Empirical implications of mathematical functions used to analyze market penetration of new products—Cigarettes case study

Three types of S-shaped growth curves—the logistic, the lognormal, and the Gompertz—are widespread in the literature on analysis of market penetration of new products/processes. This article discusses the mathematical properties of these function in the light of their empirical implications, such as location of the point of maximum growth rate, the symmetry/asymmetry of the growth rates around that inflection point, and the ease of estimation (linear and nonlinear regressions). The empirical economic expectations cannot specify these phenomena a priori so that a less restrictive function should be preferred. Such a function is the Gompertz function. It is, therefore, applied to the study of market penetration of filtered and menthol cigarettes and shown that the empirical verification vindicates the theoretical postulates of that function. The empirical estimates are also closer to actual estimates of growth rates of adoption.     

Market power of firms and exchange-rate fluctuations

This paper explores the potential of firms to restrict industry outputs (market power) in oligopolistically organized markets where domestic firms compete with foreign ones. Within a stochastic price-setting supergame framework, market power is shown to be lower in general with flexible exchange rates for the following reasons. (i) The conditions that the fully collusive outcome—oligopolists maximizing joint profits — is sustainable in equilibrium become stronger if the exchange rate fluctuates, provided that fluctuations are sufficiently small. (ii) Even if full collusion can be sustained, industry outputs will be higher on the average with flexible than with fixed exchange rates.     

Trade prices and supply in the UK economy

Current account imbalances are a major source of instability in the world monetary and trading system. Measures to correct these imbalances have largely involved adjustments to exchange rates. In the international trade literature, when the current account is in deficit, the Marshall-Lerner condition is sufficient for a successful devaluation. However, this partial equilibrium condition — apart from being based on the assumption that supply elasticities are infinite — abstracts from how the domestic economy responds to the change in relative prices. In this paper we develop a model of price and output determination in an open economy with imperpectly competitive markets, and draw a distinction between goods which are exported and those which are supplied to the domestic market. This means that we have to determine jointly both export prices and the domestic price of house sales. We show that as long as there is no money illusion in the labour market a fall in the nominal exchange rate raises domestic and export prices proportionally and leaves trade volumes unaffected. However, shifts in domestic absorption relative to overseas demand — by changing relative prices — cause shifts in the relative supply of exports and domestically sold goods and affect the trade balance. Thus fiscal and monetary measures directed towards reducing domestic absorption are more likely to be successful in correcting current account imbalances than exchange rate depreciation.     

Worker heterogeneity and labor market volatility in matching models

Shimer demonstrated that aggregate productivity shocks in a standard matching model cause fluctuations in key labor market statistics—such as the job-finding rate, the vacancy/unemployment ratio, and the unemployment rate—that are too small by an order of magnitude [Shimer, R., 2005. The cyclical behavior of equilibrium unemployment and vacancies. American Economic Review 95 (1) 25–49]. This paper shows that when the standard model is extended to allow for worker heterogeneity, it exhibits considerably greater volatility. In the model, marginal workers, whose productivity only slightly exceeds the value of their alternative use of time, constitute a disproportionate share of unemployment on average, and that share rises when aggregate conditions deteriorate. These composition effects cause firms to open fewer vacancies during downturns.     

Conjectural-variation models and supergames with price competition in a differentiated product oligopoly

Conjectural-variation models (CV models) are popular in empirical research as they infer the degree of market power from real data. Theorists of industrial organization, however, disapprove of them for lack of theoretical foundation arguing that dynamic reactions are forced into a static model with the strategy space and time horizon only loosely defined. The presented model follows an idea put forward by Cabral (1995) and demonstrates that the CV model can be interpreted as the joint-profit-maximizing steady-state reduced form of a price-setting supergame in a differentiated product market under optimal punishment strategies. For the symmetric two-firm case the CV parameter is shown to cover the full range of possible outcomes — from Bertrand competition to joint unconstrained monopoly — depending on the degree of product differentiation, market growth, bankruptcy risk, and the discount rate. For the asymmetric-cost case numerical calculations are provided.     

Solar energy market penetration models: Science or number mysticism?

The forecast market potential of a solar technology is an important factor determining its R&D funding. Since solar energy market penetration models are the method used to forecast market potential, they have a pivotal role in a solar technology's development. This paper critiques the applicability of the most common solar energy market penetration models. It is argued that the assumptions underlying the foundations of rigorously developed models, or the absence of a reasonable foundation for the remaining models, restrict their applicability.     

An analysis of the effect of the economic situation on modeling and forecasting the diffusion of wireless communications in Finland

In this paper, the diffusion of wireless communications in Finland is studied. The objectives are to find factors which have affected the diffusion process and to forecast the diffusion of wireless communications in Finland. The diffusion process is based on the epidemic diffusion theory. The data consists of annual wireless subscribers of networks based on Nordic Mobile Telephone (NMT) and Global System for Mobile Communications (GSM) standards in 1981-1998. The data is fitted into the logistic model by means of nonlinear least squares after writing two parameters of the logistic model as functions of certain variables. The results show that the economic situation has affected the relative growth rate, and that the wireless network coverage has affected the number of potential adopters. By extrapolating the logistic model, a forecast with a confidence interval of wireless communications subscriber rates in Finland is made. The forecast shows that the final penetration rate will be some 91.7% in 2009. The model predicts the actual figures of year 1999 very accurately. Finally, the time derivatives of the diffusion process are analyzed; they clarify the effect of economic situation on the diffusion.     

Monetary Regime Choice and Optimal Credit Rationing at the Official Rate: The Case of Russia

ABSTRACT

Stabilizing monetary policy in a small open economy is constrained by the open economy trilemma. In this paper, we investigate whether foreign exchange market interventions and the Central Bank’s credit rationing at the official rate (CROR) may soften this constraint and improve the results of monetary policy for different monetary regimes. We construct a dynamic stochastic general equilibrium (DSGE) model appropriate for analyzing the forward-looking behavior of households facing non-zero probabilities of losing access to financial market and CROR. We have found significant credit rationing in the quarterly Russian data of 2001:Q1–2014:Q2. The probability of losing access to financial market and the probability of CROR are estimated as 22% and 66%, respectively. Using Russian data of 2001:Q1–2014:Q2 we demonstrate that CROR provoked forward-looking activity in financial market, which led to more Ruble devaluation in the crises of 2008–2009. It improved poor countercyclical performance of two Russian monetary policy rules, whereas made small effect on welfare. Welfare maximization exercises reveal a tradeoff between low-inflation and high-welfare solutions and favor of a floating exchange rate regime. We found the optimal value of the probability of CROR in both exchange rate-based and Taylor rule-based models but resulting improvement in welfare is very small.     

Regulatory effects on the market penetration and capacity of reliability differentiated service

This paper investigates the effects of alternative forms of regulation on the market penetration and capacity that are determined by a profit-maximizing monopolist providing reliability differentiated service to consumers. Both price cap and rate of return regulation lead to larger capacity and market penetration than in the absence of regulation. These forms of regulation also lead to larger consumer surplus than in the absence of regulation. A minimum reliability standard reduces market penetration, and this reduction may lead to a decrease in consumer surplus.      

Asian real interest rates, nonlinear dynamics, and international parity

This study tests for nonlinearities in the real interest differentials of four South East Asian economies with respect to Japan and the United States. The logistic and exponential smooth transition regression models are applied to monthly data over the sample period 1977M1–2000M3. There is evidence of nonlinearities in Asian real interest differentials where nonlinearities are often captured by the logistic smooth transition autoregressive (STAR) model. The extent of nonlinearities varies across the sample with the Singapore–Japan and Thailand–Japan differentials exhibiting the sharpest transition from one regime to another. Large shocks to real interest parity (RIP) are more likely to lead to the reestablishment of parity at a faster rate than small shocks. Modeling the nonlinear stochastic dynamics of RIP can thus be useful for policymaking purposes in recovering information on monetary and financial crises.     

Central banking,free banking,and financial crises

A Summary View In the Keynesian view, the central bank is a part of an extramarket remedy to a market malady. Investment markets are inherently unstable; government control of the economy's money supply is an important element in macroeconomic stabilization policy. The case against central banking—and for free banking—reverses the characterization of both remedy and malady. Free banking is a part of a market remedy to an extramarket malady. Even this stark reversal understates the case for free banking. It would remain valid even if we take the dramatic and chronic fiscal irresponsibility of the Treasury as given. Periodic crises that will inevitably occur in such a debt-ridden economic environment would be more ably countered by the market forces of free banking than by the policy moves of a central bank. But the extent of the Treasury's fiscal irresponsibility is itself dependent upon whether the Treasury can count on an accommodating central bank. Free banking limits the scope of this potential source of instability while at the same time enhancing the market's ability to deal with whatever instabilities that may persist.     

Globally evolutionarily stable portfolio rules

The paper examines a dynamic model of a financial market with endogenous asset prices determined by short-run equilibrium of supply and demand. Assets pay dividends that are partially consumed and partially reinvested. The traders use fixed-mix investment strategies (portfolio rules), distributing their wealth between assets in fixed proportions. Our main goal is to identify globally evolutionarily stable strategies, allowing an investor to “survive,” i.e., to accumulate in the long run a positive share of market wealth, regardless of the initial state of the market. It is shown that there is a unique portfolio rule with this property—an analogue of the famous Kelly rule of “betting your beliefs.” A game theoretic interpretation of this result is given.     

