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来源类型Working Paper
规范类型报告
DOI10.3386/w27793
来源IDWorking Paper 27793
An Optimal Test for Strategic Interaction in Social and Economic Network Formation between Heterogeneous Agents
Andrin Pelican; Bryan S. Graham
发表日期2020-09-07
出版年2020
语种英语
摘要Consider a setting where N players, partitioned into K observable types, form a directed network. Agents' preferences over the form of the network consist of an arbitrary network benefit function (e.g., agents may have preferences over their network centrality) and a private component which is additively separable in own links. This latter component allows for unobserved heterogeneity in the costs of sending and receiving links across agents (respectively out- and in- degree heterogeneity) as well as homophily/heterophily across the K types of agents. In contrast, the network benefit function allows agents' preferences over links to vary with the presence or absence of links elsewhere in the network (and hence with the link formation behavior of their peers). In the null model which excludes the network benefit function, links form independently across dyads in the manner described by Charbonneau (2017). Under the alternative there is interdependence across linking decisions (i.e., strategic interaction). We show how to test the null with power optimized in specific directions. These alternative directions include many common models of strategic network formation (e.g., “connections” models, “structural hole” models etc.). Our random utility specification induces an exponential family structure under the null which we exploit to construct a similar test which exactly controls size (despite the null being a composite one with many nuisance parameters). We further show how to construct locally best tests for specific alternatives without making any assumptions about equilibrium selection. To make our tests feasible we introduce a new MCMC algorithm for simulating the null distributions of our test statistics.
主题Econometrics ; Estimation Methods
URLhttps://www.nber.org/papers/w27793
来源智库National Bureau of Economic Research (United States)
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条目标识符http://119.78.100.153/handle/2XGU8XDN/585464
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Andrin Pelican,Bryan S. Graham. An Optimal Test for Strategic Interaction in Social and Economic Network Formation between Heterogeneous Agents. 2020.
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