If Colin plays A

If Colin plays B

Rose Expected Payoffs

Colin Expected Payoffs

If Rose Plays A

If Rose plays B

Pick NO A and ALL B

Pick ALL A and NO B

AA = 5 (slider from -8 to 8, step 0.5)
AB = -2 (slider from -8 to 8, step 0.5)
BA = 0 (slider from -8 to 8, step 0.5)
BB = 2 (slider from -8 to 8, step 0.5)
A: (0, BB)
B: (1, BA)
a = OrthogonalLine(B, xAxis)
b = Segment(A, B)
C: (0, AB)
D_1: (1, AA)
E: (0, AB)
d = Segment(E, D_1)
D = Point(xAxis)
f = OrthogonalLine(D, xAxis)
F = Intersect(f, d)
text7: "EV= (" + (x(D)) + ")*(" + BA + ") + (" + (1 - x(D)) + ")*(" + BB + ")"
text2: "= " + (x(D) * AA + (1 - x(D)) * AB) + ""
text8: "= " + (x(D) * BA + (1 - x(D)) * BB) + ""
Colin: "Rose wants High Values
  Pr(A) =" + (x(D)) + "        
  Pr(B) = " + (1 - x(D)) + ""
G = Intersect(f, b)
H = Point(xAxis)
I = (-1.365, 5.10625)
J = (-0.13375, 5.10625)
K = (-0.13062499999999946, 1.325)
L = (-1.3681249999999991, 1.29375)
poly1, i, j, k, l = Polygon(I, J, K, L)
text1: "EV= (" + (x(D)) + ")*(" + AA + ") + (" + (1 - x(D)) + ")*(" + AB + ")
 "
text3: "Colin wants Low Values

Pr(A)= " * x(H) + "        Pr(B) = " + (1 - x(H))
M: (0, BA)
O: (1, AB)
text12: "EV= (" + (x(H)) + ")*(" + AA + ") + (" + (1 - x(H)) + ")*(" + BA + ")"
text13: "EV= (" + (x(H)) + ")*(" + AB + ") + (" + (1 - x(H)) + ")*(" + BB + ")"
text14: "= " + (x(H) * AA + (1 - x(H)) * BA)
c = Segment(M, D_1)
text15: "= " + (x(H) * AB + (1 - x(H)) * BB)
e = Segment(A, O)
N = (-1.318124999999999, -1.6125)
P = (-0.16812499999999947, -1.6125)
Q = (-0.16812499999999947, -5.14375)
R = (-1.3243749999999992, -5.14375)
poly2, n, p, q, r = Polygon(N, P, Q, R)
g = OrthogonalLine(H, xAxis)
S = Intersect(g, e)
T = Intersect(g, c)
U = (-1.49625, 8.79375)
V = (-0.1775, 8.7625)
W = (-1.0681249999999993, 10.98125)
Z = (-1.065, 5.5125)
C_1 = (-0.1775, 5.5125)
h = Segment(U, V)
m = Segment(V, C_1)
s = Segment(C_1, Z)
c_1 = Segment(W, Z)
A_1 = Point(h)
B_1 = Point(c_1)
E_1 = Point(m)
F_1 = Point(s)
t = Segment(B_1, E_1)
a_1 = Segment(A_1, F_1)