Electric utilities : Key to capitalizing the energy transition

The United States is moving with unexpected speed toward a sustainable energy system based on highly efficient energy use and appropriate renewable sources. The free market, though imperfect, is accomplishing the remarkably well. However, institutional barriers are causing underinvestment in money-saving energy options. This retards the energy transition far below an economically efficient rate, prolonging dependence on dwindling fuels.Each year, electric utilities spend about the same amount of money that efficiency and renewables are lacking—some $25 billion—to build giant power stations which cannot compete in the energy service market. This federally supported misallocation of capital is bankrupting the utilities and threatening the stability of the whole financial system. As long as half of America's energy investment goes into uneconomic power plants, their cheaper rivals will be smothered.If, however, utilities were to invest only in the best energy buys (as several states already mandate), power plants would no longer be built. This “least-cost test” should be coupled with a program of utility loans, properly structured on proven principles. Such loans would enable utility customers to buy any energy option that costs less than new power plants; give all energy users fair and equal access to capital; offer an escape from high energy bills; and rescue utilities from insolvency. Indeed, such a program would automatically transform the utilities from an obstacle into a vehicle for financing the transition to sustainability. The benefits of a secure, affordable, equitable, and environmentally benign energy system could then be achieved before the fossil-fuel bridge to it has been burned. Electric utilities' adaptation could also help guide other beleaguered institutions toward sustainability.     

The diffusion of successive generations of a technology: A more general model

In many cases of technological development, successive generations of a technology evolve, each more efficient than its predecessor. It has been assumed when modeling and forecasting the adoption of these technologies that the market reaction to each generation was similar. Using the terminology of the Bass model, this similarity is encapsulated in the assumption that the coefficients of innovation and imitation are constant. New data for two and three generations of mobile telephone technology from eleven countries are modeled. The modeling framework used—simultaneous estimation for successive generations using a full information maximum likelihood procedure—demonstrates that, in most cases, the hypothesis of constant coefficients can be rejected. Use of a model with changing coefficients is shown to considerably improve forecasting performance. These results were reinforced by analysis of data for four generations of IBM mainframes.     

DRAMs, fiber and energy compared with three models of market penetration

When a new technology is introduced in the market, this technology generally follows an S-shaped curve, especially if measured on a relative (market share) basis. Marchetti and Nakicenovic and Norton and Bass have modeled the multivariant case of various technologies introduced at different times. A new, simple and flexible model has been proposed based on potential penetration. Potential penetration is penetration on the assumption that no other new technology will enter the market. In a stable competitive environment, potential penetration curves are typically positively sloped S-curves. The new model gives a good fit in markets with a limited number of competitors, which are capable of totally cannibalizing previous generations of technologies. It also fits well with markets with many competitors in a competitive equilibrium situation. Examples are the Dynamic Random Access Memory chips (DRAMs), fiber and energy market. The new model features fewer variables compared with existing models and can readily be adapted to technological processes with time varying parameters, which is particularly important in volatile competitive markets.     

Counting combinatorial choice rules

I count the number of combinatorial choice rules that satisfy certain properties: Kelso–Crawford substitutability, and independence of irrelevant alternatives. The results are important for two-sided matching theory, where agents are modeled by combinatorial choice rules with these properties. The rules are a small, and asymptotically vanishing, fraction of all choice rules. But they are still exponentially more than the preference relations over individual agents—which has positive implications for the Gale–Shapley algorithm of matching theory.     

Multinationals and the gains from international diversification

This paper employs mean–variance spanning tests to examine the diversification potential of multinational firms and foreign market indices from the perspective of investors in the G7 countries over the 1984–1995 period. We find evidence that multinational corporations may have provided diversification benefits for investors in Germany and the United States. We find that the addition of foreign market indices to a domestic portfolio—inclusive of multinationals—provided substantial diversification benefits in all countries. The economic importance of the shift of the portfolio frontier varied considerably across markets.     

Capital–skill complementarity and the immigration surplus

We build a neoclassical growth model with overlapping dynasties and capital–skill complementarities to evaluate changes in immigration policy. Calibrating the model using US data, we quantify the differential effects of skilled and unskilled immigration on factor returns and on the welfare of different sectors of the population. An influx of high-skilled immigrants lowers the wages of skilled workers, raises the wages of unskilled workers, and because of the relative complementarity between capital and skilled labor, substantially raises the rate of return to native-owned capital. By contrast, an influx of unskilled immigrants produces an opposite effect on wages, and has only a negligible effect on the return to capital. Because of capital–skill complementarity, an increase in the number of skilled immigrants generates an immigration surplus—the overall welfare benefit accruing to the native population—that is approximately ten times larger than the immigration surplus generated by an identical increase in the number of unskilled immigrants. This differential welfare effect is far higher than can be accounted for by the disparity between the productivities of each type of worker.     

The value of commitment in contests and tournaments when observation is costly

We study the value of commitment in sequential contests when the follower faces small costs to observe the leader's effort. We show that the value of commitment vanishes entirely in this class of games. By contrast, in sequential tournaments—games where, at a cost, the follower can observe the effectiveness of the leader's effort—the value of commitment is preserved completely provided that the observation costs are sufficiently small.     

The market response to product safety litigation

This paper examines the stock market impact of 29 product liability lawsuits reported in the Wall Street Journal from 1970–1985, an additional series of Agent Orange events, and a set of regulatory events involving product risks. If these events and the costs associated with them were fully anticipated, then there would be no effect on the stock market price. Adverse stock market effects increase if the event involves a product liability action, bodily injury, or a court decision. Lengthy newspaper coverage and initial reports also have a strong effect. If there are multiple defendants, the market cost per firm is reduced. One widely publicized good news event—the final Agent Orange decision—led to a dramatic increase in stock prices.