General Table Auction

	A	B	C	D	E	F	G	H	O	P	Q	R	S	T	U	AB	AD
1		shares →	1	3	3				7	← sum of shares
2		options ↓ players →	DAN	BEE	CAN	FAI	CHR		Σ	Σ - DAN	Σ - BEE	Σ - CAN	Σ - FAI	Σ - CHR	Σ -		(tie-breaking)
3	1	dad: all 3 go	10	0	0				10.00	0.00	10.00	10.00	10.00	10.00	10.00	1	0.000040
4	2	mom: dad&cantor go	7	10	0				17.00	10.00	7.00	17.00	17.00	17.00	17.00	2	0.000054
5	3	cantor: no one go	0	10	10				20.00	20.00	10.00	10.00	20.00	20.00	20.00	3	0.000064
6	4								0.00	0.00	0.00	0.00	0.00	0.00	0.00	4	0.000095
7	5								0.00	0.00	0.00	0.00	0.00	0.00	0.00	5	0.000058
8	6								0.00	0.00	0.00	0.00	0.00	0.00	0.00	6	0.000041
9	7								0.00	0.00	0.00	0.00	0.00	0.00	0.00	7	0.000097
10	8								0.00	0.00	0.00	0.00	0.00	0.00	0.00	8	0.000029
27		range voting multipliers →	1	1	1	1	1	1		DAN	BEE	CAN	FAI	CHR		(the "you" below refers to each person listed to the left)
28			Winning option						3	3	3	2	3	3	3	Option that would've won w/out you: whether you're pivotal
29		Instructions for 2-phase table auction							20.00	20.00	10.00	17.00	20.00	20.00	20.00	How happy everyone else could've been without you
30		with range voting: (1) Enter your 0-1	Total utility for winning option						20.00	0	10.00	10.00				Your utility for the winning option: what you bid on what won
31		ratings in place of bids, publicly. (2) Fill	Total Clarke tax paid into pot						7.00	0.00	0.00	7.00	0.00	0.00	0.00	Amount you pay into the pot: externality you impose
32		in the range voting multipliers as	PURE VCG, amount burned						-7.00	0.00	0.00	-7.00	0.00	0.00	0.00	Net payments for PURE VCG
33		sealed bids. This BIDIFY button	↳ Nominal net utility						13.00	0	10.00	3.00	0	0	0	Net utility (utility of winning option net of paymt) for PURE VCG
34		multiplies the bids by the corresponding								10.00	10.00	10.00	0.00	0.00	0.00	How happy you could've been: utility of your favorite option
35		multiplier but that also	Total disappointment qua shares						10.00	10.00	0.00	0.00	0.00	0.00	0.00	Delta of your favorite vs what won: how disappointed you are
36		happens automatically.							7.00	7	0	0	0	0	0	How much of the pot you get with VCG w/ RE-DIS-TRIB
37			VCG w/ RE-DIS-TRIB						0.00	7.00	0.00	-7.00	0.00	0.00	0.00	Net payments for VCG w/ RE-DIS-TRIB
38			↳ Nominal net utility						20.00	7.00	10.00	3.00	0	0	0	Net utility for VCG w/ RE-DIS-TRIB
39			Total explicit shares						7	1	3	3				Your shares of the pot
40									10.00	1.00	3.00	3.00	0.00	0.00	0.00	How much of the pot you get with VCG w/ SHARES
41			VCG w/ SHARES						0.00	1.00	3.00	-4.00	0.00	0.00	0.00	Net payments for VCG w/ SHARES
42			↳ Nominal net utility						20.00	1.00	13.00	6.00	0	0	0	Net utility for VCG w/ SHARES
43			Total pot with MAXPAY						20.00	0	10.00	10.00				Amount you pay into the pot: your bid for the winning option
44										20	0	0	0	0	0	How much of the pot you get with MAXPAY w/ RE-DIS-TRIB
45			MAXPAY w/ RE-DIS-TRIB						0	20.00	-10.0	-10.0	0	0	0	Net payments for MAXPAY w/ RE-DIS-TRIB
46			↳ Nominal net utility							20.00	0	0	0	0	0	Net utility for MAXPAY w/ RE-DIS-TRIB
47									20	2.86	8.57	8.57	0	0	0	How much of the pot you get with MAXPAY w/ SHARES
48			MAXPAY w/ SHARES						0.00	2.86	-1.4	-1.4	0	0	0	Net payments for MAXPAY w/ SHARES
49			↳ Nominal net utility						20.00	2.86	8.57	8.57	0	0	0	Net utility for MAXPAY w/ SHARES
50										DAN	BEE	CAN	FAI	CHR
51	iou[2024.09.05, 7, 7CAN, FIRE, "PURE VCG: cantor: no one go"]
52	iou[2024.09.05, 7, 7CAN, 10DAN, "VCG w/ RE-DIS-TRIB: cantor: no one go"]
53	iou[2024.09.05, 7, 7CAN, 1DAN+3BEE+3CAN, "VCG w/ SHARES: cantor: no one go"]
54	iou[2024.09.05, 20, 10BEE+10CAN, 10DAN, "MAXPAY w/ RE-DIS-TRIB: cantor: no one go"]
55	iou[2024.09.05, 20, 10BEE+10CAN, 1DAN+3BEE+3CAN, "MAXPAY w/ SHARES: cantor: no one go"]
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