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In Defense of Comparative Statics: Specifying Empirical Tests of Models of Strategic Interaction

  • Clifford J. Carrubba (a1), Amy Yuen (a2) and Christopher Zorn (a3)


Beginning in 1999, Curtis Signorino challenged the use of traditional logits and probits analysis for testing discrete-choice, strategic models. Signorino argues that the complex parametric relationships generated by even the simplest strategic models can lead to wildly inaccurate inferences if one applies these traditional approaches. In their stead, Signorino proposes generating stochastic formal models, from which one can directly derive a maximum likelihood estimator. We propose a simpler, alternative methodology for theoretically and empirically accounting for strategic behavior. In particular, we propose carefully and correctly deriving one's comparative statics from one's formal model, whether it is stochastic or deterministic does not particularly matter, and using standard logit or probit estimation techniques to test the predictions. We demonstrate that this approach performs almost identically to Signorino's more complex suggestion.



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Achen, Christopher. 2006. Expressive Bayesian voters, their turnout decisions, and double probit: Empirical implications of a theoretical model. Paper presented at the annual meeting of the Society for Political Methodology, Davis, CA.
Bajari, Patrick, Hong, Han, Krainer, John, and Nekipelov, Denis. 2006. Estimating static models of strategic interaction. NBER Working Paper #12013. (accessed March 13, 2007).
Bas, Muhammat Ali, Signorino, Curtis S., and Walker, Robert W. 2006. Statistical backwards induction: A simple method for estimating strategic models. Working paper.
Brueckner, Jan. 2003. Strategic interactions among governments: An overview of empirical studies. International Regional Science Review 26(2): 175–88.
Caldeira, Gregory A., Wright, John R., and Zorn, Christopher. 1999. Strategic voting and gatekeeping in the U.S. Supreme Court. Journal of Law, Economics, & Organization 15(3): 549–72.
Carson, Jamie L. 2003. Strategic interaction and candidate competition in U.S. House elections: Empirical applications of probit and strategic probit models. Political Analysis 11: 368–80.
Erdem, Tülin, Srinivasan, Kannan, Amaldoss, Wilfred, Bajari, Patrick, Che, Hai, Ho, Teck, Hutchinson, Wes et al. 2005. Theory-driven choice models. Marketing Letters 16 (3/4): 225–37.
Friedrich, Robert J. 1982. In defense of multiplicative terms in multiple regression equations. American Journal of Political Science 26 (November): 797833.
Haile, Phillip A., Hortaçsu, Ali, and Kosenok, Grigory. 2006. On the empirical content of quantal response equilibrium. Working paper.
Leblang, David A. 2003. To defend or to devalue: The political economy of exchange rate policy. International Studies Quarterly 47: 533–59.
Lewis, Jeffery B., and Schultz, Kenneth A. 2003. Revealing preferences: Empirical estimation of a crisis bargaining game with incomplete information. Political Analysis 11: 345–67.
McKelvey, Richard D., and Palfrey, Thomas R. 1998. Quantal response equilibria for extensive form games. Experimental Economics 1(1): 941.
Murphy, Kevin M., and Topel, Robert H. 1985. Estimation and inference in ‘two-step’ econometric models. Journal of Business and Economic Statistics 3 (October): 370–80.
Quinn, Kevin M., Martin, Andrew D., and Whitford, Andrew B. 1999. Voter choice in multi-party democracies: A test of competing theories and models. American Journal of Political Science 43: 1231–47.
Signorino, Curtis S. 1999. Strategic interaction and the statistical analysis of international conflict. American Political Science Review 93(2): 279–97.
Signorino, Curtis S. 2002. Strategy and selection in international relations. International Interactions 28: 93115.
Signorino, Curtis S. 2003. Structure and uncertainty in discrete choice models. Political Analysis 11: 316–44.
Signorino, Curtis S., and Yilmaz, Kuzey. 2003. Strategic misspecification in regression models. American Journal of Political Science 47(3): 551–66.
Smith, Alastair. 1999. Testing theories of strategic choice: The example of crisis escalation. American Journal of Political Science 42: 1254–83.
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In Defense of Comparative Statics: Specifying Empirical Tests of Models of Strategic Interaction

  • Clifford J. Carrubba (a1), Amy Yuen (a2) and Christopher Zorn (a3)


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