A discussion of finance and economics concepts, principles and ideas which will also include exploring elements for writing and world building in science and fantasy fiction.
Monday, February 15, 2016
LTUE 2016 & persentation
We have just finished up with LTUE 2016. It was a busy 2 days for me. EA (Emily) Younker and I were able to give our presentation; Faith, Followers and Fanatics: The Devine in Fantasy and Science Fiction. I would like to thank those who participated in the presentation. Some asked if they could get a copy of the paper. I will gladly send a copy, just drop me a short line at my email address; bhallredgen@gmail.com . Thanks again for coming to our presentation and watch here over the coming weeks for new posts on economic and financial concepts and thoughts.
Wednesday, October 22, 2014
The Colonial System and Its Impact – Part 3
The discovery of America and
that of a passage to the East Indies ... are the two greatest and most
important events recorded in the history of Mankind. (Wealth
of Nations, Bk IV, chapter 7, paragraph 166)
I have been discussing the impact
of colonization on the home country and on the colonies themselves. In Part 1 of
this series we looked at why nations establish colonies. Colonial expansion
traditionally had three benefits to offer. First, raw land and its vegetable
production. Second, animal production which is different yet linked to the
first benefit. And third, mineral production which in the time of Smith and the
colonization of South America by the Spanish and Portuguese was specifically for
silver and other precious metals. Mother nations kept a tight rein on colonies
to protect their markets and so tended to develop monopolies in trade and
goods.
In Part 2 we looked further at
trade and monopolies particularly as they related to Great Britain and saw the
other costs and expenses associated with colonies. The British people were
bearing a tremendous cost to keep the colonies (America) in line and producing
for the home markets as well as selling finished goods to them from the English
side of the pond. It was costing England a very pretty penny to have a captive
source of raw materials and a captive market for finished goods.
So, if all this colonization was
such a good thing why were so many, especially those ungrateful American
colonies so unhappy? The idea of a fair deal and the ability to make a pound
sterling at a reasonable expenditure of labor and materials was making many
colonists very unhappy as they felt they were not getting what they wanted or
deserved. This is where taxation comes to the forefront. As we saw in Part 2,
Britain needed to be compensated for its costs of providing government including
a stable courts system and for its protection against other nations (standing
army and navy). Additionally, the colonies were expected t0 pay something
towards the total cost of being a great nation since the colonies received the
benefits of this umbrella coverage. However, as Smith points out, “colony
assemblies... [will not] levy upon their constituents a public revenue
sufficient not only to maintain... their own civil and military establishments,
but to pay their proper portion of the expense of the general government of the
British Empire seems not very probable.” (Wealth of Nations, Bk IV, ch. 7, para
155) Britain felt it had every right to establish the taxes necessary to cover
the costs. How were the colonies who did not see or know the big picture going
to have any idea what were necessary expenses for the defense and support of the
whole empire. Smith assumes that Britain would be fair and reasonable because
it is in the best interest of the Empire. Something that may or may not have
been believed by the colonists. And the colonies had a firsthand example of Britain’s
assumed altruistic nature in the monopoly
powers granted to various British trades and industries. Such monopoly powers
were not fair and definitely not reasonable in the colonists eyes.
What then could be done. The colonies
were up in arms over taxes which were a symptom of the bigger problem that they
felt they couldn’t get a fair deal (think monopolies). There needed to be
another way of allocating costs of government. Smith suggests that there could
be an assembly comprised of representatives from every part of the Empire. Such
representation could be based on some measure of involvement in the Empire. He
suggests the allocation of representatives could be based on the proportion of the
produce of taxation. Where more taxes are generated, more representation is given.
Produce or finished goods would be taxed consistently throughout the Empire so
the area that is more efficient or larger for that matter, all other things
being equal, has better representation. Let me let Smith summarize the possible
outcome. Remember this is in the 1770’s. “Such has hitherto been the rapid
progress of that county [America] in wealth, population and improvement, that
in the course of little more than a century, perhaps, the produce of America
might exceed that of British taxation.” “ The seat of government would
naturally remove itself to that part of the empire which contributed most to
the general defense and support of the whole.” (Wealth of Nations, Bk. IV, ch..
