Some results on the existence of utility functions on path connected spaces

This paper concerns the existence of utility representations for preferences defined on a path connected space X. This includes any convex set. A classical result of Eilenberg (1941) proves the existence of utility representations when the consumption set is connected and separable. In an infinite dimensional space the above result may not be useful, because we lack, in general, the separability of the space. The non-separable spaces L^∞ and ca(K) are typical examples in mathematical economics. In this paper we show that a continuous preference relation ≽, on X has a continuous utility representation if and only if it is countably bounded, i.e., there is some countable subset F of X such that for all x in X there exist y and z in F with y≽x≽z. An easy corollary states that any continuous preference which has a best and a worst point has a continuous representation. We also obtain a convex continuous preference on a Banach lattice that has not a utility representation, because it is not countably bounded.     

The Facts About Small Business and the Real Values of Its 'Life World': A Social Philosophical Interpretation of This Sector of the Modem Economy

Abstract . According to a line of European social philosophers from Marx to Habermas, the development of society is characterized by a process of rationalization, accompanied by alienation and objectification of labor and human relations, and more generally a degradation of what Jürgen Habermashas called the person's “life world.” But the facts about small and medium sized business, as disclosed by empirical investigation, offer a different picture, one of small and medium size enterprises (SME) with a number of attributes associated with social organization on a small scale, of e.g., personality and independence. These can provide a counterweight to its disadvantages and limitations and therefore can be seen as values from a social philosophical point of view. Economically the same attributes make SME vulnerable to the market power and competition of big business. The new technology offers threats to SME, but also opportunities.     

The impact of public regulation on housing quality and on structural changes

This paper represents a theoretical investigation of profit maximizing behavior of a landlord under rent control. The situation envisioned is one that the landlord owns, free and clear, either two housing units ready to merge or one large one ready to convert into two small ones; in each case the units are already in place, such that capital costs are sunk and treated as bygones. Each unit has a technology of production of housing services with a fixed input of quantity of space (shelter) and a variable input of quality, that is affected by physical ageing (non-controllable) and by maintenance (controllable). At starting time t₀, we have a state of quality and a historical state of initial quality Q?_i, at the time the building was built, with the implicit constraint that Q_i(t) < Q?_i, for all t> t₀. The analysis addresses the general question of housing structural changes—conversion or merger—and how these changes are being accelerated under the threat of rent control.     

The optimality of (s,S) inventory policies in the infinite period model*

Summary The infinite period stationary inventory model is considered. There is a constant lead time, a nonnegative set-up cost, a linear purchase cost, a holding and shortage cost function, a fixed discount factor β, 0 < β < 1, and total backlogging of unfilled demand. Both the total discounted cost (β < 1) and the average cost (β= 1) criteria are considered. Under the assumption that the negatives of the one period holding and shortage costs are unimodal, a unified proof of the existence of an optimal (s.S) policy is given. As a by-product of the proof upper and lower bounds on the optimal values of s and S are found. New results simplify the algorithm of Veinott and Wagner for finding an optimal (s, S) policy for the case β< 1. Further it is shown that the conditions imposed on the one period holding and shortage costs can be weakened slightly.     

Project financing,entrepreneurial activity,and investment in the presence of asymmetric information

We analyze a two-period signaling model in which a representative entrepreneur in a regional economy has a project that generates a random cash flow and that requires investment that the entrepreneur raises from a competitive market. The project's type is known to the entrepreneur but not to the investors. Further, the entrepreneur is restricted to issuing debt only or equity only. We first show that there is no separating perfect Bayesian equilibrium (PBE) contract involving the issuance of equity only, that there exists a pooling PBE contract involving the issuance of equity only, and that a debt contract is preferred to an equity contract by our entrepreneur. Next, we suppose that the entrepreneur incurs a non-pecuniary cost of financial distress F > 0 whenever he is unable to make a repayment at time t = 1. We provide conditions on F under which a pooling PBE contract with debt exists and a separating PBE contract with debt and equity exists. Finally, we examine whether a high type entrepreneur will prefer a setting with a cost of financial distress (F > 0) or a setting in which there is no such cost (F = 0).     

Degrees of tax indexation and nominal interest rates: Effects of inflation on incentives to save and invest

This paper examines the effects of inflation expectations on nominal interest rates, and incentives to save and invest under partial and complete tax indexation schemes. One would expect that a partially indexed structure would be better than a non-indexed system. However, this is not the case—it reduces the adverse effects of inflation on the incentives to save, but accentuates them on the incentives to invest. Moreover, a change from a non-indexed tax structure to a fully-indexed structure will, ceteris paribus, lead to lower equilibrium interest rates, whereas a switch to a partially indexed system will imply higher rates.

