2019-34 Chinese film-stars

CHINESE FILM STARS (The first demonstration of electronic voting was in Beijing.)

中国的影星

In consensus voting, we seldom if ever choose only one individual/policy option.  Compromise is the key.  So we always try to vote for more than one candidate/option, and either select more than one individual – a boss plus a deputy, say – or choose a composite policy of the two leading options.

To find China’s most popular film stars, maybe four of them, 18 students were given a short list of the 10 top actors. They were asked to cast their preferences on their smart phones – the programme is on  www.debordavote.org  – a 1 for a 1^st preference, a 2 for a 2^nd, a 3 for a 3^rd, and so on.

In the count, the lowest preference cast gets 1 point; the one but last gets 2; the two but last gets 3, etc.  So if a voter casts a full ballot, his 1^st preference gets 10 points, his 2^nd gets 9… but if another casts only six preferences, her 1^st preference gets just 6 points, her 2^nd 5, her 3^rd 4, and so on.

Points per a full ballot                        =          10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1           =            55

No of voters                                                                                                                =            18

Total number of points that could be cast                              =          18 x 55            =          990

Maximum score for any one actor (in full ballots)                 =          18 x 10            =          180

Minimum score for any one actor (in full ballots)                  =          18  x 1             =            18

Some people cast only partial ballots, and the total number of points cast               =          815.

The filmstars 影星		Preferences											Points
		1st	2nd	3rd	4th	5th	6th	7th		8th	9th	10th
成 龙	Chéng Lóng	8	1	1	4	-	-	2		1	-	1	114
邓 超	Dèng Chāo	1	3	1	-	3	2	-		-	3	2	75
范 冰 冰	Fàn Bīng Bīng	-	1	3	-	2	-	-		2	1	6	53
巩 俐	Gõng Lì	1	1	1	3	1	1	4		1	1	1	75
李 宇 春	Liú Dé Huá	2	2	2	5	2	2	1		-	1	-	100
李 宇 春	Li Yū Chún	-	2	1	-	-	2	2		1	4	2	57
徐 静 蕾	Xú Jìng Léi	-	1	4	-	2	4	-		3	1	1	74
徐 铮	Xú Zhēng	2	4	1	1	1	1	1		2	1	-	94
张 国 立	Zhāng Guó Lì	2	1	2	2	3	1	3		2	1	-	85
张 蔓 玉	Zhāng Màn Yù	2	2	2	3	1	1	1		2	1	1	88
									Total points cast:				815

The second table lists the film stars in their order of popularity.  The winner is成龙.  The next four are fairly close together; then there’s a gap before three actors all on 75 or 74 points; and lastly come the two least popular actors.  But given this gap, it’s probably wiser to say that, for these 18 students, “The most popular actors are the top five: 成龙，李宇春，徐铮，张蔓玉 和 张国立.” 

The filmstars 影星		Points	Place	The filmstars 影星		Points	Place
成 龙	Chéng Lóng	114	1st	邓 超	Dèng Chāo	75	= 6th
李 宇 春	Liú Dé Huá	100	2nd	巩 俐	Gõng Lì	75	= 6th
徐 铮	Xú Zhēng	94	3rd	徐 静 蕾	Xú Jìng Léi	74	8th
张 蔓 玉	Zhāng Màn Yù	88	4th	李 宇 春	Li Yū Chún	57	9th
张 国 立	Zhāng Guó Lì	85	5th	范 冰 冰	Fàn Bīng Bīng	53	10th

And the second demo was in Xuzhou.

In Xuzhou, thrre were only eight participants, but they all submirtted full ballots.  And if a voter casts a full ballot, his 1^st preference gets 10 points, his 2^nd gets 9… but if another casts only three preferences, her 1^st preference gets just 3 points, her 2^nd 2, and her 3^rd 1 point.

Points per a full ballot                        =          10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1           =            55

No of voters                                                                                                                =              8

Total number of points that could be cast                              =                      8 x 55  =          440

Maximum score for any one actor (in full ballots)                 =                      8 x 10  =            80

Minimum score for any one actor (in full ballots)                  =                      8  x 1   =              8.

The voters’ profile shows who got what.  Gõng Lì, for example, got lots of 2^nd preferences, a couple of 5^ths, and just one 10^th preference.  Now a 2^nd preference gets 9 points, a 5^th gets 6, and a 10^th gets 1, so Gõng Lì gets a total of 5 x 9 + 2 x 6 + 1 x 1  =  45 + 12 + 1  =  58. 

The filmstars 影星		Preferences											Points
		1st	2nd	3rd	4th	5th	6th	7th		8th	9th	10th
巩 俐	Gõng Lì	－	5	－	－	2	－	－		－	－	1	58
徐 铮	Xú Zhēng	1	2	1	1	－	1	2		－	－	－	56
李 宇 春	Liú Dé Huá	1	－	2	1	－	2	1		－	1	－	49
章子怡	Zhang Zi Yi	－	1	2	1	1	1	－		1	－	1	47
徐 静 蕾	Xú Jìng Léi	1	－	－	2	2	－	－		2	1	－	44
张 蔓 玉	Zhāng Màn Yù	2	－	1	－	－	1	1		1	－	2	42
张 国 立	Zhāng Guó Lì	1	－	－	－	1	2	2		1	1	－	39
成 龙	Chéng Lóng	2	－	－	1	－	－	1		－	2	2	37
邓 超	Dèng Chāo	-	－	2	－	1	－	1		2	1	1	35
李 宇 春	Li Yū Chún	-	－	－	2	1	1	－		1	2	1	33
									Total points cast:				440

So the most popular got no 1^st preferences at all!  But because she got so many 2^nd preferences, she nevertheless comes out on top.  The other conclusion is that the two top actors, Gõng Lì and Xú Zhēng, are very close; then there’s a gap of 7 points…. and everybody else follows 2 or 3 points behind the next.  So the conclusion of these students is that Gõng Lì and Xú Zhēng are China’s two best actors.

If, however, a plurality vote had been used – (the sort of system which the British use in their elections) – the outcome would have been a draw between Zhāng Màn Yù and Chéng Lóng, two of the least popular film stars!