One of the editors at Scientific American brought this to my attention, and
he is hoping to receive feedback. This is part of their "Edit
This" series. The idea is that they post a draft of an article they plan to
print in a future edition of the magazine, then incorporate feedback into the
the print version:
Tell us your reactions to the arguments made in this piece. Your feedback
will be incorporated into a version of this article that will appear in a
future print issue of Scientific American.
The article itself, "which is sure to raise the hackles of some members of
the economic community," argues that economists cannot explain the relationship
between innovation and growth, and proposes a "grammar model" as an alternative
to traditional growth models:
The Evolving Web of Future Wealth, by Stuart Kauffman, Stefan Thurner, and
Rudolf Hanel, SciAm: ...Perhaps the most stunning feature of the economy
over time is the explosion of goods and services. Yet contemporary economics
has no adequate theory to understand this explosion or its importance for
economic growth and the evolution of future wealth.
My first reaction was that we do have models of variety and growth:
Optimal Product Variety,
Scale Effects, and Growth, by Henri L.F. de Groot and Richard Nahuis:
...Product variety is an important determinant of economic welfare. Following
the seminal work by Dixit and Stiglitz (1977), and Spence (1976) the welfare
effects of variety have been analyzed from various angles.[1] ... With the
presence of economies of scale in production, producing a small variety saves
resources that can be used to extend the production volume. Hence a trade-off
arises... It turns out that the market supports too low product diversity.
Subsequent studies addressed the optimality question in the presence of growth.
In a dynamic context, reduced variety not only saves resources that can be used
for extending the produced quantity, but potentially also to increase the rate
of growth. Grossman and Helpman (1991, chapter 3) analyze welfare in a model of
endogenous growth. In their analysis, there is (continuous) growth in product
variety resulting from investment in R&D. The more labour an economy allocates
in the R&D sector, the less labour remains for producing consumption goods. The
question here is one of growth in variety versus volume of consumption goods.
The optimal trajectory entails more rapid growth of variety than the market
equilibrium sustains, as firms ignore the contribution of their knowledge
creation to a common ’knowledge pool’. Grossman and Helpman (1991) also analyze
a quality ladder model. ... Here innovative effort aimed at quality improvement
might be suboptimal high or low, depending on the size of the quality step. Van
de Klundert and Smulders (1997) develop an endogenous growth model in which,
contrary to Grossman and Helpman (1991), R&D is an in-house activity aimed at
improving quality. Besides quality growth, variety is also determined
endogenously. ...
The studies discussed so far assume that variety has a direct effect on
consumers’ welfare as consumers have a love for variety. Another branch of
literature looks at the productivity effects of increased product variety...
And as footnote 1 notes, "In the overview..., we have no pretension of being
exhaustive," so this is by no means all of the work on this topic. But these
models don't, as far as I know, explain how new innovations and variety
arise, and that is one of the things the Scientific American article is trying
to do (though I'm not sure it is fully successful, the model produces broad
statistical relationships that predict how frequently innovations ought to
occur, but is not precise about the types of innovations that will arise). Back
to the article:
Economic growth theory is highly sophisticated about the roles of capital,
labor, human capital, knowledge, interest rates, saving rates and investment in
existing economic opportunities, or investment of savings in research to find
novel goods and services. Yet the major conceptual frameworks that undergird
contemporary economics (competitive general equilibrium, rational expectations
and game theory) share a crucial failing. They assume that all the goods and
services (as well as the relations between them) and all the strategies for
engaging with them in a local or global economy can be "pre-stated"—that is,
known in advance. In reality, novel goods and services may constantly enter
markets, thereby requiring economic actors to develop ever more novel
strategies: all the relevant variables cannot be pre-stated.
Thus standard growth theory misses an essential feature of this "economic
web" of goods and services. Even more important, as we shall explain, it
ignores the role that the structure of the economic web itself plays in driving
the creation of novelty and the evolution of future wealth. ...
The ways goods and services come to be used together in the real economy may
not be describable in advance... Because it is impossible to identify all the
preadaptations and potential economic uses for goods and services, it is
impossible to finitely prestate all the possibilities for them. This conclusion
has profound significance: it means that predicting future innovations is
fundamentally incalculable, even on the basis of probability because no
probability distribution can be assessed without knowing the range of possible
outcomes. (And beyond economics, this principle may have equally radical
consequences for much of the rest of science [see sidebar].)
Decision theory—the tool of management that suggests making optimal choices
by summing discounted future values over the probability distribution of all
possible outcomes—is of limited usefulness, as are businesses' five-year plans.
... Business, like life in general, is an art wherein we must use reason,
intuition, emotion, metaphors, models, case studies and more to guide
ourselves. Business is not a calculus. Thus, economics can only partially be a
calculus, and a much broader conceptual framework is needed.
The Economic Web A screw and a screwdriver are complements, used
together to create value by, say, fastening two boards. A screw and a nail are
largely substitutes: loosely speaking we can use one where we use the other.
Now imagine all 10 billion or more distinct goods in the contemporary global
economy as points in a large three-dimensional space. Join complements by green
lines and substitutes by red lines.
