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Forecasting the Vote: A Theoretical Comparison of Election Markets and Public Opinion Polls

Published online by Cambridge University Press:  04 January 2017

S. G. Kou  and
Michael E. Sobel
S. G. Kou
Affiliation:
312 Mudd Building, Department of IEOR, Columbia University, New York, NY 10027. e-mail: [email protected]
Michael E. Sobel
Affiliation:
421 Fayerweather Hall, Columbia University, New York, NY 10027. e-mail: [email protected]
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Abstract

The dominant methodology for short-term forecasting of electoral outcomes uses trial-heat polls, where respondents report their current electoral preferences (not their election-day predictions). Election markets, where self-selected participants trade shares of candidates at prices predictive of election-day results, provide an alternative method that often produces more accurate forecasts. Consequently, increasing attention is being paid to this methodology. However, it is poorly understood and lacks theoretical justification. Surprisingly, the rationale for forecasting using trial-heat polls has not been completely developed either. We develop the justification for using both election markets and public opinion polls to forecast electoral outcomes, giving conditions under which each method performs ideally. For the ideal case, we prove (under the reasonable assumption that market participants are aware of the poll results) that the mean square prediction error for the market forecast is smaller than that of any forecast based on one or more polls. The case in which the assumptions supporting each method fail is also considered. It is often reasonable to expect that the best case results hold approximately, in which case the market forecast should also beat any poll-based forecast. We also compare the bias and variance of market and poll-based forecasts; our results suggest the utility of using the series of market prices to study the course of campaigns.

Type
Research Article
Information
Political Analysis , Volume 12 , Issue 3 , Summer 2004 , pp. 277 - 295
Copyright
Copyright © Society for Political Methodology 2004 

