This section was converted directly from the original WordPerect 6.0 file, with no tweaking whatsover.
In the specifications that follow, please note that
010101...01
100 plays
indicates 100 Prisoner's Dilemma competitions, in the first of
which the player defects, in the second of which he cooperates,
and so on. The notation above thus specifies a block of 100
plays. The notation below, in contrast:
01010101010
100 times
indicates that a block of 11 set moves is to be repeated 100
times. It thus specifies a sequence of 1100 plays.
strategy b: Start with 0000. Then:
If opponent started 0000, play 11111111111100000, repeat.
(gives bb = 2.412)
If opponent started 0001, play 010101...01 followed by 011,
100 plays
repeat. (gives br = 2.534)
If opponent started 0010, play 111111111100, repeat. (gives bp = 3.000)
If opponent started 0011, play 1000000000 followed by
10 times
000000, repeat. (gives by = 2.472)
If opponent started 0100, play 01010101...01, followed by
500 plays
11111000001 (gives bf = 2.495)
If opponent started 0101, play 010101...01 followed by 011,
100 plays
repeat. (gives bg = 2.534)
If opponent started 0110, play 1000000000 followed by
20 times
0000000000000, repeat. (gives bw = 2.502)
If opponent started 0111, play 111111111100, repeat. (gives bo = 3.000)
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives bx = 2.472)
If opponent started 1001, play 010101...01 followed by 011,
100 plays
repeat. (gives bz = 2.534)
If opponent started 1010, play 1000000000 followed by
10 times
000000, repeat. (gives bl = 2.472)
If opponent started 1011, play 111111111100, repeat. (gives bs = 3.000)
strategy r: Start with 0001. Then:
If opponent started 0000, play 101010...10 followed by 111,
100 plays
repeat. (gives rb = 2.485)
If opponent started 0001, play 11111111111100000, repeat. (gives rr = 2.412)
If opponent started 0010, play 010101...01 followed by
180 plays
111...111 and 111, repeat. (gives rp = 2.542)
20 plays
If opponent started 0011, play 1000000000 followed by
10 times
000000, repeat. (gives ry = 2.472)
If opponent started 0100, play 11111111111111000000,
31 times
followed by 11111..11, repeat. (gives rf = 2.341)
20 plays
If opponent started 0101, play repeated 0. (gives rg = 1)
If opponent started 0110, play 1000000000 followed by
20 times
00000000001, repeat. (gives rw = 2.526)
If opponent started 0111, play 010101...01 followed by
180 plays
111...111 and 111, repeat. (gives ro = 2.542)
20 plays
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives rx = 2.472)
If opponent started 1001, play 11111111111100000, repeat. (gives rz = 2.412)
If opponent started 1010, play 1000000000 followed by
10 times
000000, repeat. (gives rl = 2.472)
If opponent started 1011, play 010101...01 followed by
180 plays
111...111 and 111, repeat. (gives rs = 2.542)
20 plays
strategy p: Start with 0010. Then:
If opponent started 0000, play 111111111101, repeat. (gives pb = 2.583)
If opponent started 0001, play 101010...10 followed by
180 plays
111...111 and 011, repeat. (gives pr = 2.567)
20 plays
If opponent started 0010, play 11111111111100000, repeat. (gives pp = 2.412)
If opponent started 0011, play 1000000000 followed by
10 times
000000, repeat. (gives py = 2.472)
If opponent started 0100, play 111111...111, followed by
19,854 plays
000...000, followed by 0, repeat. (gives pf = 2.485)
5146 plays
If opponent started 0101, play 101010...10 followed by
180 plays
111...111 and 011, repeat. (gives pg = 2.567)
20 plays
If opponent started 0110, play 1000000000 followed by
20 times
00000000001, repeat. (gives pw = 2.526)
If opponent started 0111, play 11111111111100000, repeat.