This network is the economic web. We do not know its structure, but it
exists. It evolves over time, although we know little about how. Do statistical
laws govern its evolution? Are firms located near the center of the web (say,
automobiles or computers) in a strategic situation different from those on the
periphery, such as hula hoops?
The web of complements to a good forms a mutually self-reinforcing and
cross-reinforcing subnetwork that enhances its own economic growth. For
example, with the car came its complements, among them gasoline, paved roads,
motels, fast food restaurants and suburbia. In turn suburbia gave rise to an
enormous number of consumers of automobiles, gasoline, paved roads and so on.
We might call such mutual cross-enhancement "collectively autocatalytic,"... In
economic terms, we might call them collective webs of mutually positive
"externalities" between complementary technologies. ...
In contrast, consider the hula hoop, which appears to have few complements.
It may have made money for its producers, but it sparked no lightning in the
form of complementary technologies or products that collectively drove an
explosion of wealth. The hula hoop could come and go with little effect on the
economy.
The preceding observations show why we must come to understand the
structure, evolution and roles of the economic web. Of course, it is people who
invent novel goods and services, but the structure of the web itself singles
out where invention and investment are likely to yield a profit and drive
growth.
Two further features of the web make us suspect that the diversity of the
economic web drives its own growth autocatalytically. First,.... The more goods
and services that exist in the economy, the more recombinations among them are
possible. ...
Second, new goods and services typically enter the economy as complements or
substitutes for existing goods and services. Call the set of goods and services
that are complements or substitutes to a given good or service its economic
niche. As the web grows, does it create new niches faster than it creates new
goods and services? The general answer is not known, but the very large number
of complements to the automobile and computer noted above, with their mutually
cross enhancing externalities, suggest that the average number of new adjacent
complements and services created per new good or service is greater than 1.0.
If so, then the growth of economic niches is indeed autocatalytic. The more
goods and services that exist, the higher the diversity of the economic web and
the faster the creation of new economic niches. Thus the very diversity of the
economic web is almost certainly a major factor in creating the conditions for
its own further expansion.
We do not yet know whether that is so, nor whether the average number of
novel niches created per new good has changed since 50,000 years ago. Economic
historians can discover the truth. But in the meantime, we note that these
issues are not yet part of economic theory, and may be major, largely
overlooked factors. If so, they may have practical implications and deserve
detailed examination.
An Algorithmic Model There are profound reasons that the structure
and growth of the economic web is not part of current economic theory... What
algorithmic model can describe unforeseeable Darwinian preadaptations in the
economy? There may be none.
The hope of finding a mathematics that could describe and predict how novel
goods and services unfold as the economy evolves into its adjacent possible
thus seems precluded, at least at present. But even if the growth of the
economy is not algorithmic, an algorithmic approach may still be of use in
finding statistical features of model economies for comparison to the real one.
Crucial here is the enlargement of the current framework: a concept is needed
to mathematically tame the "adjacent possible."
One such approach is a "grammar model" that represents goods and services
with binary symbol strings... Within our model, the number and diversity of the
strings can stand for renewable resources, appearing each year. Symbol strings
can act on one another to create new symbol strings. ... A "grammar table"
lists all the pair rules for these transformations. This arrangement can
simulate a simple economic production function.
Intuitively, one sees that if the starting (and renewable) number of strings
is small, that their diversity is low and that the grammar table has few pair
rules, symbol strings will probably not be able to act on one another and few
novel symbol strings will be created. We call such behavior subcritical. A
subcritical economy cannot generate a growing diversity of goods and services.
On the other hand, studies show that as the number of pair rules, resource
strings or both increases, the system can abruptly transit into a supercritical
domain where a large—perhaps unending—diversity of symbols strings may be
generated. We call this explosion of goods and services supracritical. ...[...continue
reading...]
Quick reactions are dangerous, but I'm going to do it anyway. It's not hard
to believe that when there are a lot of complementary objects in close
proximity, they can be combined in many, many ways, some of which will be highly
valued. It's also believable that what can be produced from novel combinations
depends upon what already exists, i.e. there is path dependence to use the term
from economics for this. That there is a critical number of connections required
for innovative activity also seems reasonable.
But the web does not form exogenously, and the underlying economics has a big
impact on its evolution. For example, agglomeration economies induce firms with
complementary goods to locate close to each other - when a manufacturer comes to
town, a company that produces packing materials for shipping the good may open
nearby, and these decisions, when made by many firms, concentrate human and
physical capital in close proximity, and this can set the stage for further
innovation. (People with substitutes will also locate strategically, usually far
apart but not always). What seems to be missing from this from my quick reading
of it is the main topic of the research - the economics - and how price and
expected profit signals determine how the web is organized, which innovations
are pursued, etc. The decisions of agents, where to locate, what goods to buy,
which ideas to pursue, determine the structure of the web. It is not an
exogenous process that can be imposed upon the economic system, and the
endogenous evolution of the web seems to me to be the important - and unanswered
- question.
In a way we mathematically benefit from our profound ignorance of the real
economic web's detailed structure because it forces us to model the catalytic
network as basically random.
But is it "basically random"? That's where my questions begin.