Structural stability and robustness to bounded rationality
AbstractThe introduction of a small amount of bounded rationality into a model sometimes has little effect, and sometimes has a dramatic impact on predicted behavior. We call a model robust to bounded rationality if small deviations from rationality result only in small changes in the equilibrium set. We also say that a model is structurally stable if the equilibrium set (given fully rational agents) varies continuously with the parameter values of the model. Our notions of a model and of rationality are quite broad, allowing us to cover cases in which bounded rationality refers to imperfect optimization, non-rational expectations, or arbitrary behavior by a subset of agents. We show that a model is robust to bounded rationality if and only if it is structurally stable. Thus, we can characterize which models will be robust to bounded rationality and which ones will not, independently of the exact form that bounded rationality takes. In addition, from our characterization it follows that introducing a small amount of bounded rationality will have large effects on predicted outcomes if and only if parameters are near a critical point where the equilibrium set changes in a discontinuous way JEL classification: C69, C79, D51, E19
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Bibliographic InfoPaper provided by Economics Division, School of Social Sciences, University of Southampton in its series Discussion Paper Series In Economics And Econometrics with number 0002.
Date of creation: 01 Jan 2000
Date of revision:
Find related papers by JEL classification:
- C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
- C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
- E19 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Other
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