Testable Restrictions of Nash Equilibrium in Games with Continuous Domains
AbstractThis paper studies the falsifiability of the hypothesis of Nash behavior, for the case of a finite number of players who choose from continuous domains, subject to constraints. The results obtained here are negative. Assuming the observation of finite data sets, and using weak, but nontrivial, requirements for rationalizability, I show that the hypothesis is falsifiable, as it imposes nontautological, nonparametric testable restrictions. An assessment of these restrictions, however, shows that they are extremely weak, and that a researcher should expect, before observing the data set, that the test based on these restrictions will be passed by observed data. Without further specific assumptions, there do not exist harsher tests, since the conditions derived here also turn out to be suﬃcient. Moreover, ruling out the possibility that individuals may be cooperating so as to attain Pareto-eﬃcient outcomes is impossible, as this behavior is in itself unfalsifiable with finite data sets. Imposing aggregation, or strategic complementarity and/or substitutability, if theoretically plausible, may provide for a harsher test.
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Bibliographic InfoPaper provided by BANCO DE LA REPÚBLICA in its series BORRADORES DE ECONOMIA with number 003555.
Date of creation: 31 Jan 2003
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- Andrés Carvajal, . "Testable Restrictions of Nash Equilibrium in Games with Continuous Domains," Borradores de Economia 229, Banco de la Republica de Colombia.
- Andrés Carvajal, 2004. "Testable Restrictions of Nash Equilibrium in Games with Continuous Domains," Royal Holloway, University of London: Discussion Papers in Economics 04/26, Department of Economics, Royal Holloway University of London, revised Nov 2004.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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