Mathematical models of stable jurisdiction partitions: A survey of results and new directions

IF 0.3 Q4 ECONOMICS
D. Musatov, A. Savvateev
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引用次数: 0

Abstract

The human society consists of many large and small groups. Why do these groups emerge? How does their structure form? What does their dynamics look like? Is there always a stable configuration that does not change anymore? In the models described in this survey it is assumed that agents live in some geographical or virtual space and groups are formed to produce some club good located in the same space and available only inside a group. There are two opposite forces that influence the size of the groups. On the one hand, in larger groups the agents enjoy economy of scale, so the good costs less. On the other hand, in smaller and homogeneous groups the good may be located close to all members. Do these forces always balance each other in some stable configuration and what does this configuration look like? The answer depends on the model details and on the notion of equilibrium. In this survey we present different frameworks and main known results about (non-)existence of equilibria and their properties, as well as some new directions of research.
稳定管辖权划分的数学模型:成果综述与新方向
人类社会由许多大大小小的群体组成。为什么会出现这些群体?它们的结构是如何形成的?它们的动力学是怎样的?是否总是有一个稳定的构型不再改变?在本调查中描述的模型中,假设代理人生活在某个地理或虚拟空间中,并且组成群体以生产位于同一空间且仅在群体内可用的俱乐部商品。有两种相反的力量影响着群体的规模。一方面,在较大的群体中,代理商享有规模经济,因此商品成本较低。另一方面,在较小的同质群体中,商品可能位于所有成员附近。这些力总是在某种稳定的构型中相互平衡吗?这种构型是什么样子的?答案取决于模型的细节和均衡的概念。在本文中,我们提出了关于平衡态(非)存在性及其性质的不同框架和主要已知结果,以及一些新的研究方向。
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来源期刊
CiteScore
1.00
自引率
20.00%
发文量
33
期刊介绍: Key Journal''s objectives: bring together economists of different schools of thought across the Russian Federation; strengthen ties between Academy institutes, educational establishments and economic research centers; improve the quality of Russian economic research and education; integrate economic science and education; speed up the integration of Russian economic science in the global mainstream of economic research. The Journal publishes both theoretical and empirical articles, devoted to all aspects of economic science, which are of interest for wide range of specialists. It welcomes high-quality interdisciplinary projects and economic studies employing methodologies from other sciences such as physics, psychology, political science, etc. Special attention is paid to analyses of processes occurring in the Russian economy. Decisions about publishing of articles are based on a double-blind review process. Exceptions are short notes in the section "Hot Topic", which is usually formed by special invitations and after considerations of the Editorial Board. The only criterion to publish is the quality of the work (original approach, significance and substance of findings, clear presentation style). No decision to publish or reject an article will be influenced by the author belonging to whatever public movement or putting forward ideas advocated by whatever political movement. The Journal comes out four times a year, each issue consisting of 12 to 15 press sheets. Now it is published only in Russian. The English translations of the Journal issues are posted on the Journal website as open access resources.
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