G2TT
来源类型FEEM working papers "Note di lavoro" series
规范类型论文
Endogenous Network Dynamics
Frank H. Page; Myrna H. Wooders
发表日期2009
出处Climate Change and Sustainable Development
出版年2009
语种英语
摘要In all social and economic interactions, individuals or coalitions choose not only with whom to interact but how to interact, and over time both the structure (the “with whom”) and the strategy (“the how”) of interactions change. Our objectives here are to model the structure and strategy of interactions prevailing at any point in time as a directed network and to address the following open question in the theory of social and economic network formation: given the rules of network and coalition formation, the preferences of individuals over networks, the strategic behavior of coalitions in forming networks, and the trembles of nature, what network and coalitional dynamics are likely to emerge and persist. Our main contributions are (i) to formulate the problem of network and coalition formation as a dynamic, stochastic game, (ii) to show that this game possesses a stationary correlated equilibrium (in network and coalition formation strategies), (iii) to show that, together with the trembles of nature, this stationary correlated equilibrium determines an equilibrium Markov process of network and coalition formation, and (iv) to show that this endogenous process possesses a finite, nonempty set of ergodic measures, and generates a finite, disjoint collection of nonempty subsets of networks and coalitions, each constituting a basin of attraction. We also extend to the setting of endogenous Markov dynamics the notions of pairwise stability (Jackson-Wolinsky, 1996), strong stability (Jacksonvan den Nouweland, 2005), and Nash stability (Bala-Goyal, 2000), and we show that in order for any network-coalition pair to persist and be stable (pairwise, strong, or Nash) it is necessary and sufficient that the pair reside in one of finitely many basins of attraction. The results we obtain here for endogenous network dynamics and stochastic basins of attraction are the dynamic analogs of our earlier results on endogenous network formation and strategic basins of attraction in static, abstract games of network formation (Page and Wooders, 2008), and build on the seminal contributions of Jackson and Watts (2002), Konishi and Ray (2003), and Dutta, Ghosal, and Ray (2005).
特色分类A14,C71,C72
关键词Endogenous Network Dynamics,Dynamic Stochastic Games of Network Formation,Equilibrium Markov Process of Network Formation,Basins of Attraction,Harris Decomposition,Ergodic Probability Measures,Dynamic Path Dominance Core,Dynamic Pairwise Stability
URLhttps://www.feem.it/en/publications/feem-working-papers-note-di-lavoro-series/endogenous-network-dynamics/
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/117706
推荐引用方式
GB/T 7714
Frank H. Page,Myrna H. Wooders. Endogenous Network Dynamics. 2009.
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