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Rates of convergence of B-processes: Some simulation results

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Abstract

This paper reports simulation results on the B-process of Hurwicz, Radner and Reiter (1975). In economies with indivisible goods, (where a competitive equilibrium need not exist) simulations indicate that the B-process converges quite rapidly to Pareto optimal outcomes. Furthermore, in an example of Gale (1963) with two divisible goods and convex preferences, the B-process yields equitable outcomes, in contrast to the Walrasian tatonnement, which converges to very ‘unfair’ allocations.

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References

  1. Arrow, K.J, and Hurwicz, L. (eds), 1977, Studies in Resource Allocation Processes, Cambridge University Press, New York.

    Google Scholar 

  2. Bala, V., 1988, Computer Simulation of B-Processes, Department of Economics Working Paper No. 410, Uris Hall, Cornell University, Ithaca, New York 14853.

    Google Scholar 

  3. Debreu, G., 1959, Theory of Value: An Axiomatic Analysis of Economic Equilibrium, Yale University Press, New Haven.

    Google Scholar 

  4. Gale, D., 1963, ‘A Note on the Global Instability of Competitive Equilibrium’, Naval Research Logistics Quarterly, 10, p. 81–87.

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  5. Hurwicz, L., Radner, R. and Reiter, S., 1975, ‘A stochastic decentralized resource allocations mechanism, Part I’, Econometrica, 43, p. 187–223.

    Google Scholar 

  6. Jordan, J.S., 1983, ‘Locally Stable Price Mechanisms’, Journal of Mathematical Economics, 11 (3).

  7. McKenzie, L., 1981, ‘The Classical Theorem on Existence of Competitive Equilibrium’, Econometrica, 49, pp. 819–842.

    Google Scholar 

  8. Scarf, H., 1960, ‘Some Examples of Global Instability of Competitive Equilibrium’, International Economic Review, 1 (3).

  9. Van Der Laan, G. and Talman, A.J.J., 1987, ‘A Convergent Price Adjustment Process’, Journal of Economic Letters, 23, pp. 119–123.

    Google Scholar 

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Bala, V. Rates of convergence of B-processes: Some simulation results. Computer Science in Economics and Management 3, 281–286 (1990). https://doi.org/10.1007/BF00437070

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