Weighted majoritarian rules for the location of multiple public facilities

We consider collective decision problems given by a profile of single-peaked preferences defined over the real line and a set of pure public facilities to be located on the line. In this context, Bochet and Gordon (2012) provide a large class of priority rules based on efficiency, object-population monotonicity and sovereignty. Each such rule is described by a fixed priority ordering among interest groups. We show that any priority rule which treats agents symmetrically — anonymity — respects some form of coherence across collective decision problems — reinforcement — and only depends on peak information — peak-only — is a weighted majoritarian rule. Each such rule defines priorities based on the relative size of the interest groups and specific weights attached to locations. We give an explicit account of the richness of this class of rules.     

Cointegration Vector Estimation by Panel DOLS and Long‐run Money Demand*

We study the panel dynamic ordinary least square (DOLS) estimator of a homogeneous cointegration vector for a balanced panel of N individuals observed over T time periods. Allowable heterogeneity across individuals include individual‐specific time trends, individual‐specific fixed effects and time‐specific effects. The estimator is fully parametric, computationally convenient, and more precise than the single equation estimator. For fixed N as T→∞, the estimator converges to a function of Brownian motions and the Wald statistic for testing a set of s linear constraints has a limiting χ²(s) distribution. The estimator also has a Gaussian sequential limit distribution that is obtained first by letting T→∞ and then letting N→∞. In a series of Monte‐Carlo experiments, we find that the asymptotic distribution theory provides a reasonably close approximation to the exact finite sample distribution. We use panel DOLS to estimate coefficients of the long‐run money demand function from a panel of 19 countries with annual observations that span from 1957 to 1996. The estimated income elasticity is 1.08 (asymptotic s.e. = 0.26) and the estimated interest rate semi‐elasticity is ?0.02 (asymptotic s.e. = 0.01).     

Contagion of network products in small-world networks

We formulate a model in which agents embedded in an exogenous social network decide whether to adopt a new network product or not. In the theoretical part of the paper, we characterize the stochastically stable equilibria for complete networks and cycles. For an arbitrary network structure, we develop a novel graph decomposition method to characterize the set of recurrent communication states, which is a superset of stochastically stable equilibria of the adoption game presented in our model. In the simulation part, we study the contagion process of a network product in small-world networks that systematically represent social networks. We simulate a generalization of the Morris (Rev Econ Stud 67(1):57–78, 2000) Contagion model that can explain the chasm between early adopters and early majority. Our numerical analysis shows that the failure of a new network product is less likely in a highly cliquish network. In addition, the contagion process reaches to steady state faster in random networks than in highly cliquish networks. It turns out that marketers should work with mixed marketing strategies, which will result in a full contagion of a network product and faster contagion rates with a higher probability.

     

China's Approach to Social Market Economics: The Chinese variant of Market Socialism Seeks to Escape from the Difficulties of Central Command Planning

Abstract . The paradigm of a social market economy provides a rational basis for resolving structural socioeconomic changes, as presently evidenced in the People's Republic of China. China's approach to socioeconomic change, labeled as “Socialism with Chinese Characteristics,” resembles a modified version of Eucken's paradigm of a social market economy.¹ The Chinese paradigm, leaning on that of Walter Eucken, provides for a “limited”free market, which not only accommodates economic growth and change, but which also makes allowance for some degree of human, especially economic freedom, and dignity. Eucken's model is based on a sound institutional and legal framework which he considered to be essential for a viable modern market economy. China's new socioeconomic program is moving the country in this direction. It takes into account people's desire for a useful and Just socioeconomic order (however defined), characterized by stable socioeconomic and political policies and by a flexible price mechanism, to enable them to live a life in dignity, free of economic deprivation.     

The construction of empirical credit scoring rules based on maximization principles

We examine the econometric implications of the decision problem faced by a profit/utility-maximizing lender operating in a simple “double-binary” environment, where the two actions available are “approve” or “reject”, and the two states of the world are “pay back” or “default”. In practice, such decisions are often made by applying a fixed cutoff to the maximum likelihood estimate of a parametric model of the default probability. Following (Elliott and Lieli, 2007), we argue that this practice might contradict the lender’s economic objective and, using German loan data, we illustrate the use of “context-specific” cutoffs and an estimation method derived directly from the lender’s problem. We also provide a brief discussion of how to incorporate legal constraints, such as the prohibition of disparate treatment of potential borrowers, into the lender’s problem.     

