Complexity Digest 2000.01

03-Jan-2000

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  1. The Theory of Everything, PNAS Next Article Bookmark and Share

    A recurring theme on complexity discussion lists is the question what actually makes a system complex. Laughlin and Pines approach this question from a fundamental physics perspective: For traditional physicists the reductionist goal is to take a system apart, look for the most fundamental building bricks and the laws of how they interact and write those laws down as mathematical models. The ultimate goal is that those models then eventually lead to a "theory of everything (TOE)". Going back up the scales to build objects of everyday experience like clouds and brains then is a mere matter of building complicated objects. In that view an organ is not different from a very complicated machine. The position of the authors is that for all practical purposes the existing quantum theory and classical physics constitute already a TOE. But they claim that it is not really relevant, that even if the TOE would change it still could lead to the same phenomena on a macroscopic level.

    An implication of this claim is that something fundamentally new has to happen as one moves up from elementary particles to brains. They give an argument that already for very small microscopic systems a TOE would in principle not be able to calculate the behavior of the system and that fundamentally new properties emerge. Thus Laughlin and Pines understand "emergence" in a philosophically strong sense, that the emergent properties are indeed unknowable just from the behavior of the microscopic components. Some of the emergent properties are universal in the sense that they are independent of the details of the microscopic theory. They form the basis for a rigorous theory of self-organized complex systems that is not reductionistic but whose fundamental entities are the universal properties. The examples given by the authors are from the area of superconductivity and other macroscopic quantum effects. But they also mention turbulent patterns from fluid dynamics ordering phenomena in liquid crystals (like LCD displays). They call those self-organized states "protectorate, a stable state of matter whose generic low-energy properties are determined by a higher organizing principle and nothing else".

    They see a new empirical non-reductionistic science on the horizon of the new millennium that is rigorously based in observations and experiments and does not depend on speculative deductions from microscopic first principles. At the same time it is not purely phenomenological but has a foundation of universal properties at mesoscopic and macroscopic/observable scales. Laughlin et al. discuss self-organization specifically at mesoscopic scales in the same issue.

    The Theory of Everything, R. B. Laughlin, David Pines, PNAS, Vol. 97, Issue 1, 28-31, January 4, 2000


  2. The Middle Way, PNAS Next Article Bookmark and Share

    Traditional, reductionistic science and especially physics tried to explain the world by looking at the smallest, (sub-) microscopic and the largest, cosmological scales. The scales of our direct experience seemed to be understood in principle and it was to be only a matter of time and computer effort before all phenomena at those intermediate scales can be fully understood. Laughlin & Pines discuss in a separate paper the reason why this view is fundamentally flawed because of emergent properties of complex systems. In Laughlin et all the researchers focus on a scale smaller than accessible to direct observation but large enough that the number of particles involved in the organized pieces of matter is large enough to be beyond explicit calculation from the constituent parts. These are scales at which biological "miracles" happen. Phenomena that can be categorized and described but not explained in terms of detailed mechanism. Examples are bio-molecules such as enzymes and intra-cellular structures that are responsible for dramatically complex biological processes that are reproducible and can be modified but not derived from the properties of their constituents. The authors discuss the possibility of new and undiscovered organizing principles that have universal properties in the sense that they are independent of specific details of the underlying microscopic properties. They call those properties "protected" properties of matter.

    Some of those principles are related to the concept of energy landscapes: Similar to a ball that will roll down slopes in a natural landscapes until it comes to rest at a local minimum it is visualized that the constituents of mesoscopic systems will arrange themselves until they reach a state of minimal energy, or a local minimum in the energy landscape. One complication is given by the fact that these landscapes are not two or three-dimensional but they can be of a very high dimension (dimensions here has to be understood not as the dimension of our physical space but the number of different, independent modifications the system is allowed to undergo.) Just from the combinatorics of the system it is clear that there are a large number of possibilities how a system can reach a minimal energy state such as a stable configuration of a folded protein. Biologically interesting complex structures typically are not those that have an absolute minimum in energy (when a biological system reaches that state it usually is dead) but those that are meta-stable. One universal mechanism that can lead to an interesting structured state is known among the experts as "frustration": Subsystems are in a state where they would move in one direction that would decrease the energy of one interaction but increase the energy because of different interactions. Phenomena like those can generically lead to non-exponential dynamics and aging. Physical systems with such properties are glasses and materials that will be used for quantum computers. That is an indication that a new generation of (nano)-computers will not only be very complicated but also truly complex.

