mathematical model, physical model with practical significance and theoretical framework, operable algorithm and successful practical applications. IJMSEM also takes into account management papers of original contributions in one or several aspects of these elements.