Learning and stability of the Bayesian-Walrasian equilibrium
Under the Bayesian-Walrasian Equilibrium (BWE) (see Balder and Yannelis, 2009), agents form price estimates based on their own private information, and in terms of those prices they can formulate estimated budget sets. Then, based on his/her own private information, each agent maximizes interim expected utility subject to his/her own estimated budget set. From the imprecision due to the price estimation it follows that the resulting equilibrium allocation may not clear the markets for every state of nature, i.e., exact feasibility of allocations may not occur. This paper shows that if the economy is repeated from period to period and agents refine their private information by observing the past BWE, then in the limit all agents will obtain the same information and market clearing will be reached. The converse is also true. The analysis provides a new way of looking at the asymmetric equilibrium which has a statistical foundation.
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Volume (Year): 46 (2010)
Issue (Month): 5 (September)
Pages: 762-774
| Handle: | RePEc:eee:mateco:v:46:y:2010:i:5:p:762-774 |
| Contact details of provider: | Web page: http://www.elsevier.com/locate/jmateco
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References listed on IDEAS
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- Erik Balder & Nicholas Yannelis, 2009. "Bayesian–Walrasian equilibria: beyond the rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 385-397, February.
- Allen, Beth E, 1981. "Generic Existence of Completely Revealing Equilibria for Economies with Uncertainty when Prices Convey Information," Econometrica, Econometric Society, vol. 49(5), pages 1173-99, September.
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- Koutsougeras, Leonidas & Yannelis, Nicholas C., 1999. "Bounded rational learning in differential information economies: core and value," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 373-391, April.
- Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-78, May.
- Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2009. "On non-revealing rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 351-369, February.
- Roy Radner, 1997. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Levine's Working Paper Archive 1594, David K. Levine.
- Kreps, David M., 1977. "A note on "fulfilled expectations" equilibria," Journal of Economic Theory, Elsevier, vol. 14(1), pages 32-43, February.
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