Wu, Haoyang (2016): A Bayesian implementable social choice function may not be truthfully implementable.
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Abstract
The revelation principle is a fundamental theorem in many economics fields. In this paper, I construct an example to show that a social choice function which can be implemented in Bayesian Nash equilibrium is not truthfully implementable. The key point is the cost condition given in Section 2.3: agents pay cost when carrying out strategies in the indirect mechanism, but will not pay cost in the direct mechanism by definition. As a result, the revelation principle may not hold when agents' strategies are costly in the indirect mechanism.
Item Type: | MPRA Paper |
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Original Title: | A Bayesian implementable social choice function may not be truthfully implementable |
Language: | English |
Keywords: | Revelation principle; Game theory; Mechanism design; Auction theory |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General |
Item ID: | 73893 |
Depositing User: | Haoyang Wu |
Date Deposited: | 22 Sep 2016 04:49 |
Last Modified: | 11 Oct 2019 03:06 |
References: | A. Mas-Colell, M.D. Whinston and J.R. Green, Microeconomic Theory, Oxford University Press, 1995. R.B. Myergeson, Multistage games with communication, Econometrica, vol.54, No.2, 323-358, 1986. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/73893 |
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A Bayesian implementable social choice function may not be truthfully implementable. (deposited 13 Sep 2016 11:34)
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A Bayesian implementable social choice function may not be truthfully implementable. (deposited 17 Sep 2016 10:40)
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A Bayesian implementable social choice function may not be truthfully implementable. (deposited 19 Sep 2016 09:06)
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A Bayesian implementable social choice function may not be truthfully implementable. (deposited 22 Sep 2016 04:49)
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A costly Bayesian implementable social choice function may not be truthfully implementable. (deposited 24 Sep 2016 11:08)
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A costly Bayesian implementable social choice function may not be truthfully implementable. (deposited 28 Sep 2016 07:26)
- A costly Bayesian implementable social choice function may not be truthfully implementable. (deposited 01 Oct 2016 17:38)
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A costly Bayesian implementable social choice function may not be truthfully implementable. (deposited 28 Sep 2016 07:26)
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A costly Bayesian implementable social choice function may not be truthfully implementable. (deposited 24 Sep 2016 11:08)
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A Bayesian implementable social choice function may not be truthfully implementable. (deposited 22 Sep 2016 04:49)
[Currently Displayed]
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A Bayesian implementable social choice function may not be truthfully implementable. (deposited 19 Sep 2016 09:06)
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A Bayesian implementable social choice function may not be truthfully implementable. (deposited 17 Sep 2016 10:40)