Econometrica: Sep, 1975, Volume 43, Issue 5

The Continuity of Majority Rule Equilibrium

https://doi.org/0012-9682(197509/11)43:5/6<853:TCOMRE>2.0.CO;2-W
p. 853-866

A. T. Denzau, R. P. Parks

Under the assumption of single peaked preferences, the majority rule equilibrium considered as a correspondence from the voters' preference peaks is shown to be continuous. We also complement the work of Fishburn [6], who first presented a general location theorem for majority rule equilibriums, by dropping the assumptions that the alternative set is finite and that voters' preferences are strict partial orders.