EconPapers    
Economics at your fingertips  
 

STRONG NASH IMPLEMENTATION AND ECONOMIC APPLICATIONS

MISE EN ŒUVRE SELON L’EQUILIBRE DE NASH FORT ET APPLICATIONS ECONOMIQUES

Mohamed Bouchta (), Ahmed Doghmi () and Abderrahmane Ziad
Additional contact information
Mohamed Bouchta: National Institute of Statistics and Applied Economics,Madinat Al Irfane, Rabat Institutes, 10100 Rabat, Morocco
Ahmed Doghmi: National Institute of Statistics and Applied Economics,Madinat Al Irfane, Rabat Institutes, 10100 Rabat, Morocco

Working Papers from HAL

Abstract: Strong Nash implementation is a challenging problem for which there is no similar theorem to that of Maskin (1977/1999) for Nash implementation with simple conditions, which involves a wide range of applications. In this paper, we explore the origins of Maskin's theorem (1979) in this context. We assume that there exists at least one pair of agents who are associated with specific alternatives, which we refer to as separately exclusive alternatives. A pair of agents with separately exclusive alternatives is one where each agent prefers their own alternative over the other agent's alternative, and for each agent, all other agents in society prefer any socially chosen alternative over their respective alternatives. We show that when there are at least three agents, all social choice correspondences satisfying a strong version of Maskin monotonicity and unanimity can be implemented in Nash equilibria. We apply our findings to finite fair allocation problems in matching markets, to infinite fair allocation problems with single-peaked preferences, to efficient sharing Rules for a commonly owned technology and coalitional games.

Keywords: Implementation Strong Nash equilibrium Fair allocation problems. JEL classification: C72 D71; Implementation; Strong Nash equilibrium; Fair allocation problems. JEL classification: C72; D71 (search for similar items in EconPapers)
Date: 2025-04-26
Note: View the original document on HAL open archive server: https://hal.science/hal-05047583v1
References: Add references at CitEc
Citations:

Downloads: (external link)
https://hal.science/hal-05047583v1/document (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:wpaper:hal-05047583

Access Statistics for this paper

More papers in Working Papers from HAL
Bibliographic data for series maintained by CCSD ().

 
Page updated 2025-05-18
Handle: RePEc:hal:wpaper:hal-05047583