English

Traditional sufficient conditions for Nash implementation may fail on Internet

Computer Science and Game Theory 2012-06-07 v1

Abstract

The Maskin's theorem is a fundamental work in the theory of mechanism design. In this paper, we propose that if agents report messages to the designer through channels (e.g., Internet), agents can construct a self-enforcing agreement such that any Pareto-inefficient social choice rule satisfying monotonicity and no-veto will not be Nash implementable when an additional condition is satisfied. The key points are: 1) The agreement is unobservable to the designer, and the designer cannot prevent the agents from constructing such agreement; 2) The agents act non-cooperatively, and the Maskin mechanism remain unchanged from the designer's perspective.

Cite

@article{arxiv.1206.1188,
  title  = {Traditional sufficient conditions for Nash implementation may fail on Internet},
  author = {Haoyang Wu},
  journal= {arXiv preprint arXiv:1206.1188},
  year   = {2012}
}

Comments

17 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1004.5327

R2 v1 2026-06-21T21:14:59.613Z