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来源类型 | FEEM working papers "Note di lavoro" series |
规范类型 | 论文 |
A Characterization of Stochastically Stable Networks | |
Vincent Vannetelbosch; Olivier Tercieux | |
发表日期 | 2005 |
出处 | Climate Change and Sustainable Development |
出版年 | 2005 |
语种 | 英语 |
摘要 | Jackson and Watts [J. of Econ. Theory 71 (2002), 44-74] have examined the dynamic formation and stochastic evolution of networks. We provide a refinement of pairwise stability, p−pairwise stability, which allows us to characterize the stochastically stable networks without requiring the "tree construction" and the computation of resistance that may be quite complex. When a 1/2−pairwise stable network exists, it is unique and it coincides with the unique stochastically stable network. To solve the inexistence problem of p−pairwise stable networks, we define its set-valued extension with the notion of p−pairwise stable set. The 1/2−pairwise stable set exists and is unique. Any stochastically stable network is included in the 1/2−pairwise stable set. Thus, any network outside the 1/2−pairwise stable set must be considered as a nonrobust network. We also show that the 1/2−pairwise stable set can contain no pairwise stable network and we provide examples where a set of networks is more "stable" than a pairwise stable network. |
特色分类 | C70,D20 |
关键词 | Network formation,Pairwise stability,Stochastic stability |
URL | https://www.feem.it/en/publications/feem-working-papers-note-di-lavoro-series/a-characterization-of-stochastically-stable-networks/ |
来源智库 | Fondazione Eni Enrico Mattei (Italy) |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/117161 |
推荐引用方式 GB/T 7714 | Vincent Vannetelbosch,Olivier Tercieux. A Characterization of Stochastically Stable Networks. 2005. |
条目包含的文件 | ||||||
文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
NDL2005-048.pdf(626KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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