As more business is conduced over the Internet, the fair exchange problem assumes increasing importance. However, the problem of multi-party fair exchange has not been studied as widely as the more fundamental problem of 2-party fair exchange. Recently, Franklin and Tsudik proposed two protocols for n-party multi-item exchange on FC'98, SUCEX-1 and SUCES-2. This paper first gives an attack on the proposed protocol SUCEX-1, then presents two protocols for multi-item exchange, one is an improved protocol of SUCEX-1, another is the extension of protocol SUCEX-2.
