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Feasible Bayesian Implementation When Endowments are Unknown: A Case of Public Goods Economy

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주제분류경영학

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In this paper, we study a feasible Bayesian implementation problem for exchange economies with public goods when preferences are known but endowments unknown. We show that for exchange economies with public goods and at least three agents, a social choice rule can be implemented by a feasible mechanism in Bayesian Nash equilibrium if and only if it is Bayesian monotonic and Bayesian incentive compatible.

Abstract

In this paper, we study a feasible Bayesian implementation problem for exchange economies with public goods when preferences are known but endowments unknown. We show that for exchange economies with public goods and at least three agents, a social choice rule can be implemented by a feasible mechanism in Bayesian Nash equilibrium if and only if it is Bayesian monotonic and Bayesian incentive compatible.

참고문헌 (14)

  1. d’Aspremont, C., "Aggregation and Revelation of Preferences, Ch.15" (1979), North-Holland Publishing Company
  2. Harsanyi, J. C., "Games with Incomplete Information Played by ‘Bayesian’ Players: Parts I–III", Management Science, 14, pp.159~182 (1967)[DOI]
  3. Hong, L., "Bayesian Implementation in Exchange Economies with State Dependent Feasible Sets and Private Information", Social Choice and Welfare, 13, pp.433~444 (1996)
  4. Hurwicz, L., "Decision and Organization: A Volume in Honor of Jacob Marschak, Ch.14" (1972), North-Holland Publishing Co
  5. Hurwicz, L., "The Economics of Informational Decentralization, Complexity, Efficiency and Stability, Ch.14" (1995), Kluwer Academic Publishers
  6. Jackson, M. O., "Bayesian Implementation", Econometrica, 59, pp.461~477 (1991)
  7. Jackson, M. O., "A Crash Course in Implementation Theory", Social Choice and Welfare, 18, pp.655~708 (2001)
  8. Maskin, E. S., "Nash Equilibrium and Welfare Optimality", Review of Economic Studies, 66, pp.23~38 (1999)
  9. Maskin, E. S., "Handbook of Social Choice and Welfare, Ch. 5" (2001), Elsevier
  10. Milgrom, P. R., "An Axiomatic Characterization of Common Knowledge", Econometrica, 49, pp.219~221 (1981)
  11. Palfrey, T. R., "Implementation in Bayesian Equilibrium: The Multiple Equilibrium Problem in Mechanism Design", Advances in Economic Theory: Econometric Society Monographs, 1(20), pp.283~323 (1992), Cambridge University Press
  12. Palfrey, T. R., "Mechanism Design with Incomplete Information: A Solution to the Implementation Problem", Journal of Political Economy, 97, pp.668~691 (1989)
  13. Palfrey, T. R., "Implementation with Incomplete Information in Exchange Economies", Econometrica, 57, pp.115~134 (1989)
  14. Tian, G., "Bayesian Implementation in Exchange Economies with State Dependent Preferences and Feasible Sets", Social Choice and Welfare, 16, pp.99~119 (1999)

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