| 1 |
This is a consequence of energy being distributed among the mexes with E=||evector||_1=sum_(i=1)^n(e_i). Another possibility would be giving every mex in the grid the whole OD energy E=e_i forall i in |N intersection [1, n]. Or general s-norm distributions like E=||evector||_s=(sum_(i=1)^n((e_i)^s))^(1/s) with s>1 to make concentrations of energy to single mexes less effective.
|
1 |
This is a consequence of energy being distributed among the mexes with E=||evector||_1=sum_(i=1)^n(e_i). Another possibility would be giving every mex in the grid the whole OD energy E=e_i forall i in |N intersection [1, n]. Or general s-norm distributions like E=||evector||_s=(sum_(i=1)^n((e_i)^s))^(1/s) with s>1 to make concentrations of energy to single mexes less effective.
|
| 3 |
gamma
must
be
a
concave
function
so
that
OD
becomes
less
efficient
(
for
example
gamma(
e_i)
=sqrt(
1+e_i/4)
)
.
This
is
to
prevent
the
possibility
of
exponential
economic
growth
without
map
control
expansion.
However
it
does
not
prevent
convex
economic
growth,
it
only
limits
it
from
exp
to
exp(
gamma)
.
gamma
would
have
to
be
of
logarithmic
or
lower
order
to
prevent
convex
eco
growth
totally.
This
must
also
be
considered
in
the
current
ROI
discussion.
A
player
can
grow
with
exp(
gamma)
in
communism
and
and
ROI
alike.
Communism
only
adds
a
constant
coefficient
1/N,
where
N
is
the
number
of
players
in
his
team.
|
3 |
gamma
must
be
a
concave
function
so
that
OD
becomes
less
efficient
(
for
example
gamma(
e_i)
=sqrt(
1+e_i/4)
)
.
This
is
to
prevent
the
possibility
of
exponential
economic
growth
without
map
control
expansion.
However
it
does
not
prevent
convex
economic
growth,
it
only
limits
it
from
exp
to
exp(
gamma)
.
gamma
would
have
to
be
of
logarithmic
or
lower
order
to
prevent
convex
eco
growth
totally.
This
must
also
be
considered
in
the
current
ROI
discussion.
A
player
can
grow
with
exp(
gamma)
in
communism
and
ROI
alike.
Communism
only
adds
a
constant
coefficient
1/N,
where
N
is
the
number
of
players
in
his
team.
|
Overdrive, Underdrive and Quantum Mechanics