Argumentation-based　negotiation　of　agent　has　been　well　known　and　widely　studied　for　it　can　make　agent　who　received　the　argumentation　change　its　preferences　or　goals　and　make　the　negotiators　find　a　well　compromise　quickly　in　the　end.　But　few　can　effectively　and　formally　model　and　evaluate　with　appeal,　which　is　the　most　important　kind　of　argumentation.　The　goals　of　this　paper　are　to　formally　model　with　appeal　and　its　evaluation,　and　then　analyze　its　strength　through　the　simulated　calculation　of　it,　which　can　make　the　negotiator　appealed　make　a　right　choice　and　accomplish　the　cooperation　with　its　opponent.　©2006　IEEE.