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The chapter analyses the uses made in the economic literature of the two modern names of the Paretian criterion: optimality and efficiency. Based on a large database of 10,000 EconLit referenced scientific publications, we use a lexicometric and historical approach to study the uses, instead of the meaning, of the Paretian Criterion. We prove that economists differentiate their use of optimality and efficiency and that since the 1970s, uses of Pareto-efficiency have gradually replaced those of Pareto-optimality. Our interpretation is that economists who use the Paretian criterion change the status of their analysis from normative to positive economics.

Clarifies the relationship between the Bellman principle of optimality and the recursive functional equation of dynamic programming by optimum operators of pansystems methodology. Instead of the Bellman principle of optimality, two generalized principles of optimality are proposed by which a necessary and sufficient condition for the fundamental equation is obtained. A discrete generalized dynamic programming model is set up in detail. Some discrete optimization problems which cannot be treated by ordinary dynamic programming may be solved by the generalized model with the construction of appropriate optimum operators.

The purpose of this paper is organized as follows. Section 2 reviews the literature on the subject matter, focusing on western economic literature and the Islamic economic paradigm, including the Quran, Sunnah, jurisprudence and Islamic philosophy thinking, to illustrate the origins of the Islamic approach to monetary systems. The money interest rate and its studies are explained, and the role of money and credit in the production function is considered. Then, it is shown that money maintains the demand for money in the overlapping generation model, as well as the consumption behavior of households. It is followed by an explanation of general Pareto optimality and the role of the money interest rate in inefficiency and nonoptimality for households and firms. Finally, Section 4 concludes the paper.

This paper studies the effects of money issuance and bank creation on Pareto optimality. In explaining the origins of the Islamic approach to monetary systems, the literature review, it focuses on western economics’ literature and Islamic economics paradigms such as the Quran, sunnah, jurisprudence and Islamic philosophy thinking. In modeling section, the authors show how banks’ fractional reserve credit is profitable. The authors also examine how the introduction of the money interest rate can change the Pareto optimality. In this regard, the comparison between two situations, namely, financing by the stock of money and borrowing in the credit market, indicates that welfare is reduced by the creation system and is inefficient (or nonoptimal). The result is that no money and no credits are created. The provision of this system compensates money by increasing the real money supply or deflation. To ensure Pareto optimality, it has been proven in the field of microfoundation that there should be no fixed money contracts and no money interest rates. It is necessary that the interest rate on consumption credit is zero or Qarz-al-Hasna is broken. Moreover, profit sharing is offered in the production sector.

As a result, the authors proved mathematically that the money interest rate must be zero to ensure productivity and Pareto optimality. On the other hand, the introduction of money or credit through loanable money leads to inefficiency, both in production and households and in the general equilibrium. The inflation generated by the credit system stimulates the change in the price level and perpetuates this inefficiency. Thus, if the authors want to return to the optimality condition, the interest rate on consumption credit must be zero or Qarz-al-Hasna is breached. However, the behavior of the fractional banking system and the credit mechanism teaches us that the money interest rate is an integral part of credit and loanable funds. Thus, the elimination of the money interest rate from the banking system without bank creation is implausible. Finally, to ensure Pareto optimality, it has been mathematically proven in the field of microfoundation that there should be no fixed money contracts and no money interest rate. It is necessary that the interest rate on consumption credit is zero, or Qarz-al-Hasna is broken. Moreover, profit sharing is offered in the production sector. The result is that no money and credit are created. The provision of this system compensates money by increasing the real money supply or deflation.

The capitalist theory of the definition of interest plays a decisive role in economic science. In this context, the authors are dealing with different vocabularies and terms for the interest rate. These different vocabularies have their origin in the different economic situations and especially determine the thinking of the schools. Because of the relationship between future and spot, the authors have to transform the variable “level” into the variable “interest rate” in the dynamic space. Finally, the exact explanations for the movement and evaluation of the economy are revealed by the correlation of the different interest rates.

Details a behavioral theory of economic welfare that overlaps and extends the global theoretical framework contained in Pareto Optimality, with significant public policy implications. The essence of this framework is contained in Adam Smith’s the Wealth of Nations where it is argued that the economic welfare of society cannot be augmented if the material level of well‐being of the working population is reduced, even if the economy experiences growth. Moreover, it is argued that there need not be an equity‐efficiency trade‐off in a competitive market economy to the extent that wages positively affect productivity and do not increase production costs. Therefore, shifting from a low to a high wage economy is welfare improving. Smith, in effect, argues that one can have economic ‘justice’ and economic efficiency where the former is necessary to the latter. The behavioral model of economic welfare paints a dynamic picture of economic welfare in contradistinction to the static framework provided by Pareto Optimality wherein the conditions of Pareto Optimality need not be violated.

