caa a22 4500 463174496 CHVBK 20180406164822.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s00355-006-0163-6 doi (NATIONALLICENCE)springer-10.1007/s00355-006-0163-6 The Chairman's Paradox Revisited [Elektronische Daten] [M. Braham, F. Steffen] This paper re-examines the so-called ‘chairman's paradox‘ that was first noticed by Farquharson in his path breaking tract on sophisticated voting, Theory of Voting (1969). The Chairman's paradox is concerned with the case of a three member committee in which a particular player who has a regular and a tie-breaking vote - the ‘chairman' - not only will do worse in specific instances under the plurality procedure for three alternatives than if he did not have such a vote, but will also do worse overall. That is, the chairman's a priori probability of success (‘getting what one wants') for all possible games with linear (strict) preference orders is lower than that of the two regular members. It is demonstrated that this result, which comes about if voters act strategically rather than sincerely, is not as robust as it has been thought to be. By merely replacing the standard assumption of linear preference orders with weak preference orders, which allow for indifference, we can escape from the paradox for the canonical case of three players and three alternatives. With weak preference orders, the a priori success of the chairman is now greater than that of the other two players. We also point to a new paradox of sophisticated voting. Springer-Verlag, 2006 Braham M. Institute of SocioEconomics (IAW), University of Hamburg, Von-Melle-Park 5, 20146, Hamburg, Germany aut Steffen F. University of Liverpool Management School (ULMS), Chatham Street, L69 7ZH, Liverpool, UK aut Social Choice and Welfare Springer-Verlag 28/2(2007-02-01), 231-253 0176-1714 28:2<231 2007 28 355 https://doi.org/10.1007/s00355-006-0163-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00355-006-0163-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Braham M. Institute of SocioEconomics (IAW), University of Hamburg, Von-Melle-Park 5, 20146, Hamburg, Germany aut NATIONALLICENCE 700 1- Steffen F. University of Liverpool Management School (ULMS), Chatham Street, L69 7ZH, Liverpool, UK aut NATIONALLICENCE 773 0- Social Choice and Welfare Springer-Verlag 28/2(2007-02-01), 231-253 0176-1714 28:2<231 2007 28 355 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer