Optimality and Robustness of the English Auction

In Milgrom and Weber's (1982, Econometrica50, 1089–1122) “general symmetric model,” under a few additional regularity conditions, the English auction maximizes the seller's expected profit within the class of all posterior-implementable trading procedures and fails to do so among all interim incentive-compatible procedures in which “losers do not pay.” These results suggest that appropriate notions of robustness and simplicity which imply the optimality of the English auction for a risk-neutral seller must impose “bargaining-like” features on the set of feasible trading mechanisms. Journal of Economic Literature Classification Numbers: D44, D82.     

Influence of decision styles on use of decision models

This article discusses how the “decision style” of an administrator influences the adoption and use of particular decision models. Several “interactive” and “analytical” decision models often used to guide decision making are described and critiqued to point out their virtues and deficiencies. Propositions are suggested that contend that “systematic,” “judicial”, “speculative”, and “intuitive” styles have clear-cut preferences for a particular decision model. This model seems to be used, even when another would be more suitable. Effective decision makers are postulated to adapt their styles, or at least to see the benefits of different styles. Mixed-mode models are proposed that seem to simulate the behavior of successful decision makers.     

Can Japan succeed in “Chigyo-ka” (intelprise-formation)?

There are two aspects in today's information revolution that started in the late 1970s. The first is an aspect referred to as “the third industrial revolution,” which triggers the transition to the “21st century system of Industrialization.” The information revolution in this sense brings the creation of new “breakthrough industries (new multimedia industries).” And the second aspect of the information revolution possesses the characteristics of both a technological revolution and a social revolution and brings about the arrival of the third phase of the historical evolutionary process of the modern civilization, which proceeds through three phases, namely “militarization, industrialization, and then informatization.”If the bearers of modern industrialization are a “group of enterprises” that have been engaged in the race in order to gain “wealth” (generalized means of exchange/exploitation power), and if these enterprises' activities have been exercised in the world market where their products have been sold, then it is appropriate to call the bearers of informatization a “group of intelprises.” They will be engaged in the race to gain “wisdom” (generalized means of persuasion/induction power), then stages of their activities can be called a “global intelplace” where “sharables,” that is, information and knowledge, will be disseminated. And now, toward the 21st century, the third phase of modernization, which can be called the “informatization/intelprise formation” or the “wisdom game” (intellectualism), is about to begin.Japan's “ie society (a society based on the ie principle—literally, it means “house” but here it is interpreted as cultural principle for organizing a society), which has been going through the process of evolution on the Japan Archipelago, has developed a network-based organization with little stratification within its infrastructure. In this sense, Japanese society can be characterized as a “network-oriented society” in which intelprises and an intelplace in the broad sense have functioned as the essential components of the society since Middle Ages. In general, an intelplace and intelprises that operate actively within this framework serve as the flexible bases for different types of social relations and institutions, such as states and markets and eventually integrate these into the society to a certain extent. In fact, it took place quite regularly during the modernization “in the narrow sense,” or Westernization of Japanese society after the Meiji Restoration. There exist some problems, however. Some of the characteristics found in Japanese society may become obstacles to activities aimed at the sharing and promotion of information and knowledge in the global intelplace and Japanese participation in the “wisdom game.” Badly needed are serious efforts for Japanese intelprise-formation to reduce these obstacles as much as possible.     

The man-machine interface

The basic objective of this article is to define a composite measure of human capabilities that could also be used to measure the “skill” requirements of various manufacturing tasks. In the course of our research, however, we have come to the conclusion that most human workers (at least in the “semiskilled” categories) are not employed for their manual skills, or dexterity, but for a different purpose. Although our basic objective remains unchanged, our research focus has shifted to the emerging competition between human workers as machine process controllers in certain highly engineered environments, and the use of sensor-based, computerized systems for the same purpose.     

