Competition, Income Distribution, and the Middle Class: An Experimental Study

Table 4

Predictions for the contest.

Prize; scheme	Player	Ability	Expected winning; probabilities (%)			Expected; return	Effort	Rank	Prize	Cost	Net; payoff
			1st	2nd	3rd
	1	0.4	56.2	37.5	6.2	10	38	A	33	15	18
1	2	0.6	25.0	50.0	25.0	4	21	B	17	13	4
	3	0.8	6.2	37.5	56.2	1	9	C	0	8	−8
	1	0.4	56.2	37.5	6.2	19	77	A	67	31	36
2	2	0.6	25.0	50.0	25.0	8	42	B	33	25	8
	3	0.8	6.2	37.5	56.2	2	18	C	0	15	−15
	1	0.4	56.2	37.5	6.2	13	20	A	25	8	17
3	2	0.6	25.0	50.0	25.0	10	11	B	17	7	10
	3	0.8	6.2	37.5	56.2	8	5	C	8	4	4
	1	0.4	56.2	37.5	6.2	27	38	A	50	15	35
4	2	0.6	25.0	50.0	25.0	21	21	B	33	12	21
	3	0.8	6.2	37.5	56.2	18	9	C	17	7	10
	1	0.4	56.2	37.5	6.2	12	29	A	36	11	25
5	2	0.6	25.0	50.0	25.0	8	10	B	7	6	1
	3	0.8	6.2	37.5	56.2	7	2	C	7	2	5
	1	0.4	56.2	37.5	6.2	24	57	A	72	23	49
6	2	0.6	25.0	50.0	25.0	16	20	B	14	12	2
	3	0.8	6.2	37.5	56.2	14	4	C	14	3	11
	1	0.4	56.2	37.5	6.2	14	14	A	26	6	20
7	2	0.6	25.0	50.0	25.0	13	5	B	12	3	9
	3	0.8	6.2	37.5	56.2	12	1	C	12	1	11
	1	0.4	56.2	37.5	6.2	29	28	A	52	11	41
8	2	0.6	25.0	50.0	25.0	25	10	B	24	6	18
	3	0.8	6.2	37.5	56.2	24	2	C	24	2	22

Note. Predictions for a 3-player contest with linear cost functions and maximum ability, .