G2TT
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
URLhttps://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.
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