General Table Auction

	A	B	C	D	E	F	G	O	P	Q	R	S	T	U	AB	AD
1		shares →	1	1	1	1	1	5	← sum of shares
2		options ↓ players →	B	D	F	C	X	Σ	Σ - B	Σ - D	Σ - F	Σ - C	Σ - X	Σ - CAM		(tie-breaking)
3	1	B, D		1			1	2.00	2.00	1.00	2.00	2.00	1.00	2.00	1	0.000072
4	2	B, X					0.5	0.50	0.50	0.50	0.50	0.50	0.00	0.50	2	0.000083
5	3	D, X	0.6	1				1.60	1.00	0.60	1.60	1.60	1.60	1.60	3	0.000073
6	4	B	1				1	2.00	1.00	2.00	2.00	2.00	1.00	2.00	4	0.000097
7	5	D	0.5	1				1.50	1.00	0.50	1.50	1.50	1.50	1.50	5	0.000068
8	6	X	0.5					0.50	0.00	0.50	0.50	0.50	0.50	0.50	6	0.000080
9	7							0.00	0.00	0.00	0.00	0.00	0.00	0.00	7	0.000079
10	8							0.00	0.00	0.00	0.00	0.00	0.00	0.00	8	0.000039
27		range voting multipliers →	1	1	1	1	1		B	D	F	C	X	CAM	(the "you" below refers to each person listed to the left)
28			Winning option					4	1	4	4	4	3	4	Option that would've won w/out you: whether you're pivotal
29		Instructions for 2-phase table auction						2.00	2.00	2.00	2.00	2.00	1.60	2.00	How happy everyone else could've been without you
30		with range voting: (1) Enter your 0-1	Total utility for winning option					2.00	1.00				1.00		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					1.60	1.00	0.00	0.00	0.00	0.60	0.00	Amount you pay into the pot: externality you impose
32		in the range voting multipliers as	PURE VCG, amount burned					-1.60	-1.00	0.00	0.00	0.00	-0.60	0.00	Net payments for PURE VCG
33		sealed bids. This BIDIFY button	↳ Nominal net utility					0.40	0.00	0	0	0	0.40	0	Net utility (utility of winning option net of paymt) for PURE VCG
34		multiplies the bids by the corresponding							1.00	1.00	0.00	0.00	1.00	0.00	How happy you could've been: utility of your favorite option
35		multiplier but that also	Total disappointment qua shares					1.00	0.00	1.00	0.00	0.00	0.00	0.00	Delta of your favorite vs what won: how disappointed you are
36		happens automatically.						1.60	0	1.6	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	-1.00	1.60	0.00	0.00	-0.60	0.00	Net payments for VCG w/ RE-DIS-TRIB
38			↳ Nominal net utility					2.00	0	1.60	0	0	0.40	0	Net utility for VCG w/ RE-DIS-TRIB
39			Total explicit shares					5	1	1	1	1	1		Your shares of the pot
40								1.00	0.32	0.32	0.32	0.32	0.32	0.00	How much of the pot you get with VCG w/ SHARES
41			VCG w/ SHARES					0.00	-0.68	0.32	0.32	0.32	-0.28	0.00	Net payments for VCG w/ SHARES
42			↳ Nominal net utility					2.00	0.32	0.32	0.32	0.32	0.72	0	Net utility for VCG w/ SHARES
43			Total pot with MAXPAY					2.00	1.00				1.00		Amount you pay into the pot: your bid for the winning option
44									0	2	0	0	0	0	How much of the pot you get with MAXPAY w/ RE-DIS-TRIB
45			MAXPAY w/ RE-DIS-TRIB					0	-1.0	2.00	0	0	-1.0	0	Net payments for MAXPAY w/ RE-DIS-TRIB
46			↳ Nominal net utility						0	2.00	0	0	0	0	Net utility for MAXPAY w/ RE-DIS-TRIB
47								2	0.4	0.4	0.4	0.4	0.4	0	How much of the pot you get with MAXPAY w/ SHARES
48			MAXPAY w/ SHARES					0.00	-0.6	0.40	0.40	0.40	-0.6	0	Net payments for MAXPAY w/ SHARES
49			↳ Nominal net utility					2.00	0.40	0.40	0.40	0.40	0.40	0	Net utility for MAXPAY w/ SHARES
50									B	D	F	C	X	CAM
51	iou[2025.12.05, 1.6, 1B+0.6X, FIRE, "PURE VCG: B"]
52	iou[2025.12.05, 1.6, 1B+0.6X, 1D, "VCG w/ RE-DIS-TRIB: B"]
53	iou[2025.12.05, 1.6, 1B+0.6X, 1B+1D+1F+1C+1X, "VCG w/ SHARES: B"]
54	iou[2025.12.05, 2, 1B+1X, 1D, "MAXPAY w/ RE-DIS-TRIB: B"]
55	iou[2025.12.05, 2, 1B+1X, 1B+1D+1F+1C+1X, "MAXPAY w/ SHARES: B"]
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