Appendix

Example of how a Shapley Value is constructed

As denoted by Eq. (2) in the main text, consider the simple game between five world regions (a,b,c,d,e) whose population levels are, respectively, 5, 15, 20, 25, and 35. If ¡5= 0.5, then the Shapley value of this ( 1 7 1 1 9

game is —,—,—,—,— . The following table can be used to highlight V. 30 60 5 5 20y how the Shapley value of this simple game is calculated. In this game, five world regions (a,b,c,d,e) whose population levels are, respectively, 5, 15, 20, 25, and 35, are considered. If ¡3 = 0.5 , a winning coalition, is a coalition whose population level is 50 or more.

Winning coalitions

a

b

c

d

e

b,e

0 0

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