7, para. 165)
Reference:
An Inquiry into the Nature
and Causes of the Wealth of Nations
Adam
Smith (1723-1790)
http://www.econlib.org/library/Smith/smWN.htmlMonday, June 30, 2014
Over Scheduled, Some Quick Wisdom and A Story
I
have spent the last several months trying to survive my own mire. It was one of
those situations that I just kept saying yes to projects and people. I have
most of the brightly burning fires put out and actually have just a couple of
major on-going projects.
I
need to write the final part (part 3) on the Colonial System and Its Impact and
I have some new, what I think are exciting, ideas to discuss. I believe they
will be helpful and interesting.
For
today’s economic thought I want to quote from Paul Volcker,
former Chairman of the Federal Reserve, which he gave in a speech in 1999. “About every ten years, we have the biggest
crisis in 50 years.” That statement needs to be plastered on every wall
around your desk. Just a gentle reminder that every crisis is not new or earth
shattering in spite of what the financial news or talking heads may insist.
To
get into the proper spirit of things I want to tell a story which happened
to me at one of the activities I was involved in this past month. Wood Badge.
For those unfamiliar with it, this is adult leadership training for the Boy
Scouts of America. Very good training not only for scouting but also for
corporate, non-profit or other organization assignments. Among other things it
teaches principles of working with small and medium sized groups. All around
good stuff.
My
story relates to something that happened during the second half of the
course. For this story I will tell you that there are actually a couple of true facts,
one of which is that I damaged my little
toe. It was black and blue and I think I probably broke it, the toe, and definitely
broke a blood vessel in my foot. I had a bruise that spread across all my toes and a
little bit up the inside of my foot. It hurt like all get out and is still a
bit sore and swollen some 2½ weeks later. My wife asks me every so often if I
am going to get it looked at by competent professionals (i.e. a doctor) or not. I
am still deciding.
So,
I heard a commotion outside my tent one evening a couple of weeks ago. I was
attending Wood Badge with several others and was in my tent in the staff area
of camp. Now I know you will tell me that what I did was really dumb but I stepped
out of my tent in my bare feet. I know, I know, really dumb but there you have
it. Well, I stepped out and looked left across a small creek into a stand
of quaking aspen, beautiful trees, just in full leaf. Our camp was up pretty
high in the Uintah Mountains just south of the Utah border on the Wyoming side.
We had received 5 inches of snow earlier in the week. Anyway, as I looked into
the trees I was a bit surprised but not alarmed to see my friend KC coming
toward our camp pretty fast and being tailed by a bear. Now you may find it a
bit hard to swallow that KC was being chased by a bear but the bear wasn’t some
ol’ grizzly, only a black bear, I would guess about 2 or 3 years old and if worse came to worse I figured the bear wasn't that much heavier than KC and KC knows how to fight dirty. I wasn’t too
concerned for KC at first but became more concerned as I watched. The problem,
the bear seemed to be gaining on KC. Now it wasn’t gaining real fast but appeared
to definitely be gaining and KC was looking a bit worn. As KC was headed my direction I figured I should try
to help a bit. So as KC and the bear came by I decided to reach out with my
foot... Ah now, I see that you caught the implication of my act immediately.
Bare foot, bear. Anyway, I reached out without fully thinking things through and with my foot
roundhouse kicked the bear in the backside. Wouldn’t you know it, my little
toe got caught in the bear's hide and it separated itself from its fellow toes like one
of Spock’s Vulcan greetings. It really hurt and I went limping off as fast as I
could in the opposite direction from KC. The bear was so startled that it
stopped dead in its tracks and turned toward me. This gave KC enough time to
get around a large tree and I hobbled to another one. The bear was so disgusted
with the two of us he huffed and shambled off in another direction. I am afraid
you won’t be able to collaborate this story with KC, however. If you ask KC
about it he will tell you that the story isn’t true. He will tell you that the
bear was not gaining on him but that he was running so as to keep the bear just
behind him. Yes, he admits he was looking worn but it was a ruse to fool the bear into thinking he, KC, was getting tired. He says he was wearing it down and would have had it, the bear, all tired out
in another 20 or 30 minutes and so didn’t need my help. In fact he accused me of cruelty to animals and thought about reporting me to the proper authorities. He decided in the end not to report me because he said he thought it would be hard to convince the bear to be a material witness. Well, that’s the
story and I am sticking by it.
Anyway,
don’t believe everything you hear, either from me and not from the Federal
Reserve or from economists. The sky may be falling or not but the news isn’t
likely to know one way or the other regardless of what they say. Plus, always
remember, bankers (investment or commercial) are always friendly but seldom are
they your friends (in a professional capacity).