Clarence E. Ayres and the Legacy of German Idealism

Abstract . Based on the Clarence E. Ayres (1891-1972) papers at the University of Texas, this study traces the continuity among thinkers such as Kant, Hegel, Veblen, Dewey, and Ayres; the latter was a leading institutional economist following Veblen's death. Publicly acknowledging his intellectual debt to Veblen and Dewey, Ayres drew from these men some idealistic assumptions as well as the historicism that is implicit in his technological determinism or instrumental theory of knowledge. Thorstein Veblen and John Dewey owed a great deal to the philosophical tradition of idealism, regardless of the devotion to naturalism in their systems. The origins of Ayres's technological theory of value are found in Veblen and Dewey writings and back of them the legacy of German idealism. The vital link was a mutual acceptance that freedom was expressed in a cultural and historical form, realized in human activity. It was a process.     

The Single Tax Movement and Progressivism, 1880-1920*

Abstract . Henry George's Single Tax movement and the Progressive movement in the United States were inter-related. After the publication of Progress and Poverty a political movement developed around George. It failed, partly because George was a poor politician although he had proved a master-publicist, partly because he aroused a formidable opposition. Nevertheless the single taxers did contribute to progressive reform a specific plan for manipulating the environment in a Social Darwinistic way. George's philosophy also rejected socialism in favor of a reformed and purified capitalism—perhaps the most important theme in 20th century reform thought in America. Moreover, the Single Tax movement contributed to the democratic reform movement such leaders as Tom L. Johnson, Brand Whitlock, Louis F. Post, Frederic C. Howe, George L. Record, Newton D. Baker and Franklin K. Lane.     

Paid Parental Leave: An Employee Right or Still An Ideal? An Analysis of the Situation in Québec in Comparison with North America

Over recent years, parental leave policy in Canada has evolved quite considerably. Since 2001, Canadian employees have a right to a 1 year paid parental leave; those in the province of Québec have a better paid, more flexible regime. This paper first shows that Québec is somewhat of an exception in the North American context, with its inclusive mode of governance which contributes to positive policies in terms of family and childcare. This is due to a few elements: the recognition of a declining birthrate, but more importantly the significant involvement and actions of women’s advocacy organizations, in the context of an inclusive governance of family policy. We will defend the hypothesis that Québec has adopted a cumulative (or work–family balance) model in the field of work–family relation, while the US and English Canada tend to still resort mainly to a laissez-faire attitude, which to this day has limited employee rights in terms of parental leave, but also in terms of child care.     

Mechanisms that efficiently verify the optimality of a proposed action

The best known achievement of the literature on resource-allocating mechanisms and their message spaces is the first rigorous proof of the competitive mechanism's informational efficiency. In an exchange economy withN persons andK+1 commodities (including a numeraire), that mechanism announcesK prices as well as aK-compenent trade vector for each ofN−1 persons, making a total ofNK message variables. Trial messages are successively announced and after each announcement each personprivately determines, usingprivate information, whether she finds the proposed trades acceptable at the announced prices. When a message is reached with which all are content, then the trades specified in that message take place, and they satisfy Pareto optimality and individual rationality. The literature shows that no (suitably regular) mechanism can achieve the same thing with fewer thanNK message variables. In the classic proof, all the candidate mechanisms have the privacy property, and the proof uses that property in a crucial way. ‘Non-private’ mechanisms are, however, well-defined. We present a proof that forN>K,NK remains a lower bound even when we permit ‘non-private’ mechanisms. Our new proof does not use privacy at all. But in a non-private mechanism, minimality of the number of message variables can hardly be defended as the hallmark of informational efficiency, since a non-private mechanism requires some persons to know something about the private information of othersin addition to the information contained in the messages. The new proof of the lower boundNK invites a new interpretation of the competitive mechanism's informational efficiency. We provide a new concept of efficiency which the competitive mechanism exhibits and which does rest on privacy even whenN>K. To do so, we first define a class ofprojection mechanisms, wherein some of the message variables are proposed values of the action to be taken, and the rest are auxiliary variables. The competitive mechanism has the projection property, with a trade vector as its action and prices as the auxiliary variables. A projection mechanism proposes an action; for each proposal, the agents then use the auxiliary variables, together with their private information, to verify that the proposed action meets the mechanism's goal (Pareto optimality and individual rationality for the competitive mechanism) if, indeed, it does meet that goal. For a given goal, we seek projection mechanisms for which theverification effort (suitably measured) is not greater than that of any other projection mechanism that achieves the goal. We show the competitive mechanism to be verification-minimal within the class of private projection mechanisms that achieve Pareto optimality and individual rationality; that proofdoes use the privacy of the candidate mechanisms. We also show, under certain conditions, that a verification-minimal projection mechanism achieving a given goal has smallest ‘total communication effort’ (which is locally equivalent to the classic ‘message-space size’) among all private mechanisms that achieve the goal, whether or not they have the projection property.     