The ghost of financing gap: testing the growth model used in the international financial institutions

The Harrod–Domar growth model supposedly died long ago. Still today, economists in the international financial institutions (IFIs) apply the Harrod–Domar model to calculate short-run investment requirements for a target growth rate. They then calculate a “financing gap” between the required investment and available resources and often fill the “financing gap” with foreign aid. The financing gap model has two simple predictions: (1) aid will go into investment one for one, and (2) there will be a fixed linear relationship between growth and investment in the short run. The data soundly reject these two predictions of the financing gap model.     

On determining the future impacts of research and development solutions

The concept of a “forecasting graph” is used to develop answers to questions concerning the achievement of scientific and technological developments, the required time, estimates of manpower, equipment, and finacial resources for alternative pathways.     

At the crossroads of “futurism” and “prospective”: Towards a Canadian synthesis?

North American “future studies” and the French concept of “prospective” have been integrated to provide the basis for an attempted “Canadian Synthesis” in the approach developed by the Montreal-based think-tank, the Gamma Institute. In this paper the founding president of Gamma outlines the four stages of the approach in a conceptual framework entitled the “Chronospace” and illustrates its applicability by referring to some of Gamma's projects in the last 12 years.     

A model of “coupled” technology transfer : A logistic curve approach

This article presents a mathematical model relating to the technology transfer problem. The origin of the problem stems from the existing trade-offs between the strategies of “technological progressiveness” and “static efficiency” employed by firms or countries defined as “leaders” and “followers,” respectively. The formulation of the model is based on the assumption that the technological development of a firm or a country follows a logistic growth curve when related to a specific technology. During the process of a “coupled” technology transfer, the development of the follower changes and its behavior is described by a first order nonhomogenous deferential equation. Different scenarios of the “coupled” technology transfer between the leader and the follower are being discussed.     

A Primer on Logistic Growth and Substitution: The Mathematics of the Loglet Lab Software

This article describes the mathematics underlying the Loglet Lab software package for loglet analysis. “Loglet analysis” refers to the decomposition of growth and diffusion into S-shaped logistic components, roughly analogous to wavelet analysis, popular for signal processing and compression. The term “loglet” joins “logistic” and “wavelet.” Loglet analysis comprises two models: the first is the component logistic model, in which autonomous systems exhibit logistic growth. The second is the logistic substitution model, which models the effects of competitions within a market. An appendix describes the current status of the software.     

Exact arbitrage, well-diversified portfolios and asset pricing in large markets

For a market with an atomless continuum of assets, we formulate the intuitive idea of a “well-diversified” portfolio, and present a notion of “exact arbitrage”, strictly weaker than the more conventional notion of “asymptotic arbitrage”, and necessary and sufficient for the validity of an APT pricing formula. Our formula involves “essential” risk, one based on a specific index portfolio constructed from factors and factor loadings that are endogenously extracted to satisfy an optimality property involving a finite number of factors. We illustrate how our results can be translated to markets with a large but finite number of assets.     

Results on the bias and inconsistency of ordinary least squares for the linear probability model

This note formalizes bias and inconsistency results for ordinary least squares (OLS) on the linear probability model and provides sufficient conditions for unbiasedness and consistency to hold. The conditions suggest that a “trimming estimator” may reduce OLS bias.     

On optimality in collective institutional choice

Conditions are investigated under which democratic choice of the division of land between collective and “private” use and of the distribution of collective income between “needs” and “work” payments will produce a Pareto-optimal land allocation and optimal collective labor incentives. Sen's optimal rule for the degree of “needs” distribution is found to result from self-interested voting on this parameter when the distribution of labor inputs is unskewed or when votes are weighted by labor contributions. This in turn increases the optimality of land allocation, which can be further improved by a simple rental scheme. J. Comp. Econ., Dec. 1981, 5(4), pp. 392–403. Brown University, Providence, Rhode Island.     

Limiting the system and reshaping lifestyles: Solving unemployment by social and technical innovations

We have become used to seeing crises in growth, unemployment, and inflation as purely economic problems that can be overcome by suitable economic and political means. One basic assumption of the following reflection however, is that the above might be only half the picture. To paraphrase a formula of Friedrich Engels, the concern is not “in the first and last instance” with questions of the “economic basis,” but with questions of the current images of human kind, social milieus and lifestyles. Solutions will thus tend to lie in social innovations and reorganization of the System insofar as they complement the new lifestyles.     