And
that’s the rest of the story.
Saturday, January 4, 2014
The Colonial System and Its Impact – Part 2 (Giving It All Up)
In part 1 we
began the discussion of colonies and the destructive nature of monopoly powers
as discussed in Adam Smith’s Wealth of Nations. Smith is adamant that trade monopoly
especially relating to colonies is
destructive. “All the original sources of revenue, the wages of labour, the
rent of land, and the profits of stock, the monopoly renders much less abundant
than they otherwise would be. To promote the little interest of one little order
of men in one country, it hurts the interest of all other orders of men in that
county, and of all men in all other countries.” (Wealth of Nations, book IV,
chapter 7, paragraph 146) His sentiments are fairly plain even if the sentence
structure is a bit mixed. Remember he was writing in the 1770’s.
Smith finds great potential in
colonies and colonial wealth generation possibilities. He suggests there are
three things that greatly help a colony to properly prosper by their commerce. One,
there needs to be a “general liberty of trade” as Smith describes it. The
producers of goods need to have access to markets and the knowledge that those
markets will treat them fairly and promptly. They need to be paid for their
produce or goods in a consistent, reasonable and as timely a manner as
possible. Two, the less interference, constraint or cost of moving goods and
produce the better. Profits can quickly be lost with high or frequent duties or
tariffs on transportation. Further, limits on exporting will greatly affect the
ability to move goods and receive the best price. In France during and just prior
to the time of Smith, farmers were barred or greatly hindered from moving
grains from one district to another thereby forcing artificial prices and production
based on district, not on best production practices. Smith was very aware of
the need to move produce and goods easily without hindrance by laws or
officials and with a minimum of costs (other than transportation expenses).

Third, and this is the most important, Smith suggests that there must be equal
and impartial administration of justice. There needs to be an equality under
the law regarding land, land use, selling and producing goods. He suggests that
these are the most important things for allowing improvement and prosperity. The laws must be administered in a fair,
reasonable and consistent manner.
So we return to the initial
statement by Smith in Part 1 – “Great Britain derives nothing but loss from the
dominion which she assumes over her colonies”. He has a novel solution. He
suggests that Great Britain voluntarily give up authority over her colonies.
Let them elect their own legislatures and establish their own laws. They can
make war or peace as they see fit and trade with whomever they desire on
whatever terms they can establish. Let them charge whatever prices for their
goods and produce markets will bear. He suggests four advantages to Great
Britain. First, she immediately is freed from the cost of providing a standing
army and naval support. If the colonies want protection they can contract to
provide such at some agreed on payment thus providing a revenue source for
Great Britain’s military operations. Second, as a recognized government the
colonies could enter into commerce treaties that would be of greater benefit to
the majority of Great Britain at the expense of the current monopoly powers. The
merchants with monopolies would lose their lucrative contracts but the general populous
would benefit from cheaper goods and produce. Third, Great Britain would
generate a great deal of good will with the colonists and her own citizens. The
prospect of self-government is a potent medicine for the colonists and better
and cheaper goods and produce a strong inducement for the citizens of Great
Britain. Fourth, the colonies may in fact favor and even support Great Britain
in war. Smith suggests that instead of the colonists being “turbulent and factious
subjects” they would become “our most faithful, affectionate, and generous
allies”. Here then is Smith’s answer to the problem of the colonies, however he
suggests that most if not all great powers will not establish colonies just to
let them become independent because it goes against the very nature and pride
of a nation. He also suggests that the act of freeing a colony is “contrary to
the private interest of the governing part of it”. He suggests that those who
govern want to control, if only for the chance to build wealth or distinction
for themselves or other personal interests. He suggests that keen self-interest
is stronger than altruistic nation motives. So, regardless of the potential
upside benefit the current status quo no matter how costly will likely prevail.
Next paper, Part 3. If Great
Britain won’t give the colonies their independence how do they get paid for
their expenses and costs and just what that might lead to.