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References

Beck, Nathaniel. 1992. “We Should be Modest.” Political Methodologist 5: 19–24.Google Scholar
Beck, Nathaniel. 2000. “Evaluating Forecasts and Forecasting Models of the 1996 Presidential Election.” In Before the Vote: Forecasting American National Elections. eds. Campbell, James E. and Garand, James C. Thousand Oaks, CA: Sage, pp. 161–167.Google Scholar
Berg, Joyce, Forsythe, Robert, and Rietz, Thomas. 1997. “What Makes Markets Predict Well? Evidence from the Iowa Electronic Markets.” In Understanding Strategic Interaction: Essays in Honor of Reinhard Selten, ed. Guth, Wilfried. Berlin: Springer-Verlag, pp. 444–463.CrossRefGoogle Scholar
Blomberg, S. Brock, and Hess, Gregory D. 1997. “Politics and Exchange Rate Forecasts.” Journal of International Economics 43: 189–205.CrossRefGoogle Scholar
Bohm, Peter, and Sonnegård, Joakim. 1999. “Political Stock Markets and Unreliable Polls.” Scandinavian Journal of Economics 101: 205–222.CrossRefGoogle Scholar
Brander, James A. 1991. “Election Polls, Free Trade, and the Stock Market: Evidence from the 1988 Canadian General Election.” Canadian Journal of Economics 24: 827–843.CrossRefGoogle Scholar
Campbell, James E. 1992. “Forecasting the Presidential Vote in the States.” American Journal of Political Science 36: 386–407.CrossRefGoogle Scholar
Campbell, James E., and Garand, James C., eds. 2000. Before the Vote: Forecasting American National Elections. Thousand Oaks, CA: Sage.Google Scholar
Chan, Nicholas T., Dahan, Ely, Lo, Andrew W., and Poggio, Tomaso. 2001. “Experimental Markets for Product Concepts.” CBCL Memo 200, MIT Sloan School of Management.Google Scholar
Crespi, Irving. 1988. Pre-election Polling: Sources of Accuracy and Error. New York: Russell Sage Foundation.Google Scholar
Davis, Mark. 1997. “Option Pricing in Incomplete Markets.” In Mathematics of Derivative Securities, eds. Dempster, Michael A. H. and Pliska, Stanley R. Cambridge: Cambridge University Press, pp. 216–226.Google Scholar
Erikson, Robert S. 1989. “Economic Conditions and the Presidential Vote.” American Political Science Review 83: 567–573.CrossRefGoogle Scholar
Erikson, Robert S. 1993. “Counting Likely Voters in Gallup's Tracking Poll.” Public Perspective, March: 22–23.Google Scholar
Erikson, Robert S., and Wlezien, Christopher. 1994. “Forecasting the Presidential Vote, 1992.” Political Methodologist 5: 10–11.Google Scholar
Fair, Ray C. 1978. “The Effect of Economic Events on Votes for President.” Review of Economics and Statistics 60: 59–172.CrossRefGoogle Scholar
Fair, Ray C. 1996. “Econometrics and Presidential Elections.” Journal of Economic Perspectives 10: 89–102.CrossRefGoogle Scholar
Forsythe, Robert, Frank, Murray, Krishnamurthy, Vasu, and Ross, Thomas W. 1998. “Markets as Predictors of Election Outcomes: Campaign Events and Judgement Bias in the 1993 UBC Election Stock Market.” Canadian Public Policy 24: 329–351.CrossRefGoogle Scholar
Forsythe, Robert, Nelson, Forrest, Neumann, George R., and Wright, Jack. 1992. “Anatomy of an Experimental Political Stock Market.” American Economic Review 82: 1142–1161.Google Scholar
Forsythe, Robert, Rietz, Thomas A., and Ross, Thomas W. 1999. “Wishes, Expectations and Actions: A Survey on Price Formation in Election Stock Markets.” Journal of Economic Behavior and Organization 39: 83–110.CrossRefGoogle Scholar
Gelman, Andrew, and King, Gary. 1993. “Why Are American Presidential Election Campaign Polls So Variable When Votes Are So Predictable?” British Journal of Political Science 23: 409–451.CrossRefGoogle Scholar
Herron, Michael C., Lavin, James, Cram, Donald, and Silver, Jay. 1999. “Measurement of Political Effects in the United States Economy: A Study of the 1992 Presidential Election.” Economics and Politics 11: 51–81.CrossRefGoogle Scholar
Hull, John. 2000. Options, Futures, and Other Derivative Securities, 4th ed. Englewood Cliffs, NJ: Prentice Hall.Google Scholar
Karatzas, Ioannis, and Kou, S. G. 1996. “On Pricing of Contingent Claims under Constraints.” Annals of Applied Probability 6: 321–369.CrossRefGoogle Scholar
Knight, Brian. 2003. “Are Policy Platforms Capitalized into Equity Prices? Evidence from the Bush/Gore 2000 Presidential Election.” Unpublished manuscript, Brown University.CrossRefGoogle Scholar
Kou, S. G., and Sobel, Michael E. 2001. “Hedging Electoral Risk.” Risk 14: 95–98.Google Scholar
Lau, Richard R. 1994. “An Analysis of the Accuracy of ‘Trial Heat’ Polls during the 1992 Presidential Election.” Public Opinion Quarterly 58: 2–20.CrossRefGoogle Scholar
Lewis-Beck, Michael S., and Stegmaier, Mary. 2000. “Economic Determinants of Electoral Outcomes.” Annual Review of Political Science 3: 183–219.CrossRefGoogle Scholar
Little, Roderick J.A., and Rubin, Donald B. 1987. Statistical Analysis with Missing Data. New York: Wiley.Google Scholar
Lucas, Robert. 1978. “Asset Prices in an Exchange Economy.” Econometrica 46: 1429–1445.CrossRefGoogle Scholar
Milgrom, Paul, and Stokey, Nancy. 1982. “Information, Trade and Common Knowledge.” Journal of Economic Theory 26: 17–27.CrossRefGoogle Scholar
Mitofsky, Warren J. 1998. “Was 1996 a Worse Year for the Polls than 1948?” Public Opinion Quarterly 62: 230–249.CrossRefGoogle Scholar
Mosteller, Frederick, Hyman, Herbert, McCarthy, Phillip J., Marks, Eli S., and Truman, David B. 1949. The Pre-election Polls of 1948. New York: Social Science Research Council.Google Scholar
Newport, Frank. 1997. “The Pre-election Polls Performed Well in ’96.” Public Perspective, January: 50–51.Google Scholar
Panagakis, Nick. 1997. “Incumbent Races: A National Perspective.” Public Perspective, January: 21–23.Google Scholar
Pennock, David M., Lawrence, Steve, Nielsen, Finn A., and Lee Giles, C. 2001. “Extracting Collective Probabilistic Forecasts from Web Games.” In Proceedings of the 7th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 174–183.Google Scholar
Rhode, Paul W., and Strumpf, Koleman S. 2003. “Historical Presidential Betting Markets.” Unpublished manuscript, University of North Carolina at Chapel Hill.Google Scholar
Riley, William B., and Luksetich, William A. 1980. “The Market Prefers Republicans: Myth or Reality.” Journal of Financial and Quantitative Analysis 15: 541–560.CrossRefGoogle Scholar
Rosenstone, Steven J. 1983. Forecasting Presidential Elections. New Haven, CT: Yale University Press.CrossRefGoogle Scholar
Shaw, Daron R., and Roberts, Brian E. 2000. “Campaign Events, the Media and the Prospects of Victory: The 1992 and 1996 U.S. Presidential Elections.” British Journal of Political Science 30: 259–290.CrossRefGoogle Scholar
Spann, Martin, and Skiera, Bernd. 2003. “Internet-Based Virtual Stock Markets for Business Forecasting.” Management Science 49: 1310–1326.CrossRefGoogle Scholar
Stokey, Nancy, and Lucas, Robert. 1993. Recursive Methods in Economic Dynamics. Cambridge, MA: Harvard University Press.Google Scholar
Traugott, Michael W., and Lavrakas, Paul J. 2000. The Voter's Guide to Election Polls, 2nd ed. New York: Seven Bridges.Google Scholar
Voss, D. Stephen, Gelman, Andrew, and King, Gary. 1995. “Preelection Survey Methodology: Details from Eight Polling Organizations, 1988 and 1992.” Public Opinion Quarterly 59: 98–132.CrossRefGoogle Scholar
Wlezien, Christopher, and Erikson, Robert S. 2000. “Temporal Horizons and Presidential Election Forecasts.” In Before the Vote: Forecasting American National Elections, eds. Campbell, James E. and Garand, James C. Thousand Oaks, CA: Sage, pp. 103–118.Google Scholar