Table AII. Profit distribution of...

Table AII.

Profit distribution of participants in the value chain

S	{a}	{a, b}	{a, c}	{a, b, c}
V(S)	$\frac{ζ^{2}}{64 β}$	$\frac{ζ^{2}}{16 β} - c_{f}$	0	$\frac{ζ^{2}}{4 β} - c_{f}$
V(S – {a})	0	$\frac{ζ^{2}}{32 β} - c_{f}$	$\frac{ζ^{2}}{16 β}$	$\frac{ζ^{2}}{8 β} - c_{f}$
V(S)–V(S – {a})	$\frac{ζ^{2}}{64 β}$	$\frac{ζ^{2}}{32 β}$	$- \frac{ζ^{2}}{16 β}$	$\frac{ζ^{2}}{8 β}$
\|S\|	1	2	2	3
W(\|S\|)	1/3	1/6	1/6	1/3

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