Abstract
We study the empirical content of serial dictatorship and the core of housing markets. Under serial dictatorship, allocations reveal restrictions on the power ranking between agents. Testing for consistency with serial dictatorship amounts to checking whether there is an ordering satisfying these restrictions, which can be done using a simple generalization of the procedure used to check SARP. When it comes to voluntary trade instead, we characterize the empirical content of the core in Shapley and Scarf (J Math Econ 1:23–27, 1974) housing markets using revealed top-trading cycles. This characterization proves useful in many examples, but is also used to show that testing core consistency can be much more complex.
Similar content being viewed by others
References
Carvajal, A., Deb, R., Fenske, J., Quah, J.: Revealed preference tests of the cournot model. Econometrica 81(6), 2351–2379 (2013)
Chambers, C., Echenique, F.: On the consistency of data with bargaining theories. Theor. Econ. 9(1), 137–162 (2014)
Chase, I.D.: Dynamics of hierarchy formation: the sequential development of dominance relationships. Behaviour 80(3/4), 218–240 (1982)
de Clippel, G., Rozen, K.: Bounded rationality and limited datasets. Theor. Econ. 16, 359–380 (2021)
Echenique, F.: What matchings can be stable? Testable Implic. Matching Theory Math. Op. Res. 33(3), 757–768 (2008)
Forges, F., Minelli, E.: Afriat’s theorem for general budget sets. J. Econ. Theory 144, 135–145 (2009)
Hu, G., Li, J., Tang, R.: The revealed preference theory of stable matchings with one-sided preferences. Games Econom. Behav. 124, 305–318 (2020)
Kalyanaraman, S., Umans, C.: the complexity of rationalizing matchings, In: ISAAC ’08 Proceedings of the 19th International Symposium on Algorithms and Computation, pp. 171–182 (2008)
Piccione, M., Rubinstein, A.: Equilibrium in the jungle. Econ. J. 117(522), 883–896 (2007)
Ray, I., Zhou, L.: Game theory via revealed preferences. Games Econom. Behav. 37(2), 415–424 (2001)
Shapley, L., Scarf, H.: On cores and indivisibility. J. Math. Econ. 1, 23–27 (1974)
Sprumont, Y.: On the testable implications of collective choice theories. J. Econ. Theory 93, 205–232 (2000)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
de Clippel, G., Rozen, K. Empirical content of classic assignment methods: jungle and market economy. Econ Theory 76, 813–825 (2023). https://doi.org/10.1007/s00199-022-01479-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00199-022-01479-5