• 1 Introduction
  • 2 Notations and definitions
  • 3 New sufficient conditions for faulty Nashimplementation
  • 4 Applications in exchange economies withSingle-peaked preferences
  • 4.1 Stability and k-FTNE implementability of theintersection of fair division solutions
  • 4.2 On no-monotonic solutions of the problem of fairdivision
  • 5 Application to nite allocation problems
  • 5.1 k-FTNE implementability of the Pareto correspondence
  • 5.2 k-FTNE implementability of the core correspondence in coalitionalgames
  • 6 Application to Equilibrium theory: theconstrainedWalrasian correspondence withslack
  • 7 Conclusion
  • References