How to code Shapley Values for carbon credit allocation?

I want to apply shapley value to determine fair allocation of carbon credits among stakeholders in wastewater heat recovery systems.
I have 3 players and I assumed that 𝑣(𝑆) is the characteristic function quantifies CO₂ reductions (tCO2/season) achievable by each coalition. Season. Summer;Winter,Autum and Spring
𝛼- coefficent of cooperaiton between the stakholders.
𝑣(𝑆) =
0 if 𝑆∈ ∅,𝑈,𝐷,𝑀,𝑈,𝑀,𝐷,𝑀
𝛼⋅ 𝑉𝑚𝑎𝑥 if 𝑆= 𝑈,𝐷
𝑉𝑚𝑎𝑥 if 𝑆= 𝑈,𝐷,𝑀

[Torsten]

I don't understand your question.

Do you want to compute the Shapley values for the three stakholders ?

Which formula from

https://en.wikipedia.org/wiki/Shapley_value

do you want to code ?

You must specify

v(∅), v({U}), v({D}),v({M}),v({U,D}),v({U,M}),v({D,M}),v({U,D,M})

What are the values for these 2^3 sets of stakholders ?

Here are some set operations you can use:

https://uk.mathworks.com/help/matlab/set-operations.html