The Hare system is based on the idea of arriving at a social choice by successive deletions of less desirable candidates. More precisely,the procedure is as follows.If any candidate occurs at the top of at least half the preference lists,then it is declared to be the social choice (or at least tied for such),and the process is completed. If no candidate is on top of half of the lists,then we select the candidate(s)occurring at the top of the fewest lists and we delete this (these)particular candidate(s) from each of the preference lists. The Hare system is based on the idea of arriving at a social choice by successive deletions of less desirable candidates. More precisely, the procedure is as follows. If any candidate occurs at the top of at least half the preference lists, then it is declared to be the social choice (or at least tied for such), and the process is completed. If no candidate is on top of half of the lists, then we select the candidate(s) occurring at the top of the fewest lists and we delete this (these) particular candidate(s) from each of the preference lists