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A Noisy Model of Individual Behaviour

  • Basov, S.

This paper develops a model of individual adjustment subject to mistakes. In this case when mistakes are assumed i.i.d., this process produces a probability distribution of agents decision whose evolution is determined by Fokker-Planck equation. This distribution converges to the unique, globally stable stationary distribution. In the case when choice space is one dimensional this distribution satisfies Independence of Irrelevant Alternatives (IIA) property. In multidimensional case for IIA to hold strong additional conditions on payoff function or error structure should be satisfied. The paper also considers generalization of model for autocorrelated errors in one-dimensional case.

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Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 791.

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Length: 31 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mlb:wpaper:791
Contact details of provider: Postal: Department of Economics, The University of Melbourne, 4th Floor, FBE Building, Level 4, 111 Barry Street. Victoria, 3010, Australia
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  1. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  2. Ernst Fehr & Simon Gaechter, . "Fairness and Retaliation: The Economics of Reciprocitys," IEW - Working Papers 040, Institute for Empirical Research in Economics - University of Zurich.
  3. Fudenberg, D. & Harris, C., 1992. "Evolutionary dynamics with aggregate shocks," Journal of Economic Theory, Elsevier, vol. 57(2), pages 420-441, August.
  4. John Conlisk, 1996. "Why Bounded Rationality?," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 669-700, June.
  5. Bull, Clive & Schotter, Andrew & Weigelt, Keith, 1985. "Tournaments and Piece Rates: An Experimental Study," Working Papers 85-21, C.V. Starr Center for Applied Economics, New York University.
  6. Merlo, A. & Schotter, A., 1995. "A Surprise-Quiz View of Learning in Economic Experiments," Working Papers 95-32, C.V. Starr Center for Applied Economics, New York University.
  7. Akerlof, George A & Yellen, Janet L, 1985. "Can Small Deviations from Rationality Make Significant Differences to Economic Equilibria?," American Economic Review, American Economic Association, vol. 75(4), pages 708-20, September.
  8. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1999. "Stochastic Game Theory: Adjustment to Equilibrium Under Noisy Directional Learning," Virginia Economics Online Papers 327, University of Virginia, Department of Economics.
  9. Andrew Schotter & Keith Weigelt, 1992. "Asymmetric Tournaments, Equal Opportunity Laws, and Affirmative Action: Some Experimental Results," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 511-539.
  10. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Journal of Political Economy, University of Chicago Press, vol. 106(4), pages 828-853, August.
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