n this paper we investigate the implementation problem arising when some of the players are ``faulty" in the sense that they fail to act optimally. The exact number and identity of the faulty players is unknown to the planner and to the nonfaulty players, but it is common knowledge that there are at most k faulty players. We define a solution concept which requires a player to optimally respond to the nonfaulty players regardless of the identity and actions of the faulty players. We introduce a notion of fault-tolerant implementation, which unlike standard notions of full implementation, also requires robustness to deviations from the equilibrium. The main result of this paper establishes that under symmetric information any choice rule that satisfies two properties - k+1 monotonicity and no veto power - can be implemented by a strategic game form if there are at least three players and the number of faulty players is less than 1/2n-1. For exchange economies we show that the Walrasian correspondence and the core correspondence are implementable. As an application of our result we present examples of simple mechanisms that implement the constrained Walrasian function and a choice rule for the efficient allocation of an indivisible good.
Download Info
To our knowledge, this item is not available for
download. To find whether it is available, there are three
options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page
whether it is in fact available.
3. Perform a search for a similarly titled item that would be
available.
Publisher Info
Paper provided by Tel Aviv in its series Papers with number
21-99.
Find related papers by JEL classification: D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy-Making and Implementation
Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
Maskin, Eric & Sjostrom, Tomas, 2001.
"Implementation Theory,"
Working Papers
5-01-1, Pennsylvania State University, Department of Economics.
[Downloadable!]
Maskin, Eric & Sjostrom, Tomas, 2002.
"Implementation theory,"
Handbook of Social Choice and Welfare,
in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288
Elsevier.
[Downloadable!] (restricted)