HO26_PS4_Solutions_Dominance

HO26_PS4_Solutions_Dominance - Gamma In Use: 0.1 0.2 0.3...

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Unformatted text preview: Gamma In Use: 0.1 0.2 0.3 0.3 0.1 EV: 0.1 0.5 0.3 0.1 $11.5 $8.0 $4.0 $3.0 $1.0 CE: $17.0 $9.0 $1.0 -$6.0 EV $5.9 CE $5.7 EV $5.0 CE $4.9 0.01 0.02 0.01 0.01 0 0.05 0.02 0.04 0 -0.01 0 0.06 0.01 Examples: 0.1 0.2 0.3 0.3 0.1 0.1 0.5 0.3 0.1 $11.5 $8.0 $4.0 $3.0 $1.0 $17.0 $9.0 $1.0 -$6.0 1) Deal A 2) 0.1 0.3 0.6 $12.0 $8.5 $4.0 Deal B 3) 1 $6.0 4) 1st Order None PMF's Deal A 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 CDF's Deal A 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (CDF's) CDFA - CDFB 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2nd Order None (CDF's) CDFA - CDFB 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -$20.0 -$19.9 -$19.8 -$19.7 -$19.6 -$19.5 -$19.4 -$19.3 -$19.2 -$19.1 -$19.0 -$18.9 -$18.8 -$18.7 -$18.6 -$18.5 -$18.4 -$18.3 -$18.2 -$18.1 -$18.0 -$17.9 -$17.8 -$17.7 -$17.6 -$17.5 -$17.4 -$17.3 -$17.2 -$17.1 -$17.0 -$16.9 -$16.8 -$16.7 -$16.6 -$16.5 -$16.4 -$16.3 -$16.2 -$16.1 -$16.0 -$15.9 -$15.8 -$15.7 -$15.6 -$15.5 -$15.4 Deal B 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Deal B 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -$15.3 -$15.2 -$15.1 -$15.0 -$14.9 -$14.8 -$14.7 -$14.6 -$14.5 -$14.4 -$14.3 -$14.2 -$14.1 -$14.0 -$13.9 -$13.8 -$13.7 -$13.6 -$13.5 -$13.4 -$13.3 -$13.2 -$13.1 -$13.0 -$12.9 -$12.8 -$12.7 -$12.6 -$12.5 -$12.4 -$12.3 -$12.2 -$12.1 -$12.0 -$11.9 -$11.8 -$11.7 -$11.6 -$11.5 -$11.4 -$11.3 -$11.2 -$11.1 -$11.0 -$10.9 -$10.8 -$10.7 -$10.6 -$10.5 -$10.4 -$10.3 -$10.2 -$10.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -$10.0 -$9.9 -$9.8 -$9.7 -$9.6 -$9.5 -$9.4 -$9.3 -$9.2 -$9.1 -$9.0 -$8.9 -$8.8 -$8.7 -$8.6 -$8.5 -$8.4 -$8.3 -$8.2 -$8.1 -$8.0 -$7.9 -$7.8 -$7.7 -$7.6 -$7.5 -$7.4 -$7.3 -$7.2 -$7.1 -$7.0 -$6.9 -$6.8 -$6.7 -$6.6 -$6.5 -$6.4 -$6.3 -$6.2 -$6.1 -$6.0 -$5.9 -$5.8 -$5.7 -$5.6 -$5.5 -$5.4 -$5.3 -$5.2 -$5.1 -$5.0 -$4.9 -$4.8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 -1.1 -1.2 -1.3 -$4.7 -$4.6 -$4.5 -$4.4 -$4.3 -$4.2 -$4.1 -$4.0 -$3.9 -$3.8 -$3.7 -$3.6 -$3.5 -$3.4 -$3.3 -$3.2 -$3.1 -$3.0 -$2.9 -$2.8 -$2.7 -$2.6 -$2.5 -$2.4 -$2.3 -$2.2 -$2.1 -$2.0 -$1.9 -$1.8 -$1.7 -$1.6 -$1.5 -$1.4 -$1.3 -$1.2 -$1.1 -$1.0 -$0.9 -$0.8 -$0.7 -$0.6 -$0.5 -$0.4 -$0.3 -$0.2 -$0.1 $0.0 $0.1 $0.2 $0.3 $0.4 $0.