Suppose that each individual gets satisfaction 3 from expressing his or her own true views, but feels a loss {\"social disapproval") in not conforming to a middleoftheroad position. The amount of the loss depends on the fraction o. of M types: suppose that it equals the amount orl or). {a} Show that there is a threshold value of o. such that everybody in society will express their own view if or is less than the threshold1 but will all express Mviews if o. exceeds the threshold. {b} What happens if we change the specication somewhat to say that the \"social disapproval loss" equals ,3 I," (1 13)] where ,8 is the expected fraction of people who choose to express M views (and not necessarily the true fraction of M types)? (c) Indicate how you would extend the analysis to a case in which there are potential con formist urges attached to each of the views L, M , and R3 and not just M