9
Pebble Games
•
The game for n rounds: PG
n
k
(A,B)
•
The game forever: PG
1
k
(A,B)
•
Duplicator has a winning strategy for
PG
n
(A,B) if
8
j
·
n, (a
1
!
b
1
, …, a
k
!
b
k
)
is a partial isomorphism; similarly for
PG
1
(A,B)
•
•
Notation:
A
º
1
w
k,n
B
and A
º
1
w
k
B