    The Middle Way, R. B. Laughlin, David Pines, Joerg Schmalian, Branko P. Stojkovi, and Peter Wolynes, PNAS, Vol. 97, Issue 1, 32-37, January 4, 2000

  3. Self-Organization and Leadership Emergence, Nonlin. Dyn., Psych. & Life Sciences Next Article Bookmark and Share

    The study by Zaror and Guastello is concerned with the particular case of leadership studies, and was conducted to determine whether a nonlinear dynamical process for leadership emergence would generalize from North to South America. Many of the leadership styles that are known in the Americentric research literature are also evident in the other cultures. In spite of the similarity of styles and constructs, however, cultures appear to differ with regard to how the styles are expressed and preferred by subordinates at large.

    The researchers identify interaction between leaders and subordinates as characteristic for the degree of leadership displayed: A high-quality interaction would be characterized by four principles -- loyalty, respect, contribution, and positive affect -- which comprise a single indicator of leader-member exchange (LMX). High ratings on LMX have been associated with work outcomes such as individuals' work performance, job satisfaction, satisfaction with supervision in particular, role clarity and conflict, and leader-member agreement, perceived organizational support, and commitment to the organization,

    The evolving principle of self-organization is that the local dyadic interactions give rise to global phenomena. Not unimportant is the finding that interactions among all organization (or group) members are relevant to the global outcomes. This latter point is pivotal in the emergence paradigm adopted here, which is based on the rugged landscape model of self-organization and leadership emergence.

    The authors claim that they were able to identify a "swallow-tail catastrophe models" that describes the transitions involved in the emergence of leaders. These models have generic properties for non-linear dynamical models and are used to describe sudden transitions (catastrophes) in a geometrical framework.SwallowTail Catastrophe

    The "swallow-tail catastrophe model" depends on three control parameters and although the authors were not able to clearly identify them they think that they are related to asking questions, making jokes, initiating a line of discussion, clarifying points made in a discussion, diffusing conflict, following others, and "gate keeping".

    Self-Organization and Leadership Emergence: A Cross-Cultural Replication, Gonzalo Zaror, Stephen J. Guastello, to app. in Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 4, No. 1 (January, 2000).

    A Rugged Landscape Model for Self-Organization and Emergent Leadership in Creative Problem Solving Groups, Stephen J. Guastello, Joanna Craven, & Benjamin R. Bock, unpublished abstract


  4. Hacker group: The future of war is information, CNN Next Article Bookmark and Share

    It seems that one emergent structure in all social systems is the collective violence in organized war. At times war was "the mother of inventions" and arms races pervaded all aspects of human creativity. Therefore it comes as no surprise that as society moves into an information age warfare keeps up with this trend to create "information warfare". This was one of the topics discussed at the recent 16th annual Chaos Communication Congress in Berlin. Frank Rieger, a member of the notorious Chaos Computer Clubs that was responsible for some of the early Internet break-ins discussed some recent examples of information warfare as part of military operations like the air raids of NATO planes against targets in Serbia. He mentions the use of intercepted cell phone calls to make demoralizing calls to families of soldiers. He also brought up the old speculation that the bombing of the Chinese embassy in Belgrade was an information-attack launched by the Serbs. Apparently he didn't mention defensive systems against satellite-guided bombs and cruise missiles that would simply send out a fake GPS signals as featured in a recent James Bond movie that would guide them to false targets.

    Rieger expects that in the future it will be difficult to identify an information attack that is disguised as a communication glitch. Spreading of false information is also an aspect of information warfare although with the high redundancy of information on the Internet counter measures will also be improved for instance by a fast verification by trusted and independent sources. On the other hand if one considers the recent drop in Taiwan stock values after the politically provocative statement of President Lee of state-to-state relationships with China one can also expect that media announcement can be timed and spread rapidly by the Internet that may lead to economically destabilizing swings in financial markets. Since all of these examples deal with interacting intelligent agents it is to be expected that methods from complex systems and non-linear control of chaos will play a significant role in information warfare.

    Hacker group: The future of war is information, Douglas F. Gray , CNN, December 30, 1999, 18:13 GMT

  5. VA Linux Unveils New Service, Wired News, Reuters Next Article Bookmark and Share

    Both the Internet and the Word Wide Web are examples of global, self-organized structures of information and communication networks. This does not mean that national and private organizations did a lot of planning and active organizing to set these structures up but there was note one single, global organization that made the decisions about how this global network would be designed and implemented instead it evolved through a series of "Request for Comments (RFC)".

