The algorithmization of counterfactuals

Annals of Mathematics and Artificial Intelligence

Volumn 61, Issue 1, 2011, Pages 29-39

  Pearl, Judea ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Causal reasoning; Conditional logic; Counterfactuals

Indexed keywords

EID: 80051669186     PISSN: 10122443     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10472-011-9247-9     Document Type: Article

References (32)

1. Adams, E.: The Logic of Conditionals. D. Reidel, Dordrecht, Netherlands (1975).
2. Arlo-Costa, H.: The logic of conditionals. In: Zalta, E. N. (ed.) The Stanford Encyclopedia of Philosophy. http://plato. stanford. edu/entries/logic-conditionals/ (2007).
3. Balke, A., Pearl, J.: Counterfactuals and policy analysis in structural models. In: Besnard, P., Hanks, S. (eds.) Uncertainty in Artificial Intelligence 11, pp. 11-18. Morgan Kaufmann, San Francisco (1995).
4. Baron, R., Kenny, D.: The moderator-mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations. J. Pers. Soc. Psychol. 51, 1173-1182 (1986).
5. Campbell, D., Stanley, J.: Experimental and Quasi-Experimental Designs for Research. R. McNally and Co., Chicago, IL (1966).
6. Fine, K.: Review of Lewis' counterfactuals. Mind 84, 451-458 (1975).
7. Galles, D., Pearl, J.: An axiomatic characterization of causal counterfactuals. Found. Sci. 3, 151-182 (1998).
8. Gardenfors, P.: Causation and the dynamics of belief. In: Harper, W., Skyrms, B. (eds.) Causation in Decision, Belief Change and Statistics II, pp. 85-104. Kluwer Academic Publishers (1988).
9. Goldszmidt, M., Pearl, J.: Rank-based systems: a simple approach to belief revision, belief update, and reasoning about evidence and actions. In: Nebel, B., Rich, C., Swartout, W. (eds.) Proceedings of the Third International Conference on Knowledge Representation and Reasoning, pp. 661-672. Morgan Kaufmann, San Mateo, CA (1992).
10. Haavelmo, T.: The statistical implications of a system of simultaneous equations. Econometrica 11, 1-12 (1943) (Reprinted in Hendry, D. F., Morgan, M. S. (eds.) The Foundations of Econometric Analysis, pp. 477-490. Cambridge University Press (1995)).
11. Halpern, J.: Axiomatizing causal reasoning. In: Cooper, G., Moral, S. (eds.) Uncertainty in Artificial Intelligence, pp. 202-210. Morgan Kaufmann, San Francisco, CA (1998) (Also in J. Artif. Intell. Res. 12(3), 17-37 (2000).
12. Hurwicz, L.: Generalization of the concept of identification. In: Koopmans, T. (ed.) Statistical Inference in Dynamic Economic Models. Cowles Commission, Monograph 10, pp. 245-257. Wiley, New York (1950).
13. Joyce, J.: The Foundatins of Causal Decision Theory. Cambridge University Press, Cambridge, MA (1999).
14. Lewis, D.: Counterfactuals and comparative possibility. In: Harper, W. L., Stalnaker, R., Pearce, G. (eds.) Ifs, pp. 57-85. D. Reidel, Dordrecht, 1981 (1973).
15. Marschak, J.: Economic measurements for policy and prediction. In: Hood, W. C., Koopmans, T. (eds.) Studies in Econometric Method, pp. 1-26. Cowles Commission Monograph 10, Wiley and Sons, Inc. (1953).
16. Pearl, J.: Causal diagrams for empirical research. Biometrika 82, 669-710 (1995).
17. Pearl, J.: Causality: Models, Reasoning, and Inference, 2nd edn., 2009. Cambridge University Press, New York. (2000).
18. Pearl, J.: Direct and indirect effects. In: Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence, pp. 411-420. Morgan Kaufmann, San Francisco, CA (2001).
19. Pearl, J.: Causal inference in statistics: An overview. Statistics Surveys 3, 96-146. http://ftp. cs. ucla. edu/pub/stat_ser/r350. pdf (2009a).
20. Pearl, J.: Causality: Models, Reasoning, and Inference, 2nd edn. Cambridge University Press, New York (2009b).
21. Pearl, J.: The mediation formula: a guide to the assessment of causal pathways in nonlinear models. In: Berzuini, C., Dawid, P., Bernardinelli, L. (eds.) Causality: Statistical Perspectives and Applications. Tech. Rep. R-363, Department of Computer Science, University of California, Los Angeles. http://ftp. cs. ucla. edu/pub/stat_ser/r363. pdf (2011, forthcoming).
22. Pearl, J., Bareinboim, E.: Transportability of causal and statistical relations: a formal approach. In: Proceedings of AAAI-2011. Tech. Rep. R-372, Department of Computer Science, University of California, Los Angeles, CA. http://ftp. cs. ucla. edu/pub/stat_ser/r372-a. pdf (2011, forthcoming).
23. Petersen, M., Sinisi, S., van der Laan, M.: Estimation of direct causal effects. Epidemiology 17, 276-284 (2006).
24. Ramsey, F.: General propositions and causality. In: Mellor, H. A. (eds.) Philosophical Papers, pp. 145-153. Cambridge University Press, Cambridge (1929).
25. Robins, J., Greenland, S.: Identifiability and exchangeability for direct and indirect effects. Epidemiology 3, 143-155 (1992).
26. Shpitser, I., Pearl, J.: What counterfactuals can be tested. In: Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence, pp. 352-359. AUAI Press, Vancouver, BC, Canada (2007) (Also, J. Mach. Learn. Res. 9, 1941-1979 (2008)).
27. Shpitser, I., Pearl, J.: Effects of treatment on the treated: Identification and generalization. In: Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence. AUAI Press, Montreal, Quebec (2009).
28. Simon, H.: Causal ordering and identifiability. In: Hood, W. C., Koopmans, T. (eds.) Studies in Econometric Method, pp. 49-74. Wiley, Inc., New York, NY (1953).
29. Skyrms, B.: Causal Necessity. Yale University Press, New Haven (1980).
30. Stalnaker, R.: Letter to David Lewis. In: Harper, W. L., Stalnaker, R., Pearce, G. (eds.) Ifs, pp. 151-152. D. Reidel, Dordrecht, 1981 (1972).
31. Taylor, C., Dennett, D.: Who's still afraid of determinism? Rethinking causes and possibilities. In: Kane, R. H. (ed.) The Oxford Handbook of Free Will. Oxford University Press, New York (2011, forthcoming).
32. Tian, J., Pearl, J.: A general identification condition for causal effects. In: Proceedings of the Eighteenth National Conference on Artificial Intelligence, pp. 567-573. AAAI Press/The MIT Press, Menlo Park, CA (2002).