Faulty Nash Implementation in Exchange Economies withSingle-peaked Preferences

In this paper, we reexamine Eliaz's results (2002) of fault tolerantimplementation on one hand and we extend theorems 1 and 2 of Doghmi and Ziad (2008a) to bounded rationality environments, on the other. We identify weak versions of thek-no veto power condition, in conjunction with unanimity and variants of k-monotonicity,are sufficient for implementability in k- Fault Tolerant Nash equilibria (k-FTNE). Inaddition, these new conditions are stable by intersection which makes it possible to checkdirectly the k ffi FTNE implementability of the social choice correspondences. We applythese results to exchange economies with single -peaked preferences, to nite allocationproblems, and to equilibrium theory.[...]