Implementation in Undominated Strategies: A Look at Bounded Mechanisms

@article{Jackson1992ImplementationIU,
  title={Implementation in Undominated Strategies: A Look at Bounded Mechanisms},
  author={Matthew O. Jackson},
  journal={The Review of Economic Studies},
  year={1992},
  volume={59},
  pages={757-775}
}
  • M. Jackson
  • Published 1 September 1992
  • Economics
  • The Review of Economic Studies
This paper examines the impact of placing natural restrictions on the mechanisms considered for implementation problems. It is shown that if all mechanisms are considered and preferences satisfy a basic condition, then any social choice correspondence can be implemented in undominated strategies. An example points out that the strength of this result derives from the use of mechanisms with questionable features. In part of the message space the agent who announces the highest integer is… 
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295 Citations
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295 Citations

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References

SHOWING 1-10 OF 17 REFERENCES
Nash Implementation Using Undominated Strategies
The authors study the problem of implementing social choice correspondences via Nash equilibrium in which no one uses a weakly dominated strategy. The main result is that if there are at least three…
Rationalizable Strategic Behavior and the Problem of Perfection
This paper explores the fundamental problem of what can be inferred about the outcome of a noncooperative game, from the rationality of the players and from the information they possess. The answer…
Implementation via Augmented Revelation Mechanisms
Consider the problem of Bayesian implementation, i.e., of constructing mechanisms with the property that all Bayesian equilibrium outcomes agree with a given choice rule. We show that a general…
Manipulation via Endowments
A competitive allocation in an exchange economy has several desirable properties; it is (with minimal assumptions) Pareto optimal and it guarantees that each trader doesn't lose utility in the trade.…
STRATEGY SPACE REDUCTION IN MASKIN'S THEOREM: SUFFICIENT CONDITIONS FOR NASH IMPLEMENTATION
Contributions by E. Maskin and S. Williams have established that any social choice cor respondence satisfying monotonicity, no veto power, and having at lea st three participants is Nash…
Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions
Game forms for Nash implementation of general social choice correspondences
Several game forms are given for Nash implementing general social choice correspondences (SCC's) which satisfy Maskin's conditions of monotonicity and No Veto Power. The game forms have smaller…
VIRTUAL IMPLEMENTATION IN NASH EQUILIBRIUM
The two-person case needs to be considered separately. We provide a complete characterization of virtually implementable two-person social choice functions. While not all two-person social choice…
On Bayesian Implementable Allocations
This paper identifies several social choice correspondences which are or are not fully implementable in economic environments when agents are incompletely informed about the environment. We show that…
Implementation via Nash Equilibria
This paper is concerned with a problem of implementation of a given social choice correspondence. The authors introduces an essential monotonicity condition and show that any implementable social…
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