Formalize each of the below, and put mathemtically the aggregation of each other in to one math formula and call it trust. Give examples of each of the below.

1. Array of Goods
2. Two people
3. Weight of each good
4. Doxa: the score of each good in a concrete choice
5. Commitment: Their capacity to realize a choice
6. Communication to update each other Doxas
7. Information that they have over the other
8. Probability distribution of future choices
9. Importance of choice
10. The ability through communication to improve their commitment realization
11. Ability to improve each other doxas to their own values
12. Each other estimates of all each other things i mentioned above
13. Integral of future choices weighted by importance of choice, allignment of choice, each confidence on the other's ability to carry a choice