Skip to content

Commit 697c935

Browse files
committed
Curate other games from Selten 1975.
1 parent a8f8203 commit 697c935

6 files changed

Lines changed: 46 additions & 33 deletions

File tree

catalog/selten1975/fig1.efg

Lines changed: 6 additions & 6 deletions
Original file line numberDiff line numberDiff line change
@@ -1,22 +1,22 @@
11
EFG 2 R "Selten's horse (Selten IJGT 1975, Figure 1)" { "Player 1" "Player 2" "Player 3" }
2-
"This is a three-player game presented in Selten [^Sel75], commonly referred
2+
"This is a three-player game presented in Selten [^Sel1975], commonly referred
33
to as \"Selten's horse\" owing to the layout in which it can be drawn.
44
It is the motivating example for his definition of (trembling-hand)
55
perfect equilibrium, by showing a game that has an equilibrium which
66
is \"unreasonable\", but which is not ruled out by subgame perfection because
77
this game has no proper subgames.
88

9-
[^Sel75]: Selten, Reinhard (1975). A reexamination of the perfectness concept
9+
[^Sel1975]: Selten, Reinhard (1975). A reexamination of the perfectness concept
1010
for equilibrium points in extensive games. International Journal of Game
1111
Theory 4(1): 25-55.
1212
"
1313

14-
p "" 1 1 "(1,1)" { "R" "L" } 0
15-
p "" 2 1 "(2,1)" { "R" "L" } 0
14+
p "" 1 1 "" { "R" "L" } 0
15+
p "" 2 1 "" { "R" "L" } 0
1616
t "" 1 "Outcome 1" { 1, 1, 1 }
17-
p "" 3 1 "(3,1)" { "R" "L" } 0
17+
p "" 3 1 "" { "R" "L" } 0
1818
t "" 2 "Outcome 2" { 4, 4, 0 }
1919
t "" 3 "Outcome 3" { 0, 0, 1 }
20-
p "" 3 1 "(3,1)" { "R" "L" } 0
20+
p "" 3 1 "" { "R" "L" } 0
2121
t "" 4 "Outcome 4" { 3, 2, 2 }
2222
t "" 5 "Outcome 5" { 0, 0, 0 }

catalog/selten1975/fig2.efg

Lines changed: 18 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,18 @@
1+
EFG 2 R "Selten (IJGT 1975) Figure 2" { "Player 1" "Player 2" }
2+
"This is a counterexample presented in [^Sel1975], to show that extensive and
3+
normal form concepts of perfectness do not coincide. This game has one
4+
perfect equilibrium in the extensive from, but a distinct (pure) strategy
5+
equilibrium is also perfect in the normal form.
6+
7+
[^Sel75]: Selten, Reinhard (1975). A reexamination of the perfectness concept
8+
for equilibrium points in extensive games. International Journal of Game
9+
Theory 4(1): 25-55.
10+
"
11+
12+
p "" 1 1 "" { "R" "L" } 0
13+
t "" 1 "Outcome 1" { 1, 1 }
14+
p "" 2 1 "" { "R" "L" } 0
15+
t "" 2 "Outcome 2" { 0, 2 }
16+
p "" 1 2 "" { "r" "l" } 0
17+
t "" 3 "Outcome 3" { 0, 3 }
18+
t "" 4 "Outcome 4" { 2, 0 }

catalog/selten1975/fig3.efg

Lines changed: 22 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,22 @@
1+
EFG 2 R "Selten (IJGT 1975) Figure 3" { "Player 1" "Player 2" "Player 3" }
2+
"This is a counterexample presented in [^Sel1975], to show that extensive and
3+
normal form concepts of perfectness do not coincide. Specifically, there
4+
are two equilibria which are perfect in the normal form but not perfect
5+
in the extensive form.
6+
7+
[^Sel75]: Selten, Reinhard (1975). A reexamination of the perfectness concept
8+
for equilibrium points in extensive games. International Journal of Game
9+
Theory 4(1): 25-55.
10+
"
11+
12+
p "" 1 1 "" { "R" "L" } 0
13+
p "" 3 1 "" { "R" "L" } 0
14+
t "" 1 "Outcome 1" { 3, 0, 3 }
15+
t "" 2 "Outcome 2" { 0, 0, 0 }
16+
p "" 2 1 "" { "R" "L" } 0
17+
p "" 1 2 "" { "R" "L" } 0
18+
p "" 3 1 "" { "R" "L" } 0
19+
t "" 3 "Outcome 3" { 4, 4, 0 }
20+
t "" 4 "Outcome 4" { 0, 0, 5 }
21+
t "" 5 "Outcome 5" { 2, 0, 0 }
22+
t "" 6 "Outcome 6" { 1, 3, 0 }

contrib/games/e02.efg

Lines changed: 0 additions & 10 deletions
This file was deleted.

contrib/games/e02.nfg

Lines changed: 0 additions & 3 deletions
This file was deleted.

contrib/games/e03.efg

Lines changed: 0 additions & 14 deletions
This file was deleted.

0 commit comments

Comments
 (0)