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Resolving the Identification Problem in Linear Social Interactions Models: Modeling with Between-Group Spillovers

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Author Info
Ethan Cohen-Cole (University of Wisconsin - Madison)

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Abstract

The linear-in-means model has been a theoretical and empirical workhorse of the social interactions field. As was noted by Manski (1993), the collinearity between group-level 'contextual' and 'endogenous' effects leads to an inability to identify the structural parameters of this model. Manski called this the 'reflection' problem. This paper suggests that Manksi’s reflection problem is unique to a special case of a more general context in which agents care about multiple reference groups. Specifically, the identification problem is resolved through a model generalization to include between-group and within-group effects.

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Paper provided by EconWPA in its series Others with number 0501001.

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Length: 23 pages
Date of creation: 03 Jan 2005
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Handle: RePEc:wpa:wuwpot:0501001

Note: Type of Document - pdf; pages: 23
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Web page: http://129.3.20.41

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Related research
Keywords: Social Interactions; Identification; Linear-in- Means Model;

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Find related papers by JEL classification:
C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
D10 - Microeconomics - - Household Behavior - - - General

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  1. William A. Brock & Steven N. Durlauf, 2000. "Interactions-Based Models," Working Papers 00-05-028, Santa Fe Institute.
    Other versions:
  2. Durlauf, Steven N., 2004. "Neighborhood effects," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 50, pages 2173-2242 Elsevier. [Downloadable!] (restricted)
  3. Conley, T.G. & Topa, G., 1999. "Socio-Economic Distance and Spatial Patterns in Unemployment," Working Papers 99-04, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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  5. R. D. Plotnick & S. D. Hoffman, . "The Effect of Neighborhood Characteristics on Young Adult Outcomes: Alternative Estimates," Institute for Research on Poverty Discussion Papers 1106-96, University of Wisconsin Institute for Research on Poverty. [Downloadable!]
  6. Datcher, Linda P, 1982. "Effects of Community and Family Background on Achievement," The Review of Economics and Statistics, MIT Press, vol. 64(1), pages 32-41, February. [Downloadable!] (restricted)
  7. Brock, William A & Durlauf, Steven N, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Blackwell Publishing, vol. 68(2), pages 235-60, April.
  8. Melvyn Weeks & Sriya Iyer, 2004. "Multiple social interactions and reproductive externalities: An investigation of fertility behaviour in Kenya," Econometric Society 2004 Latin American Meetings 143, Econometric Society.
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  9. Anne C. Case & Lawrence F. Katz, 1991. "The Company You Keep: The Effects of Family and Neighborhood on Disad- vantaged Youths," NBER Working Papers 3705, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Ioannides, Yannis M., 2002. "Residential neighborhood effects," Regional Science and Urban Economics, Elsevier, vol. 32(2), pages 145-165, March. [Downloadable!] (restricted)
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  11. Manski, Charles F, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," Review of Economic Studies, Blackwell Publishing, vol. 60(3), pages 531-42, July. [Downloadable!] (restricted)
  12. Yannis M Ioannides & Jeffrey E Zabel, 2002. "Interactions, Neighborhood Selection, and Housing Demand," Working Papers 02-19, Center for Economic Studies, U.S. Census Bureau. [Downloadable!]
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  13. Yannis M. Ioannides & Jeffrey E. Zabel, 2000. "Neighborhood Effects and Housing Demand," Discussion Papers Series, Department of Economics, Tufts University 0012, Department of Economics, Tufts University. [Downloadable!]
    Other versions:
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