(gives po = 2.412)
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives px = 2.472)
If opponent started 1001, play 101010...10 followed by
180 plays
111...111 and 011, repeat. (gives pz = 2.567)
20 plays
If opponent started 1010, play 1000000000 followed by
10 times
000000, repeat. (gives pl = 2.472)
If opponent started 1011, play 11111111111100000, repeat. (gives ps = 2.412)
strategy y: Start with 0011. Then:
If opponent started 0000, play 1111000000 followed by
10 times
111100, repeat. (gives yb = .868)
If opponent started 0001, play 1111000000 followed by
10 times
111100, repeat. (gives yr = .868)
If opponent started 0010, play 1111000000 followed by
10 times
111100, repeat. (gives yp = .868)
If opponent started 0011, play 111...111 followed by
1612 plays
000...000, repeat. (gives yy = 2.612)
388 plays
(For yy = 2.667, as outlined earlier:
If opponent started 011, play 111111111100, repeat.)
If opponent started 0100, play 111...111 followed by
187 plays
000...000 followed by 1010...10, repeat.
213 plays 402 plays
(gives yf = 1.216)
If opponent started 0101, play 1111000000 followed by
10 times
111100, repeat. (gives yg = .868)
If opponent started 0110, play 1000000000 followed by
20 times
000000, repeat. (gives yw = 2.615)
3 times
If opponent started 0111, play 1111...111 followed by
1292 plays
000...000, repeat 1871 times, followed by
708 plays
1010...1010, repeat 629 times, repeat whole.
2000 plays
(gives yo = 1.841)
If opponent started 1000, play 1000000000 followed by
20 times
000000, repeat. (gives yx = 2.615)
3 times
If opponent started 1001, play 1111000000 followed by
10 times
111100, repeat. (gives yz = .868)
If opponent started 1010, play 1000000000 followed by
20 times
000000, repeat. (gives yl = 2.615)
3 times
If opponent started 1011, play 1111000000 followed by
10 times
111100, repeat. (gives ys = .868)
strategy f: Start with 0100. Then:
If opponent started 0000, play 01010101...01, followed by
500 plays
11111000000 (gives fb = 2.485)
If opponent started 0001, play 11111111111111000000,
31 times
followed by 1010...10, repeat. (gives fr = 2.419)
20 plays
If opponent started 0010, play 111111...111, followed by
19,854 plays
010101..01, followed by 0, repeat. (gives fp = 2.99992)
5146 plays
If opponent started 0011, play 111...111 followed by
187 plays
000...000 followed by 0000...00, repeat.
213 plays 402 plays
(gives fy = 2.469)
If opponent started 0100, play 11111111111100000, repeat. (gives ff = 2.412)
If opponent started 0101, play 111...111 followed by
188 plays
000000000000, repeat 2373 times, followed by
0000...00, repeat 127 times, repeat whole.
200 plays
(gives fg = 2.886)
If opponent started 0110, play 1000000000 followed by
12 times
000111, repeat. (gives fw = 2.476)
If opponent started 0111, play 111...1111 followed by
1184 plays
000...000, repeat 55 times, followed by 000...000,
816 plays 200 plays
repeat whole. (gives fo = 2.819)
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives fx = 2.472)
If opponent started 1001, play 101010000010 followed by
90 times
111111111111, repeat. (gives fz = .692)
If opponent started 1010, play 1000000000 followed by
10 times
000000, repeat. (gives fl = 2.472)
If opponent started 1011, play 111111...111, followed by
19,854 plays
010101..01, followed by 0, repeat. (gives fs = 2.99992)
5146 plays
strategy g: Start with 0101. Then:
If opponent started 0000, play 101010...10 followed by 111,
100 plays
repeat. (gives gb = 2.485)
If opponent started 0001, play repeated 0. (gives gr = 1)
If opponent started 0010, play 010101...01 followed by
180 plays
111...111 and 111, repeat. (gives gp = 2.542)
20 plays
If opponent started 0011, play 1000000000 followed by
10 times
000000, repeat. (gives gy = 2.472)
If opponent started 0100, play 111...111 followed by
188 plays
000000000000, repeat 2373 times, followed by
0101...01, repeat 127 times, repeat whole.
