-
consumer preferences need not be convex. In his paper,
Starr proved that a "
convexified"
economy has
general equilibria that are
closely approximated by "quasi-equilbria"...
- the
excess risk of the
original problem using the
excess risk of the
convexified problem.
Minimizing the
latter using convex optimization also
allow to...
-
distance from an "approximate"
economic equilibrium to an
equilibrium of a "
convexified" economy, when the
number of
agents exceeds the
dimension of the goods...
- possible,
which can only
happen when the
input has been
straightened or
convexified.
Streinu &
Whiteley (2005)
provide an
application of this
result to the...
-
Starr studied a
convexified economy, in
which non-convex sets were
replaced by
their convex hulls;
Starr proved that the
convexified economy has equilibria...
-
separable problem, we
consider an
optimal solution (xmin, f(xmin)) to the "
convexified problem",
where convex hulls are
taken of the
graphs of the
summand functions...
- p. 38–40. 15. On the
relationship between the sets of
decisions and
convexified main
tasks in a
problem upravleniya.Bakı, AMEA-nın məruzələri, T.LXV...
-
stimulated a
paper by
Lloyd Shapley and
Martin Shubik,
which considered convexified consumer-preferences and
introduced the
concept of an "approximate equilibrium"...
-
around the
midpoint of its
convex hull edge.
Branko Grünbaum, How to
convexify a polygon, Geombinatorics, 5 (1995), 24–30.
Godfried Toussaint, The Erdős–Nagy...
