This paper studies categorizations that are optimal for the purpose of making predictions. A subject encounters an object (x,y). She observes the first component, x, and has to predict the second component, y. The space of objects is partitioned into categories. The subject determines what category the new object belongs to on the basis of x, and predicts that its y-value will be equal to the average y-value among the past observations in that category. The optimal categorization minimizes the expected prediction error. The main results are driven by a bias-variance trade-off: The optimal size of a category around x, is increasing in the variance of y conditional on x, decreasing in the variance of the conditional mean, decreasing in the size of the data base, and decreasing in the marginal density over x.
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- Itzhak Gilboa & David Schmeidler, 2002.
"Inductive Inference: An Axiomatic Approach,"
Levine's Working Paper Archive
391749000000000544, David K. Levine.
- Gilboa, I. & Schmeidler, D., 2001. "Inductive Inference: An Axiomatic Approach," Papers 2001-19, Tel Aviv.
- Itzhak Gilboa & David Schmeidler, 2001. "Inductive Inference: An Axiomatic Approach," Cowles Foundation Discussion Papers 1339, Cowles Foundation for Research in Economics, Yale University.
- Itzhak Gilboa & David Schmeidler, 2002. "Inductive Inference: An Axiomatic Approach," NajEcon Working Paper Reviews 391749000000000544, www.najecon.org.
- Gilboa, I. & Schmeidler, D., 1999. "Inductive Inference: an Axiomatic Approach," Papers 29-99, Tel Aviv.
- Itzhak Gilboa & Offer Lieberman & David Schmeidler, 2004.
122247000000000684, UCLA Department of Economics.
- Friederike Mengel, 2007.
"Learning Across Games,"
Working Papers. Serie AD
2007-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Steiner, Jakub & Stewart, Colin, 2008.
"Contagion through learning,"
Econometric Society, vol. 3(4), December.
- Jehiel, Philippe, 2005.
"Analogy-based expectation equilibrium,"
Journal of Economic Theory,
Elsevier, vol. 123(2), pages 81-104, August.
- Philippe Jehiel & Dov Samet, 2006.
784828000000000111, UCLA Department of Economics.
- Philippe Jehiel & Frédéric Koessler, 2006.
"Revisiting Games of Incomplete Information with Analogy-Based Expectations,"
122247000000000252, UCLA Department of Economics.
- Jehiel, Philippe & Koessler, Frédéric, 2008. "Revisiting games of incomplete information with analogy-based expectations," Games and Economic Behavior, Elsevier, vol. 62(2), pages 533-557, March.
- Philippe Jehiel & Frederic Koessler, 2005. "Revisiting Games of Incomplete Information with Analogy-Based Expectations," THEMA Working Papers 2005-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Punj, Girish & Moon, Junyean, 2002. "Positioning options for achieving brand association: a psychological categorization framework," Journal of Business Research, Elsevier, vol. 55(4), pages 275-283, April.
- Dow, James, 1991. "Search Decisions with Limited Memory," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 1-14, January.
- Joshua Coval & Jakub Jurek & Erik Stafford, 2009. "The Economics of Structured Finance," Journal of Economic Perspectives, American Economic Association, vol. 23(1), pages 3-25, Winter.
- Basu, Kaushik, 1994. "The Traveler's Dilemma: Paradoxes of Rationality in Game Theory," American Economic Review, American Economic Association, vol. 84(2), pages 391-95, May.
- Azrieli, Yaron, 2009. "Categorizing others in a large game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 351-362, November.
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