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A Sufficient Condition for Bayesian Implementation with Side Payments

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주제분류경제학

초록

It is well-known that with three agents and more, Bayesian monotonicity and the selfselection condition are both necessary and sufficient for Bayesian implementation in a general environment. Matsushima (1993) identified a condition, Condition 1, which is equivalent to Bayesian monotonicity under the strict self-selection (SSS) condition in an environment with side payments. This paper identifies a condition that is equivalent to Bayesian monotonicity under the self-selection condition in an environment with side payments when the prior probability is independently distributed. This condition identified here is weak in that its combination with the self-selection condition is weaker than the SSS condition.

Abstract

It is well-known that with three agents and more, Bayesian monotonicity and the selfselection condition are both necessary and sufficient for Bayesian implementation in a general environment. Matsushima (1993) identified a condition, Condition 1, which is equivalent to Bayesian monotonicity under the strict self-selection (SSS) condition in an environment with side payments. This paper identifies a condition that is equivalent to Bayesian monotonicity under the self-selection condition in an environment with side payments when the prior probability is independently distributed. This condition identified here is weak in that its combination with the self-selection condition is weaker than the SSS condition.

참고문헌 (11)

  1. Dutta, B, "2-person Bayesian implementation", Review of Economic design, 1, pp.41~54 (1994)
  2. Dutta, B., "Bayesian Implementation: The Necessity of Infinite Mechanisms", Journal of Economic Theory, 64, pp.130~141 (1994)
  3. Jackson, M., "Full Bayesian Implementation", Econometrica, 59, pp.461~478 (1991)
  4. Maskin, E, "Implementation theory, In Handbook of Social Choice and Welfare, Vol. 1", pp.237~288 (2002), Elsevier Science
  5. Matsushima, H, "Bayesian Monotonicity with Side Payments", Journal of Economic Theory, 59, pp.107~121 (1993)
  6. Mookherjee, D, "Implementation via Augmented Revelation Mechanisms", Review of Economic Studies, 57, pp.453~475 (1990)
  7. Palfrey, T., "Implementation Theory, In Handbook of Game Theory with Economic Applications, Vol. 3", pp.2310~ (2002), Elsevier Science
  8. Palfrey, T, "Implementation with Incomplete Information in Exchange Economies", Econometrica, 57, pp.115~134 (1989)
  9. Palfrey, T, "Mechanism Design with Incomplete Information: A Solution to the Implementation Problem", Journal of Political Economy, 97, pp.668~691 (1989)
  10. Palfrey, T, "Implementation in Bayesian Equilibrium: the Multiple Equilibrium Problem in Mechanism Design, In Advances in Economic Theory: Sixth World Congress, Vol. 1", pp.283~323 (1992), Cambridge University Press
  11. Palfrey, R, "Bayesian Implementation", Fundamentals of Pure and Applied Economics, 53 (1993)

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