Wednesday, December 18, 2013
The Colonial System & Its Impact – Part 1
Under the present system of management,
therefore, Great Britain derives nothing but loss from the dominion which she
assumes over her colonies. (Wealth of Nations, Book IV, Chapter 7,
paragraph 151)
Adam Smith in his seminal work on
economic theory, The Wealth of Nations,
wrote the above in the 1770’s. He was referring to the cost of nations
supporting colonies in general and the American Colonies costs to Great Britain
specifically. So why was the British government willing to support the American
colonies in such a situation? Colonial expansion traditionally has three things
to offer the state (as Smith calls the home country) first, raw land and what
it could produce. Second, animal production which he distinguishes from vegetable
production but could still in some sense be considered supported from the land.
And third, mineral production.
Smith discusses this three legged
stool for supporting colonization in his review of Columbus’s discovery of the
new world. He suggests that Columbus entertained the notion that he had
discovered the lands of Marco Polo’s travels and all the rich trade long after
it became evident that was not the case. Columbus needed to show that his
discovery of the America’s, if not the vast hoped for lands did have some
considerable value. Columbus could not show vegetable or animal produce that
was exceptional at the time so he flattered himself that he had found exception
mineral wealth, namely gold and silver. Smith suggests that in consequence of
this representation “the Castile determined to take possession of countries of
which the inhabitant were plainly incapable of defending themselves. The pious
purpose of converting them to Christianity sanctified the injustice of the
project. But the hope of finding treasures of gold [or silver] there, was the
sole motive which prompted to undertake it.” (Wealth of Nations, chapter VII,
prt 1, page 72)
Spain and Portugal scoured most the lands of the Western Hemisphere looking for the mineral wealth and in most cases initially ignored possible land wealth. There were some that were interested in non-mineral opportunities and these people saw early the potential of land. This allowed an opportunity to get something that was not available in populated Europe or Great Britain where serfdom and lifelong servitude with little chance for improvement was much more normal. But land with its possibilities was available in the new colonies of America, especially for British subjects. Smith suggests that agriculture is the proper business of all new colonies because the cheapness of the land gives strong advantages. Cheap land allows the production and sale of cheap produce which, because of the cheapness makes it possible to export. The colonies need manufactured goods which can be imported. So why Smith’s opening statement? He suggests that granted monopolies were a significant problem and one that lead to problems of cost and eventually revolution.
The shopkeepers and other traders of England wanted to control the power of providing all manufactured and other goods to the colonies so as to capture what they saw as the wealth being generated. If the colonists could only spend their money on England’s goods then all the benefit would flow to England. Further, they enacted that the colonies could only sell their produce to England except in certain rare cases where they had to sell it to faraway lands that British merchants didn’t care about. Thus began early price control. Smith states that the maintenance of this monopoly was perhaps the sole purpose of the control by Great Britain over the colonies. He further suggests that any cost paid to maintain this control has been to maintain the monopoly for British shopkeepers and manufacturing. To support the monopoly, Smith states that the state was willing to cover the costs of 20 regiments of soldiers and the expense of food, pay and military provisions, the cost of maintaining a naval force sufficient to discourage smuggling along the entire American and West Indies coasts.
Additionally, there was the cost of various conflicts with other nations including the Spanish war of 1739 which should also be included in the tab charged to colonial protection. So, Smith argues that all these costs are not offset by the benefits of monopolized trade gathered from the colonies and including any taxes collected. That is why Smith suggests that the colonies are a loss to Great Britain.
In following papers I will explore Smith’s comments on alternatives to keeping colonies (and the benefits possible) and the motives of politicians. I think you will find them interesting and provocative.
Spain and Portugal scoured most the lands of the Western Hemisphere looking for the mineral wealth and in most cases initially ignored possible land wealth. There were some that were interested in non-mineral opportunities and these people saw early the potential of land. This allowed an opportunity to get something that was not available in populated Europe or Great Britain where serfdom and lifelong servitude with little chance for improvement was much more normal. But land with its possibilities was available in the new colonies of America, especially for British subjects. Smith suggests that agriculture is the proper business of all new colonies because the cheapness of the land gives strong advantages. Cheap land allows the production and sale of cheap produce which, because of the cheapness makes it possible to export. The colonies need manufactured goods which can be imported. So why Smith’s opening statement? He suggests that granted monopolies were a significant problem and one that lead to problems of cost and eventually revolution.