    History took a different course in the area of computer operating systems that are now used to access the Internet and WWW. Some historians will explain one day why users of personal computers got "locked-in" to an operating system that started as "Quick and Dirty Operating System (QDOS)" (later the "Q" was dropped when it turned out that it was not that quick). Today, one single company dominates the global market of personal computer operating systems in a way that gives advanced users and software developers little space to adapt and customize the operating system.

    The conflict of a user between an increasingly integrated and complete but restrictive software environment and an open, adaptive operating system has been shifting lately towards the second category. VA Linux Systems Inc., a developer of systems and services for the alternative Linux operating system will create a hosting service for open source software projects. "The Sunnyvale, California company, which went public last month with the biggest first-day gain in IPO history, will unveil a service called SourceForge for the open source community. With this new service, VA becomes an application service provider, or ASP, for open source projects and corporations. "

    Linux and unix are popular in academic circles but are not as user friendly and application rich as the current versions of the windows system. The 200 employees and 3000 software developers that registered on the SourceForge Web site (growing at a rate of 25% per week) will try to change that situation. If that rate continues we can expect some interesting phase transitions in the not too distant future.

    Breaking news (Reuters/Taiwan News, 1/7/2000): China will ban the use of Windows 2000 in its vast government institutions. Instead, the use of "Red Flag Linux", a verion of Linux developed by Chinese researchers will be the operating system of choice for official government business.

    VA Linux Unveils New Service, Wired News, Reuters ,7:12 a.m. 4.Jan.2000 PST

  6. Expansion of the Genetic Alphabet, Nature Next Article Bookmark and Share

    Excerpts: "The genetic book of life is a monotonous tome: it is written in just four letters. Now US chemists have shown that they can expand the language of the genes by adding a new letter." (...)

    "McMinn and colleagues made up-by hand-a single strand of DNA in which the synthetic base was inserted four characters from the end. They paired this up with a strand of complementary bases that stopped just before the synthetic base, leaving a dangling stretch of five unpaired bases.

    The researchers then showed that a natural DNA-making enzyme from the bacterium Escherichia coli was able to generate and incorporate a second copy of the synthetic base into the unfinished strand, pairing it up with the first. Unfortunately, however, this artificial pair seems to disrupt completion of the second strand, probably because the shape of the pair differs from that of a natural base pair.

    Nonetheless, this work, reported in the Journal of the American Chemical Society1, shows that the genetic code can be given a foreign character, which is not readily confused with the four natural letters. Now the question is: can it be used to say anything new?"

    Expanding the book of life, Philip Ball, Nature, 12/24/99,

    McMinn, D.L., Ogawa, A.K., Wu, Y., Liu, J., Schultz, P.G. & Romesberg, F.E. Efforts toward Expansion of the Genetic Alphabet: DNA Polymerase Recognition of a Highly Stable, Self-Pairing Hydrophobic Base J. Am. Chem. Soc. 121, 11585 (1999).


  7. Sex Determination in Malaria Parasites, Science Next Article Bookmark and Share

    Sex ratio is one of the directly accessible parameters that can be observed in populations of different species and that plays a direct role for the species' evolutionary fitness. Whereas in most mammals a symmetric ratio of 50-50 is maintained -often with surprising stability- in other species the sex-ratio is used adaptively. For instance ants take advantage of the facts that only a few males are needed for reproduction and that female individuals are more valuable for the survival of the species. Paul et al. investigated the adaptive changes of the sex ratio in Malaria parasites. They came to some interesting conclusions that might have a direct effect for immunization and treatment of human Malaria:

    "For the malaria parasite, a single haploid cell gives rise to a clone producing both females and males. The ratio of males to females is important in understanding and controlling disease because transmission of malaria in nature depends on sexual union of the parasites and because more males are formed in lethal infections. Paul et al. have found that the frequency of the sexes is affected by the host hematologic state. Treatments that induce erythropoiesis result in a shift to male parasites, which leads to decreased reproductive success. This finding may provide new approaches in malaria control as well as new considerations in therapy, as the antimalarial drug chloroquine inhibits erythropoiesis. "

    Sex Determination in Malaria Parasites, Richard E. L. Paul, Timothy N. Coulson, Anna Raibaud, Paul T. Brey,

  8. Making the Right Connections in the Brain, Science Next Article Bookmark and Share

    Topoisomerases, enzymes that are critical for successful DNA replication have an unsuspected role in neural development: Yang et al. find that mice with mutations of that enzyme have very specific defects in the nervous system. It seems that these enzymes are responsible not for the development of the neurons themselves but in how they connect to other neurons with the help of their outgoing axons. More specifically the researchers could show in their experiments on mice that axons of motor neurons would not reach skeletal muscles, and axons of sensory neurons did not enter the spinal cord. As a consequence mutant mice with this deficiency were born with the inability to breath normally and died shortly after birth.

