The East and the West are about to implement a joint economic program. Each region must decide what the size of their contribution to the program will be. The East must choose one of the following contribution sizes: r3 = 3, r1; = 2, or n; = 1. The West must choose one of the following contribution sizes: rw = 2, r\". = 1, or rw = 0. After spending some months doing research about the potential economic consequences of the program, you've arrived at these 6 conclusions regarding the spillovers [payoffs] each region may obtain: - If East picks r5 = 3, then the East's payo will be calculated as: 'rw, where rw is whatever contribution size the West chooses. - If East picks r5 = 2, then the East's payoff will be calculated as: 2 rw, where r\". is whatever contribution size the West chooses. II If East picks TE = 1, then the East's payoff will be calculated as: (rw 1):, where rw is whatever contribution size the West chooses. a If West picks rw = 2, then the West's payoff will be calculated as: I}; + 1, where rE is whatever contribution size the East chooses. a If West picks rw = 1, then the West's payoff will be caICulated as: 2 - (r5 1), where r5 is whatever contribution size the East chooses. - If West picks ti: = I}, then the West's payoff will be calculated as::; . (1'92, where n; is whatever contribution size the East chooses. TASIGIQUESTIDNS 1.1 Write the strategic formfpayo' matrix of the Game that represents this decision problem. 1.2 Write, in \"3339\