Hello All:
I am new to the forum. Below is a standard letter from arXiV regarding
endorsement for first time posters. I would appreciate if someone in
the group familiar with the subject matter of the following abstract
would download the paper from te indicated link with a view to
endorsement. Of course, any comments will be welcome as well.
Thanks.
G. Charles-Cadogan
link to download paper:
http://papers.ssrn.com/abstract=2081376
*********************************** Paper's abstract
*******************************************
Representation Theory for Risk On Markowitz-Tversky-Kahneman Topology
--- Abstract ---
We introduce a representation theory for risk operations on locally
compact groups in a partition of unity on a topological manifold for
Markowitz-Tversky-Kahneman (MTK) reference points. We identify (1)
risk torsion induced by the flip rate for risk averse and risk seeking
behaviour, and (2) a structure constant or coupling of that torsion in
the paracompact manifold. The risk torsion operator extends by
continuity to prudence and maxmin expected utility (MEU) operators, as
well as other behavioural operators introduced by the Italian school.
In our erstwhile chaotic dynamical system, induced by behavioural
rotations of probability domains, the loss aversion index is an
unobserved gauge transformation; and reference points are hyperbolic
on the utility hypersurface characterized by the special unitary
group SU(n). We identify conditions for existence of harmonic utility
functions on paracompact MTK manifolds induced by transformation
groups. And we use those mathematical objects to estimate: (1) loss
aversion index from infinitesimal tangent vectors; and (2) value
function from a classic Dirichlet problem for first exit time of
Brownian motion from regular points on the boundary of MTK base
topology.
2000 Mathematics Subject Classification: 54H15, 37CXX
******************************************** arXiV endorsement
requirement letter **********************
www-...@arxiv.org
12:37 AM (9 hours ago)
to me
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