The shopkeepers and other traders of England wanted to control the power of providing all manufactured and other goods to the colonies so as to capture what they saw as the wealth being generated. If the colonists could only spend their money on England’s goods then all the benefit would flow to England. Further, they enacted that the colonies could only sell their produce to England except in certain rare cases where they had to sell it to faraway lands that British merchants didn’t care about. Thus began early price control. Smith states that the maintenance of this monopoly was perhaps the sole purpose of the control by Great Britain over the colonies. He further suggests that any cost paid to maintain this control has been to maintain the monopoly for British shopkeepers and manufacturing. To support the monopoly, Smith states that the state was willing to cover the costs of 20 regiments of soldiers and the expense of food, pay and military provisions, the cost of maintaining a naval force sufficient to discourage smuggling along the entire American and West Indies coasts.
Additionally, there was the cost of various conflicts with other nations including the Spanish war of 1739 which should also be included in the tab charged to colonial protection. So, Smith argues that all these costs are not offset by the benefits of monopolized trade gathered from the colonies and including any taxes collected. That is why Smith suggests that the colonies are a loss to Great Britain.
In following papers I will explore Smith’s comments on alternatives to keeping colonies (and the benefits possible) and the motives of politicians. I think you will find them interesting and provocative.
Thursday, November 14, 2013
Government Statistics and Raising A Child – How Not to Read the Data
We got the call we have been hoping
for from our daughter the other day. She said, dad, we have a foster child. Our
daughter and son-in-law have passed all the tests and done all the preparation
to be foster parents. They have been looking forward to the opportunity with
excitement and some concern. Our daughter could have said, dad we have a foster
child, now what do we do? But they didn’t. It is a little interesting because
they were expecting an older child and instead have an 18 month old. A little
different than they were expecting but we are all pleased and so are they. I
have been thinking about raising five children (really Margie raised five
children and I tried to be helpful and not cause too many problems) and the attendant
questions and thoughts I had when first starting out. We are now looking at
being empty nesters in just a couple of years.
So, how did we afford to raise five
children? Well, it wasn’t by reading the USDA reports on the cost of raising a
child, even back when we started the process. A CNNMoney article titled “Average
Cost to Raise a Kid: $241,080” as quoted by Melanie Hicken, August 14, 2013 on
money.cnn.com states “From day care to the monthly grocery bill, the cost of
raising a child is climbing at a rate that many families can’t keep you with.” The
article says that a U.S. Department of Agriculture report released Wednesday
(August 14, 2013) says the cost of raising a child from birth to 18 is up 3%
from 2011, not including college to as much as $441,100 ($24,505.56/yr). The
average cost is $241,080 ($13,393/yr). If we assume each child cost that much (the
article doesn’t differentiate between one and several children) then Margie and
I would not have been able to afford 5 children during the early years we had all
of them at home on my salary.
The problem with this kind of data and
other related and interesting ideas is discussed in a new book I recently picked up by
Charles Wheelan titled Naked Statistics Stripping the Dread From the Data.
I find his writing informative, entertaining and thought provoking. It sort of
reminds me of a book from several years ago titled How to Lie with
Statistics by Darrell Huff. The premise of Wheelan’s book is that we need
to use statistics correctly and if we do we can gain some important insights
into our daily lives and what is happening to us. On the other hand he suggests
that there are some statistics that if used incorrectly lead us to very erroneous
conclusions or can even kill us. The above article is one of those cases that
can lead to some very poor choices. One of Wheelan’s chapters is titled The
Importance of Data: “Garbage in, garbage
out”, another chapter is titled, Deceptive Description: “He’s got a great personality!” and other
true but grossly misleading statements. I think you can see where I am
going with these chapters from Wheelan. We need to be particularly careful in
just reading the news headlines or even the actual article because the information
may very well not give us what we need.
Wednesday, June 12, 2013
Playing in the Sand Pile – Observations About Sand in Your Shoes – Part II
I
really am more organized than I sometimes seem. I had an outline of the topic I
wanted to write about tonight. I started about four hours ago thinking I would
be done in an hour or so. Well, it isn’t an hour later (as my previous sentence
suggests) and I deviated quite a bit from the original outline. However, I feel
that I need to lay this groundwork tonight. I cannot over emphasize the
importance of being wary of economic and financial models or money schemes or
the best investment you could ever make. Regardless of what Ben Bernanke (of
the Fed) or Tim Geithner (of the Treasury Department) or leading economists
(with lots of letters and abbreviations behind their names) or your neighbor
(it is such a hot tip) or your best friend or a member of your religious congregation
or your financial planner, tells you - be suspicious (in a nice way if you think
you need to).