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -1.4 -1.5 -1.6 -1.7 -1.8 -1.9 -2 -2.1 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 -2.8 -2.9 -3 -3.1 -3.2 -3.3 -3.4 -3.5 -3.6 -3.7 -3.8 -3.9 -4 -4.1 -4.2 -4.3 -4.4 -4.5 -4.6 -4.7 -4.8 -4.9 -5 -5.1 -5.2 -5.3 -5.4 -5.5 -5.6 -5.7 -5.8 -5.9 -6 -6.1 -6.2 -6.3 -6.4 -6.5 -6.6 $0.6 $0.7 $0.8 $0.9 $1.0 $1.1 $1.2 $1.3 $1.4 $1.5 $1.6 $1.7 $1.8 $1.9 $2.0 $2.1 $2.2 $2.3 $2.4 $2.5 $2.6 $2.7 $2.8 $2.9 $3.0 $3.1 $3.2 $3.3 $3.4 $3.5 $3.6 $3.7 $3.8 $3.9 $4.0 $4.1 $4.2 $4.3 $4.4 $4.5 $4.6 $4.7 $4.8 $4.9 $5.0 $5.1 $5.2 $5.3 $5.4 $5.5 $5.6 $5.7 $5.8 0 0 0 0 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.3 0 0 0 0 0 0 0 0 0 0.3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.1 0.1 0.1 0.1 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 -0.1 -0.1 -0.1 -0.1 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 0 0 0 0 0 0 0 0 0 0 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 -6.7 -6.8 -6.9 -7 -7.3 -7.6 -7.9 -8.2 -8.5 -8.8 -9.1 -9.4 -9.7 -10 -10.3 -10.6 -10.9 -11.2 -11.5 -11.8 -12.1 -12.4 -12.7 -13 -13 -13 -13 -13 -13 -13 -13 -13 -13 -13 -12.7 -12.4 -12.1 -11.8 -11.5 -11.2 -10.9 -10.6 -10.3 -10 -9.7 -9.4 -9.1 -8.8 -8.5 -8.2 -7.9 -7.6 -7.3 $5.9 $6.0 $6.1 $6.2 $6.3 $6.4 $6.5 $6.6 $6.7 $6.8 $6.9 $7.0 $7.1 $7.2 $7.3 $7.4 $7.5 $7.6 $7.7 $7.8 $7.9 $8.0 $8.1 $8.2 $8.3 $8.4 $8.5 $8.6 $8.7 $8.8 $8.9 $9.0 $9.1 $9.2 $9.3 $9.4 $9.5 $9.6 $9.7 $9.8 $9.9 $10.0 $10.1 $10.2 $10.3 $10.4 $10.5 $10.6 $10.7 $10.8 $10.9 $11.0 $11.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 -6.7 -6.4 -6.1 -5.8 -5.5 -5.2 -4.9 -4.6 -4.3 -4 -3.7 -3.4 -3.1 -2.8 -2.5 -2.2 -1.9 -1.6 -1.3 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 $11.2 $11.3 $11.4 $11.5 $11.6 $11.7 $11.8 $11.9 $12.0 $12.1 $12.2 $12.3 $12.4 $12.5 $12.6 $12.7 $12.8 $12.9 $13.0 $13.1 $13.2 $13.3 $13.4 $13.5 $13.6 $13.7 $13.8 $13.9 $14.0 $14.1 $14.2 $14.3 $14.4 $14.5 $14.6 $14.7 $14.8 $14.9 $15.0 $15.1 $15.2 $15.3 $15.4 $15.5 $15.6 $15.7 $15.8 $15.9 $16.0 $16.1 $16.2 $16.3 $16.4 0 0 0 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.9 0.9 0.9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0 0 0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 4 4 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9 $16.5 $16.6 $16.7 $16.8 $16.9 $17.0 $17.1 $17.2 $17.3 $17.4 $17.5 $17.6 $17.7 $17.8 $17.9 $18.0 $18.1 $18.2 $18.3 $18.4 $18.5 $18.6 $18.7 $18.8 $18.9 $19.0 $19.1 $19.2 $19.3 $19.4 $19.5 $19.6 $19.7 $19.8 $19.9 $20.0 $20.1 $20.2 $20.3 $20.4 $20.5 $20.6 $20.7 $20.8 $20.9 $21.0 $21.1 $21.2 $21.3 $21.4 $21.5 $21.6 $21.7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0.9 0.9 0.9 0.9 0.9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0.1 0.1 0.1 0.1 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.1 9.2 9.3 9.4 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 $21.8 $21.9 $22.0 $22.1 $22.2 $22.3 $22.4 $22.5 $22.6 $22.7 $22.8 $22.9 $23.0 $23.1 $23.2 $23.3 $23.4 $23.5 $23.6 $23.7 $23.8 $23.9 $24.0 $24.1 $24.2 $24.3 $24.4 $24.5 $24.6 $24.7 $24.8 $24.9 $25.0 $25.1 $25.2 $25.3 $25.4 $25.5 $25.6 $25.7 $25.8 $25.9 $26.0 $26.1 $26.2 $26.3 $26.4 $26.5 $26.6 $26.7 $26.8 $26.9 $27.