The importance of categorical reasoning in human cognition is well-established in psychology and cognitive science, and it is generally acknowledged that one of the most important functions of categorization is to facilitate prediction. This paper provides a model of optimal categorization. In the beginning of each period a subject observes a two-dimensional object in one dimension and wants to predict the object's value in the other dimension. The subject partitions the space of objects into categories. She has a data base of objects that were observed in both dimensions in the past. The subject determines what category the new object belongs to on the basis of observation of its first dimension. The average value in the second dimension, of objects in this category in the data base, is used as prediction for the object at hand. At the end of each period the second dimension is observed and the observation is stored in the data base. The main result is that the optimal number of categories is determined by a trade-off between (a) decreasing the size of categories in order to enhance category homogeneity, and (b) increasing the size of categories in order to enhance category sample size.
|Date of creation:||31 May 2009|
|Date of revision:||08 Jul 2009|
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- Philippe Jehiel & Dov Samet, 2006.
784828000000000111, 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.
- Philippe Jehiel & Frédéric Koessler, 2006. "Revisiting Games of Incomplete Information with Analogy-Based Expectations," Levine's Bibliography 122247000000000252, UCLA Department of Economics.
- Philippe Jeniel, 2001.
"Analogy-Based Expectation Equilibrium,"
Economics Working Papers
0003, Institute for Advanced Study, School of Social Science.
- Mengel, Friederike, 2012.
"Learning across games,"
Games and Economic Behavior,
Elsevier, vol. 74(2), pages 601-619.
- Itzhak Gilboa & Offer Lieberman & David Schmeidler, 2004.
Cowles Foundation Discussion Papers
1486, Cowles Foundation for Research in Economics, Yale University.
- Steiner, Jakub & Stewart, Colin, 2008.
"Contagion through learning,"
Econometric Society, vol. 3(4), December.
- Dow, James, 1991. "Search Decisions with Limited Memory," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 1-14, January.
- Itzhak Gilboa & David Schmeidler, 2002.
"Inductive Inference: An Axiomatic Approach,"
NajEcon Working Paper Reviews
- 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," Levine's Working Paper Archive 391749000000000544, David K. Levine.
- Gilboa, I. & Schmeidler, D., 2001. "Inductive Inference: An Axiomatic Approach," Papers 2001-19, Tel Aviv.
- Gilboa, I. & Schmeidler, D., 1999. "Inductive Inference: an Axiomatic Approach," Papers 29-99, Tel Aviv.
- 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.
- 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.
- 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.
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