Efficient Repeated Implementation
AbstractThis paper examines repeated implementation of a social choice function (SCF) with infinitely-lived agents whose preferences are determined randomly in each period. An SCF is repeated-implementable in (Bayesian) Nash equilibrium if there exists a sequence of (possibly history-dependent) mechanisms such that (i) its equilibrium set is non-empty and (ii) every equilibrium outcome corresponds to the desired social choice at every possible history of past play and realizations of uncer- tainty. We first show, with minor qualifications, that in the complete information environment an SCF is repeated-implementable if and only if it is effcient. We then extend this result to the incomplete information setup. In particular, it is shown that in this case efficiency is sufficient to ensure the characterization part of repeated implementation. For the existence part, incentive compatibility is sufficient but not necessary. In the case of interdependent values, existence can also be established with an intuitive condition stipulating that deviations can be detected by at least one agent other than the deviator. Our incomplete information analysis can be extended to incorporate the notion of ex post equilibrium.
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Bibliographic InfoPaper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0948.
Date of creation: 13 Nov 2009
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Web page: http://www.econ.cam.ac.uk/index.htm
Repeated implementation; Nash implementation; Bayesian implementation; Ex post implementation; Efficiency; Incentive compatibility; Identifiability;
Other versions of this item:
- A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
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- NEP-ALL-2009-11-21 (All new papers)
- NEP-CTA-2009-11-21 (Contract Theory & Applications)
- NEP-GTH-2009-11-21 (Game Theory)
- NEP-MIC-2009-11-21 (Microeconomics)
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- Sambuddha Ghosh & Seungjin Han, 2012.
"Repeated Contracting in Decentralised Markets,"
Department of Economics Working Papers
2012-03, McMaster University, revised May 2013.
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