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 $27.1 $27.2 $27.3 $27.4 $27.5 $27.6 $27.7 $27.8 $27.9 $28.0 $28.1 $28.2 $28.3 $28.4 $28.5 $28.6 $28.7 $28.8 $28.9 $29.0 $29.1 $29.2 $29.3 $29.4 $29.5 $29.6 $29.7 $29.8 $29.9 $30.0 $30.1 $30.2 $30.3 $30.4 $30.5 $30.6 $30.7 $30.8 $30.9 $31.0 $31.1 $31.2 $31.3 $31.4 $31.5 $31.6 $31.7 $31.8 $31.9 $32.0 $32.1 $32.2 $32.3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 $32.4 $32.5 $32.6 $32.7 $32.8 $32.9 $33.0 $33.1 $33.2 $33.3 $33.4 $33.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 9.5 3rd Order None (CDF's) CDFA - CDFB 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Simplified PMF's Deal A 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0 0 0 0.3 -$20.0 -$19.5 -$19.0 -$18.5 -$18.0 -$17.5 -$17.0 -$16.5 -$16.0 -$15.5 -$15.0 -$14.5 -$14.0 -$13.5 -$13.0 -$12.5 -$12.0 -$11.5 -$11.0 -$10.5 -$10.0 -$9.5 -$9.0 -$8.5 -$8.0 -$7.5 -$7.0 -$6.5 -$6.0 -$5.5 -$5.0 -$4.5 -$4.0 -$3.5 -$3.0 -$2.5 -$2.0 -$1.5 -$1.0 -$0.5 $0.0 $0.5 $1.0 $1.5 $2.0 $2.5 $3.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 $3.5 $4.0 $4.5 $5.0 $5.5 $6.0 $6.5 $7.0 $7.5 $8.0 $8.5 $9.0 $9.5 $10.0 $10.5 $11.0 $11.5 $12.0 $12.5 $13.0 $13.5 $14.0 $14.5 $15.0 $15.5 $16.0 $16.5 $17.0 $17.5 $18.0 $18.5 $19.0 $19.5 $20.0 0 0.3 0 0 0 0 0 0 0 0.2 0 0 0 0 0 0 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.1 -0.3 -0.6 -1 -1.5 -2.1 -2.8 -3.6 -4.5 -5.5 -6.6 -7.8 -9.1 -10.5 -12 -13.6 -15.3 -17.1 -19 -21 -23.1 -25.3 -27.6 -30 -32.5 -35.1 -37.8 -40.6 -43.5 -46.5 -49.6 -52.8 -56.1 -59.5 -63 -66.6 -70.3 -74.1 -78 -82 -86.1 -90.3 -94.6 -99 -103.5 -108.1 -112.8 -117.6 -122.5 -127.5 -132.6 -137.8 -143.1 -148.5 -154 -159.6 -165.3 -171.1 -177 -183 -189.1 -195.3 -201.6 -208 -214.5 -221.1 -227.8 -234.6 -241.5 -248.5 -255.8 -263.4 -271.3 -279.5 -288 -296.8 -305.9 -315.3 -325 -335 -345.3 -355.9 -366.8 -378 -389.5 -401.3 -413.4 -425.8 -438.5 -451.5 -464.5 -477.5 -490.5 -503.5 -516.5 -529.5 -542.5 -555.5 -568.5 -581.5 -594.2 -606.6 -618.7 -630.5 -642 -653.2 -664.1 -674.7 -685 -695 -704.7 -714.1 -723.2 -732 -740.5 -748.7 -756.6 -764.2 -771.5 -778.5 -785.2 -791.6 -797.7 -803.5 -809 -814.2 -819.1 -823.7 -828 -832 -835.7 -839.1 -842.2 -845 -847.5 -849.7 -851.6 -853.2 -854.5 -855.5 -856 -856 -855.5 -854.5 -853 -851 -848.5 -845.5 -842 -838 -834 -830 -826 -822 -818 -814 -810 -806 -802 -798 -794 -790 -786 -782 -778 -774 -770 -766 -762 -758 -754 -750 -746 -742 -738 -733.9 -729.7 -725.4 -721 -716.5 -711.9 -707.2 -702.4 -697.5 -692.5 -687.4 -682.2 -676.9 -671.5 -666 -660.4 -654.7 -648.9 -643 -637 -630.9 -624.7 -618.4 -612 -605.5 -598.9 -592.2 -585.4 -578.5 -571.5 -564.4 -557.2 -549.9 -542.5 -535 -527.4 -519.7 -511.9 -504 -496 -487.9 -479.7 -471.4 -463 -454.5 -445.9 -437.2 -428.4 -419.5 -410.5 -401.4 -392.2 -382.9 -373.5 -364 -354.5 -345 -335.5 -326 -316.5 -307 -297.5 -288 -278.5 -269 -259.5 -250 -240.5 -231 -221.5 -212 -202.5 -193 -183.5 -174 -164.5 -155 -145.5 -136 -126.5 -117 -107.5 -98 -88.5 -79 -69.5 -60 -50.5 -41 -31.5 -22 -12.5 -3 6.5 16 25.5 35 44.5 54 63.5 73 82.5 92 101.5 111 120.5 130 139.5 149 158.5 168 177.5 187 196.5 206 215.5 225 234.5 244 253.5 263 272.5 282 291.5 301 310.5 320 329.5 339 348.5 358 367.5 377 386.5 396 405.5 415 424.5 434 443.5 453 462.5 472 481.5 491 500.5 510 519.5 529 538.5 548 557.5 567 576.5 586 595.5 605 614.5 624 633.5 643 652.5 662 671.5 681 690.5 700 709.5 719 728.5 738 747.5 757 766.5 776 785.5 795 804.5 814 823.5 833 842.5 852 861.5 871 880.5 890 899.5 909 918.5 928 937.5 947 956.5 966 975.5 985 994.5 1004 1013.5 1023 1032.5 1042 1051.5 1061 1070.5 1080 1089.5 1099 1108.5 1118 1127.5 1137 1146.5 1156 1165.5 1175 1184.5 1194 1203.5 1213 Simplified PMF's Deal B 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0 0 0 0 0 0 1 0.9 0.8 0.7 0.6 Deal A Deal B 0.5 0.4 0.3 0.2 0.1 0 -$18.5 -$15.5 -$12.5 -$9.5 -$6.5 -$3.5 -$0.5 $2.5 $5.5 $8.5 $11.5 $14.5 $17.5 -$20.0 -$17.0 -$14.0 -$11.0 -$8.0 -$5.0 -$2.0 $1.0 $4.0 $7.0 $10.0 $13.0 $16.0 $19.0 1 0.9 0.8 0.7 0.6 Deal A Deal B 0.5 0.4 0.3 0.2 0.1 0 -$18.5 -$15.7 -$12.9 -$10.1 -$7.3 -$4.5 -$1.7 $1.1 $3.9 $6.7 $9.5 $12.3 $15.1 $17.9 $20.7 $23.5 $26.3 $29.1 $31.9 -$19.9 -$17.1 -$14.3 -$11.5 -$8.7 -$5.9 -$3.1 -$0.3 $2.5 $5.3 $8.1 $10.9 $13.7 $16.5 $19.3 $22.1 $24.9 $27.7 $30.5 $33.3 0.6 0.5 0.4 0.3 0.2 0.1 CDFA - CDFB 0 -0.1 -0.2 -0.3 -0.4 -$18.5 -$15.7 -$12.9 -$10.1 -$7.3 -$4.5 -$1.7 $1.1 $3.9 $6.7 $9.5 $12.3 $15.1 $17.9 $20.7 $23.5 $26.3 $29.1 $31.9 -$19.9 -$17.1 -$14.3 -$11.5 -$8.7 -$5.9 -$3.1 -$0.3 $2.5 $5.3 $8.1 $10.9 $13.7 $16.5 $19.3 $22.1 $24.9 $27.7 $30.5 $33.3 15 10 5 0 CDFA - CDFB -5 -10 -15 -$18.5 -$15.7 -$12.9 -$10.1 -$7.3 -$4.5 -$1.7 $1.1 $3.9 $6.7 $9.5 $12.3 $15.1 $17.9 $20.7 $23.5 $26.3 $29.1 $31.9 -$19.9 -$17.1 -$14.3 -$11.5 -$8.7 -$5.9 -$3.1 -$0.3 $2.5 $5.3 $8.1 $10.9 $13.7 $16.5 $19.3 $22.1 $24.9 $27.7 $30.5 $33.3 1500 1000 500 CDFA - CDFB 0 -500 -1000 -$18.5 -$15.7 -$12.9 -$10.1 -$7.3 -$4.5 -$1.7 $1.1 $3.9 $6.7 $9.5 $12.3 $15.1 $17.9 $20.7 $23.5 $26.3 $29.1 $31.9 -$19.9 -$17.1 -$14.3 -$11.5 -$8.7 -$5.9 -$3.1 -$0.3 $2.5 $5.3 $8.1 $10.9 $13.7 $16.5 $19.3 $22.1 $24.9 $27.7 $30.5 $33.3 Two Results to Remember: If A n B, then A n+1 B Not very useful in practice If A n B and B n C, then A n C Quite useful; helps keep computations reasonable ...
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This note was uploaded on 06/16/2010 for the course MS&E 352 taught by Professor Ronhoward during the Winter '09 term at Stanford.

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