    Scientifically these results are exciting evidence for the modular organization of biological systems as discussed by Hartwell et al. (see ComDig 1999.9.1): The genes that lead to the formation of the topoisomerase enzymes are not involved in the development and location of cells (neurons in this case) but specifically in the communication and networking among these cells.

    It is known that in yeasts and Drosophila one type of topoisomerase is critically important for segregation of intertwined pairs of newly replicated chromosomes. In yeasts, the enzyme is also involved in relieving torsional and flexural strains in DNA. It appears as one of the miracles of molecular biology that one enzyme can be involved in different organisms in a number of seemingly unrelated chemical processes that are in their effect on the development of the organism highly specific.

    DNA Topoisomerase II and Neural Development, Xia Yang, Wei Li, Elizabeth D. Prescott, Steven J. Burden, James C. Wang , Science, Volume 287, Number 5450 Issue of 7 Jan 2000, pp. 131 - 134

  9. Long-Term Weight Control, Science Next Article Bookmark and Share

    One of the primary functions of life is to make sure that the living organism lives long enough to have a chance to reproduce. That includes a regulation of the food intake at a level that prevents starving as well as the effects of too much food intake. In mammals it seems that the controlling factor that will trigger behavior that makes sure that these goals are reached are connected to the pleasure center in the brain. Depending on the energy level of the body the intake of the same kind of food can either be highly pleasurable (after being starved) or almost painful (for instance in a hot-dog eating contest).

    It is known that this communication system inside the body consists of several sub systems. A chemical subsystem uses the hormone Leptin that is produced by fat cells and that signals when the body has sufficient energy reserves. It has been known that leptin influences the hypothalamus in the brain but the exact way in which it communicates with the brain's pleasure center was not well understood.

    Fulton et al. studied this problem in a series of smart experiments with rats. The worked with rats that had electrodes implanted in their pleasure centers that they could activate by pressing a lever. This technique is known as Brain Stimulation Reward (BSR). They observed that the effect of electrically stimulating the pleasure center was significantly enhanced for hungry rats, which means that their BSR value was increased during food deprivation. The researchers then injected leptin into the brains of the rats and they observed that as a result the efficiency of brain self-stimulation was greatly reduced. It is interesting that this effect lasted for as long as four days after leptin infusion. This indicates that leptin is involved in the long-term energy balance of the body and does not depend on short-term fluctuations of sugar levels in the blood or in the gut. These results suggest that leptin might play a central role in long-term weight control.

    Modulation of Brain Reward Circuitry by Leptin, Stephanie Fulton, Barbara Woodside, 125, Volume 287, Number 5450, 2000, 125 - 128

  10. Equilibrium Regained: From Chaos to Mechanics, Science Next Article Bookmark and Share

    The original meaning of the Greek word "Chaos" was that of emptiness and absence of any order or structure. The picture of a gas at thermal equilibrium, i.e. a state that it will take on eventually in an isolated container if it is left by itself is a good approximation of that original form of chaos. It is quite different from the concept of deterministic chaos that has entered main stream science about twenty years ago and that is full of structures and fractal patterns. An old question for some theoreticians was if it is possible to "go-back" to an equilibrium type of chaos if one starts off with a deterministic, non-linear dynamical systems. For a few cases that transition could be rigorously proven for instance in the case of Sinai's billiard. Other examples that are studied numerically often suffer from the problem that tiny islands of stable order survive the onslaught of chaos. They can lead to trapping regions that keep the system from reaching equilibrium for a long time.

