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By allowing for higher-order spatial lags, our specification provides important flexibility in modeling network interactions. The estimation methodology builds, among others, on the two-step generalized method of moments estimation approach introduced in Kelejian and Prucha (1998, <jats:italic>Journal of Real Estate Finance and Economics<\/jats:italic> 17, 99\u2013121; 1999, <jats:italic>International Economic Review<\/jats:italic> 40, 509\u2013533; 2004, <jats:italic>Journal of Econometrics<\/jats:italic> 118, 27\u201350). The paper considers limited and full information estimators, and one- and two-step estimators, and establishes their asymptotic properties. In contrast to some of the earlier two-step estimation literature, our asymptotic results facilitate joint tests for the absence of all forms of network spillovers.<\/jats:p>","DOI":"10.1017\/s026646662200007x","type":"journal-article","created":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T05:45:08Z","timestamp":1648446308000},"page":"1154-1201","source":"Crossref","is-referenced-by-count":16,"title":["SIMULTANEOUS EQUATIONS MODELS WITH HIGHER-ORDER SPATIAL OR SOCIAL NETWORK INTERACTIONS"],"prefix":"10.1017","volume":"39","author":[{"given":"David M.","family":"Drukker","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter H.","family":"Egger","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ingmar R.","family":"Prucha","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2022,3,28]]},"reference":[{"key":"S026646662200007X_r42","doi-asserted-by":"publisher","DOI":"10.1007\/s43071-020-0001-4"},{"key":"S026646662200007X_r43","doi-asserted-by":"publisher","DOI":"10.1080\/07474938.2017.1308087"},{"key":"S026646662200007X_r49","unstructured":"Wang, L. , Li, K. , & Wang, Z. 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