Social Interactions: A Game Theoretic Approach
AbstractThis paper uses a game theoretic model to capture the interactions among individuals within a social network, and establishes nonparametric identification and inference on the game structural model. Consider observations from a single equilibrium of a network game in which each player chooses an action from a finite set and is subject to interactions that are local --- the interactions only occur among friends. All observations are potentially dependent on each other because they are interpreted as arising from a single equilibrium of settings where players interact directly or indirectly. Simple assumptions about the structure are made that ensure that the game has a unique equilibrium and the equilibrium has a stability property. The formulation of this stability property is new and serves as the basis for statistical inference. I establish the identification of the structural model and introduce an estimation procedure called (sieve) maximum approximated likelihood.
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Bibliographic InfoPaper provided by The University of Texas at Austin, Department of Economics in its series Department of Economics Working Papers with number 130914.
Length: 44 pages
Date of creation: Nov 2010
Date of revision:
Local interaction; social networks; incomplete information games; sieve maximum likelihood estimation; maximum approximated likelihood estimation;
Find related papers by JEL classification:
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Bajari, Patrick & Hong, Han & Krainer, John & Nekipelov, Denis, 2010.
"Estimating Static Models of Strategic Interactions,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 28(4), pages 469-482.
- Katja Seim, 2006. "An empirical model of firm entry with endogenous product‐type choices," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 619-640, 09.
- Pinkse, Joris & Slade, Margaret E., 1998. "Contracting in space: An application of spatial statistics to discrete-choice models," Journal of Econometrics, Elsevier, vol. 85(1), pages 125-154, July.
- Joris Pinkse & Margaret Slade, 2007. "Semi-structural models of advertising competition," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1227-1246.
- Carlsson, H. & Damme, E.E.C. van, 1990.
"Global games and equilibrium selection,"
1990-52, Tilburg University, Center for Economic Research.
- Carlsson, H. & Damme, E.E.C. van, 1993. "Global games and equilibrium selection," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154416, Tilburg University.
- Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
- Carlsson, H. & Van Damme, E., 1990. "Global Games And Equilibrium Selection," Papers 9052, Tilburg - Center for Economic Research.
- Victor Aguirregabiria & Pedro Mira, 1999.
"Swapping the Nested Fixed-Point Algorithm: a Class of Estimators for Discrete Markov Decision Models,"
Computing in Economics and Finance 1999
332, Society for Computational Economics.
- Victor Aguirregabiria & Pedro Mira, 2002. "Swapping the Nested Fixed Point Algorithm: A Class of Estimators for Discrete Markov Decision Models," Econometrica, Econometric Society, vol. 70(4), pages 1519-1543, July.
- Bresnahan, Timothy F, 1987. "Competition and Collusion in the American Automobile Industry: The 1955 Price War," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 457-82, June.
- Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
- Chen, Xiaohong, 2007. "Large Sample Sieve Estimation of Semi-Nonparametric Models," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 76 Elsevier.
- Ryo Nakajima, 2004.
"Measuring Peer Effects on Youth Smoking Behavior,"
ISER Discussion Paper
0600, Institute of Social and Economic Research, Osaka University.
- Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 70(1), pages 147-165, January.
- Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-54, July.
- Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 147-165.
- Klier, Thomas & McMillen, Daniel P, 2008. "Clustering of Auto Supplier Plants in the United States," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 460-471.
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