    Some of the earliest numerical attempts to tackle that problems, the Fermi-Pasta-Ulam model, took place at a location that traditionally hosted the fastest computers in the world, the Los Alamos National Laboratory. This tradition is continued in a recent attempt to bring chaos back to equilibrium:

    "Statistical mechanics provides a powerful method for understanding systems at or near equilibrium. Egolf now shows that a theoretical system far from equilibrium, a chaotic, coupled-map lattice, can display equilibrium-like properties. The length scales associated with chaotic behavior in this system are much smaller than those used in the averaging processes needed to recover macroscopic properties. Thus, a dissipative chaotic system, observed on a sufficiently coarse scale, can recover features associated with equilibrium, such as Gibbs distributions, ergodicity, and detailed balance."

    Equilibrium Regained: From Nonequilibrium Chaos to Statistical Mechanics, David A. Egolf, Science, Volume 287, Number 5450, 2000, 101 - 104

  11. Controlling Monostability, Physical Review Letters Next Article Bookmark and Share

    The most of complex dynamical systems are multistable. This means that for the same values of parameters, the system state may be either chaotic or regular (periodic). Such a phenomenon appears to be common for a variety of complex systems: electronic circuits, lasers, geophysical models, mechanical and biological systems. An important problem of controlling these multistable systems is to device a mechanism, which can make the system jump from one of the coexisting states to a regular state where the effect of nonlinearity is minimal. For example, in the medical science, the undesirable states may appear because of various dynamical diseases of the brain, such as, Parkinson's disease and epilepsy. There, the objective would be to make the system jump from those undesirable states to a normal state. Practically, it is not often possible to change the system parameters and one must consider an external control, which would lead to the transition from one state to the another. Apparently, a proper change in initial conditions might be appropriate in this situation. Experimentally this can be realized in the form of a short external impact. However, the probability that the system hits into a coexisting basin of a given state, depends strongly on the phase and amplitude of the external force. In medical practice a short-lived external force is used for the defibrillation of a heart. A high voltage impact sometimes allows the heart to change its state from chaotic to regular one. Unfortunately, it does not happen always if the instant of impact (phase) and the amplitude of the voltage are not properly chosen. The situation would be even more complicated if sufficient information about the true nature of multistability were not available, very often due to the dearth of a good theoretical model.

    Pisarchik and Goswami offer another approach, which allows annihilation of one of the coexisting states, so that the system jumps to the remaining state. In the earlier mentioned method, a short strong external impact just switches the system from one stable state to another. Then the system may stay on the selected attractor until some instability or noise switches the system back to the previous attractor or to different state (in case of multistability). The new method implies the application of slow small harmonic perturbations with properly chosen amplitude and frequency to the available system parameter. This makes the system a little different from the unperturbed system so that the new system does not already have the undesirable state, i.e. becomes monostable.

    In spite of the simplicity of the method, the physical mechanism is rather complicated. Numerical simulations and experiments with a laser suggest that a periodic modulation to one of the system parameters can make a periodic state chaotic via a period-doubling route at a much smaller control frequency, where the original periodicity acts as a carrier. Notice that no qualitative change of the behavior would have occurred if the value of the system parameter were increased by the same magnitude as that of the control amplitude but without periodic modulation. In a monostable system a slow parameter modulation destabilizes a periodic orbit in a sense that the negative leading Lyapunov exponent increases approaching zero. In the presence of another stable attractor, the former attractor looses its stability and the system switches to the remaining stable state. These results may have several applications from the viewpoint of a control of bistable systems. For example, in the case of epilepsy or Parkinson's disease, a slow periodic modulation to one of the important physiological parameters (e.g., by a variation of magnetic or electric fields applied to the head) may annihilate the disease state. Some medical experiments can be interpreted in the frame of the attractor annihilation (for instance, experiments on fluctuations in tremor and respiration of patients with Parkinson's disease.

    Contributed by: A. N. Pisarchik

    Annihilation of one of the coexisting attractors in a bistable system, A. N. Pisarchik and B. Goswami, Physical Review Letters (2000) (accepted for publication).


  12. Information Rules, Perspectives on Business Innovation Next Article Bookmark and Share

    Hal Varian and Carl Shapiro discuss their book Information Rules: A Strategic Guide to the Network Economy and some general principles of "information economy" where "the costs of production are so low that the effects of high fixed costs and low marginal costs are sharpened or accentuated". One consequence of that is a "strategy for price discrimination or dissociating the prices charged from the costs of production and simply charging each customer a price that he is willing to pay. " A similar strategy is already in place for airline tickets: "The marginal cost of putting someone in an empty seat on that plane is next to nothing -maybe the cost of a few bags of peanuts and pretzels."