Optimal redistricting under geographical constraints: Why “pack and crack” does not work

We show that optimal partisan redistricting with geographical constraints is a computationally intractable (NP-complete) problem. In particular, even when voter's preferences are deterministic, a solution is generally not obtained by concentrating opponent's supporters in “unwinnable” districts (“packing”) and spreading one's own supporters evenly among the other districts in order to produce many slight marginal wins (“cracking”).     

The mature region building a practical model for the transition to the sustainable society

The demographic shift from the northeast to the “sunbelt” has resource implications that will span several decades. Early in the 21st century, today's “boom” regions will be significantly affected by declining petro-energy and an aging population and infrastructure. The northeast is now in an analogous situation.The transition to the sustainable society is unlikely to occur in the sunbelt while the boom is on, but the need for sustainability is immediate in the northeast. For the mature industrial states, economic survival is tied to the level of self-sufficiency they can achieve in the 1980s and 1990s. The efforts toward greater regional sustainability can offer practical models to regions yet to encounter cyclical decline. The transition to the sustainable society will be built on the aggregated efforts of regions to bring their unique circumstances into balance.New England is presented as the case study of a mature region, no longer growing, but embarking in measurable ways on a path toward regional sustainability. The model focuses on the recapture of resources that have traditionally sustained the region—the landscape, the 19th century settlement pattern, and the educational establishment.The inquiry is directed to practical efforts now being made by the private sector to readapt these traditional resources and increase New England's self-sufficiency. The paper will examine the significance of New England private sector endeavors, for effects on other regions, demonstration value and transferability, and conditions that merit continuing investigation as models for the transition to the sustainable society.     

The elusive Phillips curve

The empirical evidence that has accumulated over the past twenty years for major countries, and especially the United States, Canada, and the U.K., suggests three distinct “phases” for the Phillips curve. In the “early” phase the coefficient on the unemployment variable was correctly signed and statistically significant; in the “middle” phase, as further studies were made and the data period extended, the unemployment coefficient tended to become numerically smaller and often to be statistically insignificant; in the “late” phase, as yet more studies accumulated and the data period was extended into the seventies, the unemployment coefficient was sometimes perversely signed and also statistically significant. This paper offers a possible theoretical interpretation of this phenomenon. The theoretical analysis is supplemented with some empirical simulations.     

Imitation processes with small mutations

This note characterizes the impact of adding rare stochastic mutations to an “imitation dynamic,” meaning a process with the properties that absent strategies remain absent, and non-homogeneous states are transient. The resulting system will spend almost all of its time at the absorbing states of the no-mutation process. The work of Freidlin and Wentzell [Random Perturbations of Dynamical Systems, Springer, New York, 1984] and its extensions provide a general algorithm for calculating the limit distribution, but this algorithm can be complicated to apply. This note provides a simpler and more intuitive algorithm. Loosely speaking, in a process with K strategies, it is sufficient to find the invariant distribution of a K×K Markov matrix on the K homogeneous states, where the probability of a transit from “all play i” to “all play j” is the probability of a transition from the state “all agents but 1 play i, 1 plays j” to the state “all play j”.     

Topological games at Princeton, a mathematical memoir

The games of the title are “Nash” (or Hex), “Milnor” (or Y), “Shapley” (or Projective Plane) and “Gale” (or Bridg-It) all of which were discovered (or re-discovered) in Princeton in 1948–1949. After giving the basic topological connections, I will discuss more recent ramifications related to computational complexity theory. A recurrent theme will be non-constructive proofs, or how we can know something can be done without having the slightest idea of how to do it.     

Human capital depletion, human capital formation, and migration: a blessing or a “curse”?

We specify conditions under which a strictly positive probability of employment in a foreign country raises the level of human capital formed by optimizing workers in the home country. While some workers migrate, “taking along” more human capital than if they had migrated without factoring in the possibility of migration (a form of brain drain), other workers stay at home with more human capital than they would have formed in the absence of the possibility of migration (a form of brain gain).