Problem Set 1b

Problem Set 1b -...

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Unformatted text preview: Problem
set
1b.
Sinervo
and
Musacchio,
Game
Theory
Fall
2010
 
 Suppl.
Problem
1.
We
worked
out
the
BI
solution
of
the
kidnap
game
for
a
“nice”
Guy
 in
lecture.
Work
out
the
BI
solution
of
the
kidnap
game
for
the
murderous
Guy.
Are
 they
different.
Why
or
why
not?
 
 Suppl.
Problem
2.
For
the
two
EFGs
being
designed
by
your
group,
construct
a
SFG
 version
of
the
game
(consider
using
information
sets
in
you
EFG
to
get
to
the
SFG).

 
 Suppl.
Problem
3.
For
the
two
EFGs
being
designed
by
your
group,
work
out
the
 backwards
induction
solution
of
the
games.
You
may
have
to
modify
your
game
such
 that
it
is
generic,
and
includes
no
information
sets.

 
 These
group
problems
are
meant
to
help
you
explore
the
dynamics
of
the
games
you
 have
chosen,
and
alternative
formulations
of
the
games.
Therefore,
the
solutions
of
 these
different
parts
do
not
have
to
conform
exactly.
Rather
there
are
specific
 reasons
why
they
should
be
slightly
different
in
the
different
questions.
Think
about
 why
they
should
be
different
(e.g.,
a
sequence
of
moves
in
EFG
versus
a
one‐shot
 SFG
game)
and
whether
this
makes
for
a
more
interesting
game
for
your
group
to
 explore.

 
 NOTE:

 Supply
only
one
copy
of
your
solution
of
group
problems,
with
all
project
members
 names
on
it.

 Supply
individual
copies
of
solutions
for
the
other
problems
drawn
from
Harrington
 (see
set
1a
and
1b)
and
those
Suppl.
Problems
that
are
not
group‐related
(e.g.,
Sea
 Otter,
Right/Left‐jawed
fish,
Kidnap
game,
etc.).
 
 Problem
sets
1a‐b
are
due
on
Tuesday,
next
week.
 ...
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