    Another phenomenon that is not novel but takes on new extremes is the "lock-in" of customers, "the result of hidden or unanticipated costs of switching from one technology or brand to another." One example is "the ink jet printer. These printers are selling at incredible prices, $150 to $200 for very high quality equipment that looks like a great deal. Then the first ink cartridge runs out and you find that the next one is going to cost you $60 -for a $150 printer." Creating "lock-in" is presumably also at the basis of the success of Microsoft and VHS video format as well as the e-commerce custom of giving away information goods and services for free initially until the customer is locked in.

    Software patents is another emergent strategy that gives an advantage to companies who focus on getting rather unspecific patents instead of going through the more expensive process of detailed software development and testing. All the basic concepts of the information economy network effects, lock-in, positive feedback, and switching costs are all naturally described in the concept of complex adaptive systems.

    Information Rules: A Conversation with Carl Shapiro and Hal Varian, Ernst & Young Center for Business Innovation, Perspectives on Business Innovation, Issue 3

    Information Rules : A Strategic Guide to the Network Economy ,by Carl Shapiro, Hal R. Varian , Harvard Business School Press, 1998


  13. The Predictors, Book Review Bookmark and Share

    I felt cheated. I picked up the book about the highly publicized but inscrutable Prediction Company expecting to learn how a clever group used complexity to crack market codes. And found no evidence, no experiments tried and succeeded or failed, nothing that could be repeated in any scientific sense of confirmation. But I did find an entertaining tale of a quest by a couple of people I knew only slightly engaging in a journey similar to one I had taken.

    Complexity should fit the market model almost exactly. If markets are not, with their rush of information and adaptive agents (us) running around satisfying themselves, nothing else is. But saying that complexity is a way of thinking about markets and as a source of sympathetic metaphors is one thing. Trying to use complexity to develop hard models that can predictably beat the markets is another.

    The attraction of using quantitative methods for market analysis has been popular since the late 1960's when academics offered insightful notions about how markets behave. The aftermath of a market crack, post-1967, always seems to sharpen the minds for alternatives of "better ways." And academics were unscathed by dismal performance measures as the nifty-fifty moved into the dog house.

    But these quantitative measures were very crude by most statistical standards. Even though they worked, it was generally agreed, as the author attributes to one of the books commentators, they were the Model A's of an emerging industry. Mostly they were addition, subtraction, multiplication and division and very little of division.

    A form of elitism developed among the quants and academics that the tools, crude as they were, worked because the rest of the market actors were not very bright. Maybe it could be that all one had to do was throw all the market data into a big machine, search for all the correlations that would emerge and assume that this "research" would remain stable enough in the future to produce systematic, predictable profits. The principal founders of Prediction Company, Doyne Farmer and Norman Packard were susceptible to this temptation.

    At first these energetic scientists wanted a different kind of company, sort of a commune dedicated to demonstrate superiority and produce funds to support more research. In the end, the firm structure and behavior seem little different than any other firm organized in the money business in this heady period.

    The book implies that three or four years of research failed to produce any stable results. However, Predication succeeded in obtaining ever more funding from well capitalized sources who wanted to believe that contemporary complexity methods would be the alchemy of the day. There were little other major research paths going on in investments that offered even the promise of an edge. The book describes the promotional work done by the founders and a handful of colleagues on a stream of investors who arrived wanting to be sold. And they were.

    Throughout the inevitable crises of company startups, the founders manage to take long vacations, often at inaccessible places. The conflict between wanting their independence and making a financial killing was also in play. And the ability to back test, to make the data speak (I cannot resist one of my favorite quotes from "How to Lie With Statistics"...."If you torture the data long enough, it will confess to anything.") and to solve the inevitable operational problems of dealing with expensive security settlements, half holidays in Hong Kong and the like, were all exciting elements in the story.

    You will like the heroes although you will not know what they did except shake the money tree for investment in their company. You will empathize with their internal struggles between academe and commerce. And you will learn about derivatives, forex and market structure.

    And you will conclude that the question the Predicators asked themselves five years ago...could complexity be used to make money in markets, remains a uncertain, challenging and worthy pursuit. It is my hope that these new entities who rely on the inherent open system characteristics of complexity will be more forthcoming in sharing their results in the spirit of the field. The prospect of turning lead pencils into gold money may be a driving force for some, for others it is a test of drilling complexity down to specific, testable applicatioms.

    Contributed by Dean Le Baron

    The Predictors by Thomas A. Bass, Henry Holt & Company, Inc, 1999


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