200 plays
(gives gf = 2.759)
If opponent started 0101, play 11111111111100000,
repeat. (gives gg = 2.412)
If opponent started 0110, play 1000000000 followed by
10 times
000000, repeat. (gives gw = 2.472)
If opponent started 0111, * (any strategy will do. Gives go)
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives gx = 2.472)
If opponent started 1001, play 111...1111 followed by
6996 plays
000...0000, repeat 521 times, followed by
13004 plays
101010...10, repeat 729 times, repeat whole.
20000 plays
(gives gz = .9999)
If opponent started 1010, play 1000000000 followed by
10 times
000000, repeat. (gives gl = 2.472)
If opponent started 1011, play 010101...01 followed by
180 plays
111...111 and 111, repeat. (gives gs = 2.542)
20 plays
strategy w: start with 0110. Then:
If opponent started 0000, play 1111000000 followed by
20 times
1111101111100, repeat. (gives wb = .859)
If opponent started 0001, play 1111000000 followed by
20 times
11111111111, repeat. (gives wr = .867)
If opponent started 0010, play 1111000000 followed by
20 times
11111111111, repeat. (gives wp = .867)
If opponent started 0011, play 1111000000 followed by
20 times
111111, repeat. (gives wy = .849)
3 times
If opponent started 0100, play 1111000000 followed by
12 times
111111, repeat. (gives wf = .9285)
If opponent started 0101, play 1111000000 followed by
10 times
111100, repeat. (gives wg = .868)
If opponent started 0110, play 111...1111 followed by
1667 plays
000...000, repeat. (Gives ww = 2.667)
333 plays
If opponent started 0111, play 1111000000 followed by
10 times
111100, repeat. (gives wo = .868)
If opponent started 1000, * (any strategy. Gives wx)
If opponent started 1001, * (any strategy. Gives wz)
If opponent started 1010, * (any strategy. Gives wl)
If opponent started 1011, play 1111000000 followed by
20 times
11111111111, repeat. (gives ws = .867)
strategy o: Start with 0111. Then:
If opponent started 0000, play 111111111101, repeat. (gives ob = 2.583)
If opponent started 0001, play 101010...10 followed by
180 plays
111...111 and 011, repeat. (gives or = 2.567)
20 plays
If opponent started 0010, play 11111111111100000, repeat.
(gives op = 2.412)
If opponent started 0011, play 1111...111 followed by
1292 plays
000...000, repeat 1871 times, followed by
708 plays
0000...0000, repeat 629 times, repeat whole.
2000 plays
(gives oy = 2.470)
If opponent started 0100, play 111...1111 followed by
1184 plays
000...000, repeat 55 times, followed by 111...111,
816 plays 200 plays
repeat whole. (gives of = 2.180)
If opponent started 0101, * (any strategy will do.
Gives og)
If opponent started 0110, play 1000000000 followed by
10 times
000000, repeat. (gives ow = 2.472)
If opponent started 0111, play 11111111111100000, repeat. (gives oo = 2.412)
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives ox = 2.472)
If opponent started 1001, * (any strategy. Gives oz)
If opponent started 1010, play 1000000000 followed by
10 times
000000, repeat. (gives ol = 2.472)
If opponent started 1011, play 11111111111100000, repeat. (gives os = 2.412)
strategy x: Start with 1000. Then:
If opponent started 0000, play 1111000000 followed by
10 times
111100, repeat. (gives xb = .868)
If opponent started 0001, play 1111000000 followed by
10 times
111100, repeat. (gives xr = .868)
If opponent started 0010, play 1111000000 followed by
10 times
111100, repeat. (gives xp = .868)
If opponent started 0011, play 1111000000 followed by
20 times
111111, repeat. (gives xy = .849)
3 times
If opponent started 0100, play 1111000000 followed by
10 times
111100, repeat. (gives xf = .868)
If opponent started 0101, play 1111000000 followed by
10 times
111100, repeat. (gives xg = .868)
If opponent started 0110, * (any strategy. Gives xw)
If opponent started 0111, play 1111000000 followed by
10 times
111100, repeat. (gives xo = .868)
If opponent started 1000, play 111...1111 followed by
1667 plays
000...000, repeat. (Gives xx = 2.667)
333 plays
If opponent started 1001, play 1111000000 followed by
10 times
111100, repeat. (gives xz = .868)
If opponent started 1010, * (any strategy. Gives xl)
If opponent started 1011, play 1111000000 followed by
10 times
111100, repeat. (gives xs = .868)
strategy z: Start with 1001. Then:
If opponent started 0000, play 101010...10 followed by 111,
100 plays
repeat. (gives zb = 2.485)
If opponent started 0001, play 11111111111100000, repeat.
