- Consider The Three Player Game G With The Payoffs Given In Table 1 Player 1 May Choose Table 1 Payoffs Of G U D L R L 1 (241.11 KiB) Viewed 48 times
Consider the three-player game G with the payoffs given in Table 1. (Player 1 may choose Table 1: Payoffs of G U D L R L R N (2, 1, 2) (2, 1, 2) (0, 0, 0) (0,0,0) E (1,0,1) (1, 0, 1) (2, 1, 2) (2, 1, 2) W (2,1,2) (0, 0, 0) (2, 1, 2) (0, 0, 0) S (1,0, 1) (2, 1, 2) (1,0,1) (2,1,2) each of the rows N, E, W, S, Player 2 each of the columns L, R, and Player 3 each of the two matrices U, D.) Let (p, q, r, s), (y, 1-y), and (z, 1–z) be typical mixed strategies of Player 1, Player 2, and Player 3, respectively. Show that there is a continuum of Nash equilibrium payoffs for Player 2.