The concepts of solution error and optimal mesh in adaptive finite element analysis are revisited. It is shown that the correct evaluation of the convergence rate of the error norms involved in the error measure and the optimal mesh criteria chosen are essential to avoid oscillations in the refinement process. Two mesh optimality criteria based on: (a) the equal distribution of global error, and (b) the specific error over the elements are studied and compared in detail through some examples of application.

Immiserizing growth is impossible when the growing country follows nationally optimal policies and the growth stimulates no foreign reaction. However, this solution may leave other nations with sub‐optimal policies, and it may lead to a global misallocation of resources. It is demonstrated that immiserising growth caused by a deterioration in the term of trade is possible when globally optimal policy rules are followed. Both weak global optimality, where all nations follow nationally optimal policies, and strong global optimality, where an efficient world allocation of resources is maintained, are examined. However, when the terms of trade are not determined by market power, for instance under discriminatory pricing or by bilateral negotiation, immiserising growth is unlikely.

The purpose of this paper is to consider the general k level step-stress accelerated life test with the Rayleigh lifetime distribution for units subjected to stress under progressive Type-I censoring.

The parameter of this distribution is assumed to be a log-linear function of the stress, and a tampered failure rate model holds. The progressive Type-I censoring reduces the cost of testing. Due to constrained resources in practice, the test design must be optimized carefully. A numerical study is conducted to illustrate the optimum test design based on several four optimality criteria under the constraint that the total experimental cost does not exceed a pre-specified budget.

This paper compares unconstrained and constrained optimal k level step-stress test. Based on the results of the simulation study, the cost constraint reduces cost and time of the test and it also, in the most cases, increases the efficiency of the test. Also, the T-optimal design is lowest cost and time for testing and it is found more optimal in both conditions.

In this paper, various optimization criteria for selecting the stress durations have been used, and these criteria are compared together. Also, because of affecting the stress durations on the experimental cost, the author optimize under the constraint that the total experimental cost does not exceed a pre-specified budget. The efficiency of the unconstrained test in comparison with constrained test is discussed.

While the main purpose of reporting – e.g. reporting for taxes – is to gauge the economic state of a company, the fact that reporting is done at pre-determined dates distorts the reporting results. For example, to create a larger impression of their productivity, companies fire temporary workers before the reporting date and re-hire then right away. The purpose of this study is to decide how to avoid such distortion.

This study aims to come up with a solution which is applicable for all possible reasonable optimality criteria. Thus, a general formalism for describing and analyzing all such criteria is used.

This study shows that most distortion problems will disappear if the fixed pre-determined reporting dates are replaced with individualized random reporting dates. This study also shows that for all reasonable optimality criteria, the optimal way to assign reporting dates is to do it uniformly.

This study shows that for all reasonable optimality criteria, the optimal way to assign reporting dates is to do it uniformly.

It is found that the individualized random tax reporting dates would be beneficial for economy.

It is found that the individualized random tax reporting dates would be beneficial for society as a whole.

This study proposes a new idea of replacing the fixed pre-determining reporting dates with randomized ones. On the informal level, this idea may have been proposed earlier, but what is completely new is our analysis of which randomization of reporting dates is the best for economy: it turns out that under all reasonable optimality criteria, uniform randomization works the best.

We derive marginal conditions of optimality (i.e., Euler equations) for a general class of Dynamic Discrete Choice (DDC) structural models. These conditions can be used to estimate structural parameters in these models without having to solve for approximate value functions. This result extends to discrete choice models the GMM-Euler equation approach proposed by Hansen and Singleton (1982) for the estimation of dynamic continuous decision models. We first show that DDC models can be represented as models of continuous choice where the decision variable is a vector of choice probabilities. We then prove that the marginal conditions of optimality and the envelope conditions required to construct Euler equations are also satisfied in DDC models. The GMM estimation of these Euler equations avoids the curse of dimensionality associated to the computation of value functions and the explicit integration over the space of state variables. We present an empirical application and compare estimates using the GMM-Euler equations method with those from maximum likelihood and two-step methods.