有偏好的合作博弈：权重规则在圣彼得堡公共空间问题中的应用

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2024-08-15 DOI:10.1134/S1990478924020091

V. V. Gusev

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引用次数: 0

摘要

摘要本文探讨了公共空间的分配问题。我们采用合作博弈论的方法来解决这个问题。博弈者是地区，而特征函数的值是对所考虑地区的某类公共空间感兴趣的总人数。划分问题所特有的公理被编制出来。得出了合作博弈的特殊值，它取决于参与者的权重。说明了如何通过优化方法选择权重。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Cooperative Games with Preferences: Application
of the Weight Rule to Problems of Public Space in St. Petersburg

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Cooperative Games with Preferences: Application of the Weight Rule to Problems of Public Space in St. Petersburg

The paper examines the problem of the distribution of public space. We use the methods of cooperative game theory to solve this problem. Players are districts, while the value of the characteristic function is the total number of people interested in a particular type of public space in the areas under consideration. The axioms that are characteristic of the problem of division are compiled. A special value of the cooperative game is derived that depends on the weights of the players. It is shown how to choose the weights by optimization methods.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.