(gives zr = 2.412)
If opponent started 0010, play 010101...01 followed by
180 plays
111...111 and 111, repeat. (gives zp = 2.542)
20 plays
If opponent started 0011, play 1000000000 followed by
10 times
000000, repeat. (gives zy = 2.472)
If opponent started 0100, play 000000000000 followed by
90 times
111111111111, repeat. (gives zf = 2.340)
If opponent started 0101, play 111...1111 followed by
6996 plays
000...0000, repeat 521 times, followed by
13004 plays
000000...00, repeat 729 times, repeat whole.
20000 plays
(gives zg = 2.458)
If opponent started 0110, * (any strategy. Gives zw)
If opponent started 0111, * (any strategy. Gives zo)
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives zx = 2.472)
If opponent started 1001, play 11111111111100000, repeat. (gives zz = 2.412)
If opponent started 1010, play 1000000000 followed by
10 times
000000, repeat. (gives zl = 2.472)
If opponent started 1011, play 010101...01 followed by
180 plays
111...111 and 111, repeat. (gives zs = 2.542)
20 plays
strategy l: Start with 1010. Then:
If opponent started 0000, play 1111000000 followed by
10 times
111100, repeat. (gives lb = .868)
If opponent started 0001, play 1111000000 followed by
10 times
111100, repeat. (gives lr = .868)
If opponent started 0010, play 1111000000 followed by
10 times
111100, repeat. (gives lp = .868)
If opponent started 0011, play 1111000000 followed by
20 times
111111, repeat. (gives ly = .849)
3 times
If opponent started 0100, play 1111000000 followed by
10 times
111100, repeat. (gives lf = .868)
If opponent started 0101, play 1111000000 followed by
10 times
111100, repeat. (gives lg = .868)
If opponent started 0110, * (any strategy. Gives lw)
If opponent started 0111, play 1111000000 followed by
10 times
111100, repeat. (gives lo = .868)
If opponent started 1000, * (any strategy. Gives lx)
If opponent started 1001, play 1111000000 followed by
10 times
111100, repeat. (gives lz = .868)
If opponent started 1010, play 111...1111 followed by
1667 plays
000...000, repeat. (Gives ll = 2.667)
333 plays
If opponent started 1011, play 1000, repeat. (gives ls = 0.75)
strategy s: Start with 1011. Then:
If opponent started 0000, play 111111111101, repeat. (gives sb = 2.583)
If opponent started 0001, play 101010...10 followed by
180 plays
111...111 and 011, repeat. (gives sr = 2.567)
20 plays
If opponent started 0010, play 11111111111100000, repeat. (gives sp = 2.412)
If opponent started 0011, play 1000000000 followed by
10 times
000000, repeat. (gives sy = 2.472)
If opponent started 0100, play 111111...111, followed by
19,854 plays
000...000, followed by 0, repeat. (gives sf = 2.485)
5146 plays
If opponent started 0101, play 101010...10 followed by
180 plays
111...111 and 011, repeat. (gives sg = 2.567)
20 plays
If opponent started 0110, play 1000000000 followed by
20 times
00000000001, repeat. (gives sw = 2.526)
If opponent started 0111, play 11111111111100000, repeat. (gives so = 2.412)
If opponent started 1000, play 1000000000 followed by
10 times
000000, repeat. (gives sx = 2.472)
If opponent started 1001, play 101010...10 followed by
180 plays
111...111 and 011, repeat. (gives sz = 2.567)
20 plays
If opponent started 1010, play 0000, repeat. (gives sl = 2.000)
If opponent started 1011, play 11111111111100000, repeat. (gives ss = 2.412)