Previously
we touched on the idea of the sand pile effect in nature and modeling. It includes
such concepts as nonlinearity and the
critical state, is often known as complexity theory and sometimes called chaos
theory. These ideas and concepts are discussed by Mark Buchanan in his book Ubiquity Why Catastrophes Happen, who we
looked at briefly last blog and Nassim Nicholas Taleb in Fooled by Randomness who we have discussed several times.
Let’s illustrate nonlinearity. Suppose we are enjoying a day at the beach with
nothing better to do than build a sand tower as high as we can. As the tower
increases with each bit of sand we add there comes a point that one more bit of
sand causes the entire tower to collapse and slide down. This illustrates a
nonlinear effect resulting from a linear force exerted on an object. Our tower
suffered a disproportionate collapse from a very small additional input, namely
a little bit of additional sand. It the sand pile would have reacted in a
linear fashion we would have expected the small bit of sand to have a small
impact. There are some idioms that incorporate this idea, the straw that broke
the camel’s back or the last straw, or the drop that caused the water to spill.
I can remember my father saying something like “that was the last straw” as he
explained to me why I was being punished for what I thought was a fairly minor
infraction and not worthy of the severity of the particular punishment I was
receiving.
Taleb suggests that the nonlinear dynamics has what he calls the bookstore name of Chaos Theory. Taleb further suggests this is a misnomer because the theory has nothing to do with chaos or randomness instead, chaos theory does concern itself mainly with functions in which a small input can lead to a disproportionate response. A little bit of sand generates a massive sand slide. Buchanan suggests a slightly different but similar definition in his comment on what he calls the critical state. He says it represents “…a special kind of organization characterized by a tendency toward sudden and tumultuous changes, an organization that seems to arise naturally under diverse conditions when a system gets pushed away from equilibrium.” Buchanan says this is the first landmark discovery in the emerging science of nonequilibrium physics. Remember he is science writer and has a Ph.D. in theoretical physics.
Taleb suggests that the nonlinear dynamics has what he calls the bookstore name of Chaos Theory. Taleb further suggests this is a misnomer because the theory has nothing to do with chaos or randomness instead, chaos theory does concern itself mainly with functions in which a small input can lead to a disproportionate response. A little bit of sand generates a massive sand slide. Buchanan suggests a slightly different but similar definition in his comment on what he calls the critical state. He says it represents “…a special kind of organization characterized by a tendency toward sudden and tumultuous changes, an organization that seems to arise naturally under diverse conditions when a system gets pushed away from equilibrium.” Buchanan says this is the first landmark discovery in the emerging science of nonequilibrium physics. Remember he is science writer and has a Ph.D. in theoretical physics.
Look
at the sand pile example again. Suppose you were to apply the nonlinearity
principle to your commute home. A trip could take from a few seconds to months.
Or suppose you are coming to the corner of the street. What is the likely
height of the next person to come around the corner towards you. If we are in the
sand pile the person could be from inches to miles high. Yet we have examples
that follow this nonlinearity. Why is Bill Gates so rich. Is it because he is
an intellectual giant compared to the rest of humanity. Or perhaps he is so
much more intelligent than the rest of us. He may very well be of above average
intelligence and superior work ethics and have high personal standards. But is
he so much better as to deserve to be so wealthy. An element of nonlinearity or
luck would better account for it. Economies, markets and social arenas tend to
be nonlinear. There really isn’t a mathematical
model that can successfully model this type of activity. The model has to have
a random element. Having said that, there are many who try to model parts and
bits of things but the full, rich experience which makes up the world around us
is difficult and complex. Think of weather models, how successful are we in
predicting how much rain will fall on our backyard tomorrow, then one month later.
If weather was linear we should be able to predict both time periods with great
accuracy. Taleb suggests that one reason we get in trouble with economic and
financial models is that some “…intelligent people who felt compelled to use
mathematics just to tell themselves that they were being rigorous in their thinking,
[and] In the great rush [to develop models] decided to introduce mathematical
modeling techniques… without considering the fact that either the class of
mathematics they were using was too restrictive for the class of problems they
were dealing with, or that perhaps… the precision of the language of
mathematics could lead people to believe that they had solutions when there
were none.“ The purveyors of economic
and financial models may try to convince us that their models do include enough
“mathematics” to describe the particular situation but from our examples of
tonight it seems very unlikely that the models will stand any test of time or uncertainty.
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