Systemic analysis of a manufacturing process based on a small scale bakery

The main aim of the article is to present two new innovative concepts of reliability of a functioning manufacturing system in the process of making bread in small-scale bakeries. Reliability is understood as one of the representations of an operator acting on specific streams in time t_o to t. One of these represents the global reliability of a system as a function of parallel action of all the streams of the system in time t_o to t and is denoted as P_g^(t). The second representation of reliability is a scalar value, P_ss It shows a new function of global reliability of a manufacturing process as a product of system stream reliability. In order to plot the flow of the manufacturing process’s global reliability function, we need to perform detailed calculations, computations, and analysis of the differences of individual values in real time, as well as plan an algorithm of the flow of system streams. This needs a lot of effort, translating however, to a detailed picture of the process. In the analysed example, measurements and research revealed an important increase of the value of reliability in a transition from a traditional to a robotised bakery. The article also presents a new concept of the reliability of a technological process, based on the analysis of relations of elements of the following streams: energy, matter, information, time, and finances. It shows the method of specifying streams and the method for defining the reliability of important and supportive relations. Important relations between stream elements are defined as having the reliability value of one in time. Supportive relations bear the reliability within a continuum between zero and one. Important relations are designated based on research, experience, and knowledge. Stream systemic reliability P_ss is a scalar value, i.e. a number from the continuum between zero and one. The P_ss value characterises failure-free operation of the whole system. Its average value in the normative time t_n expresses the efficiency of the manufacturing system. The value P_ss is a quotient of the number of important relation and the sum of important and supportive relations. The formula for P_ss shows the method of optimising the process through the increasing of the number of important relations between the input stream components. The concept has been applied to study the efficiency of operation of a small-scale bakery. Systemic analysis of a bakery allows for important increase in the reliability of baking bread if robotisation has been implemented. The concept of systemic-stream reliability P_ss may be applied to analyse the efficiency of any technological process and optimisation of any manufacturing process.

     

Nonparametric dynamic panel data models: Kernel estimation and specification testing

Motivated by the first-differencing method for linear panel data models, we propose a class of iterative local polynomial estimators for nonparametric dynamic panel data models with or without exogenous regressors. The estimators utilize the additive structure of the first-differenced model—the fact that the two additive components have the same functional form, and the unknown function of interest is implicitly defined as a solution of a Fredholm integral equation of the second kind. We establish the uniform consistency and asymptotic normality of the estimators. We also propose a consistent test for the correct specification of linearity in typical dynamic panel data models based on the _L2$L_2$ distance of our nonparametric estimates and the parametric estimates under the linear restriction. We derive the asymptotic distributions of the test statistic under the null hypothesis and a sequence of Pitman local alternatives, and prove its consistency against global alternatives. Simulations suggest that the proposed estimators and tests perform well for finite samples. We apply our new method to study the relationships among economic growth, the initial economic condition and capital accumulation, and find a significant nonlinear relation between economic growth and the initial economic condition.     

Controlling for Burnout in Estimating Mortgage Prepayment Models

Burnout is a consequence of unobservable predictive variables. This paper describes a methodology for estimating mortgage prepayment models which corrects for burnout. The paper generalizes the approach of Deng, Quigley, and Van Order (Econometrica, 68, 275–307, 1998) and Stanton (Rev. Finan. Stud.8, 677–708, 1995) in modeling the impact of unobservable variables as a probability distribution. The estimator is applied to a sample of loan histories and the results compared to a conventional logit analysis of the data. Predictions and simulations from both models are compared to illustrate the properties of the new estimator.     

ON THE DISTRIBUTIONS OF ORDER STATISTICS FOR A RANDOM SAMPLE SIZE*

The probability distribution of the i –th and j–th order statistics and of the range R of a sample of size n, taken from a population with probability density function f (x) have been obtained when the sample size n is a random variable N and has: (i) a generalized Poisson distribution; and (ii) a generalized negative bonimial distribution. Specific results are then obtained; (a) when f (x) is uniform over (0,1); and (b) when f(x) is exponential. All the results for N, being a Poisson, binomial and negative binomial rv follow as special cases.