Rejoinders to the comments on my paper “Performance measurement and joint production of intended and unintended outputs”

I will comment on the comments by the groups of three reviewers separately. First of all, I will thank all three groups providing a first round of reports in order for me to get rid of obvious mistakes. In the second round the reviewers were free to comment on the qualities of my revised version. I am not to change my revised paper when giving my comments on what would be honest reports on the quality of my final version. However, the reviewers will not have a go at my rejoinders to comments according to the symposium rules. I keep the section numbering of the authors in order to make it easier to identify the arguments.

     

Confidence Distribution,the Frequentist Distribution Estimator of a Parameter: A Review

In frequentist inference, we commonly use a single point (point estimator) or an interval (confidence interval/“interval estimator”) to estimate a parameter of interest. A very simple question is: Can we also use a distribution function (“distribution estimator”) to estimate a parameter of interest in frequentist inference in the style of a Bayesian posterior? The answer is affirmative, and confidence distribution is a natural choice of such a “distribution estimator”. The concept of a confidence distribution has a long history, and its interpretation has long been fused with fiducial inference. Historically, it has been misconstrued as a fiducial concept, and has not been fully developed in the frequentist framework. In recent years, confidence distribution has attracted a surge of renewed attention, and several developments have highlighted its promising potential as an effective inferential tool. This article reviews recent developments of confidence distributions, along with a modern definition and interpretation of the concept. It includes distributional inference based on confidence distributions and its extensions, optimality issues and their applications. Based on the new developments, the concept of a confidence distribution subsumes and unifies a wide range of examples, from regular parametric (fiducial distribution) examples to bootstrap distributions, significance (p‐value) functions, normalized likelihood functions, and, in some cases, Bayesian priors and posteriors. The discussion is entirely within the school of frequentist inference, with emphasis on applications providing useful statistical inference tools for problems where frequentist methods with good properties were previously unavailable or could not be easily obtained. Although it also draws attention to some of the differences and similarities among frequentist, fiducial and Bayesian approaches, the review is not intended to re‐open the philosophical debate that has lasted more than two hundred years. On the contrary, it is hoped that the article will help bridge the gaps between these different statistical procedures.     

A Survey of L1 Regression

L₁ regularization, or regularization with an L₁ penalty, is a popular idea in statistics and machine learning. This paper reviews the concept and application of L₁ regularization for regression. It is not our aim to present a comprehensive list of the utilities of the L₁ penalty in the regression setting. Rather, we focus on what we believe is the set of most representative uses of this regularization technique, which we describe in some detail. Thus, we deal with a number of L₁‐regularized methods for linear regression, generalized linear models, and time series analysis. Although this review targets practice rather than theory, we do give some theoretical details about L₁‐penalized linear regression, usually referred to as the least absolute shrinkage and selection operator (lasso).     

Gomulka on the soft budget constraint: A reply

Conclusion The preceding two sections of this note cover the main points at issue. There are some other, lesser matters, but these need not detain us here. To repeat: I have found Dr Gomulka's comments constructive and stimulating. They will, I am sure, be helpful both in my future research and in future expositions of my ideas.     

Abandoning internal and external validity: A response to Swanborn

This is a reply to Peter Swanborn's comments on my paper A note on Campbell's distinction between internal and external validity. I argue that Swanborn misconstrues my argument, interpreting it as recommending the abandonment of the concept of external validity, whereas it actually proposed abolition of thedistinction between internal and external validity. I also explain that my argument did not involve a denial of the importance of the various issues included under these headings by Campbell, merely a proposed reconceptualisation of them.     

A mechanism implementing the proportional solution

We consider the problem of a commonly owned technology which transforms a single input into a single output. We are interested in implementing a social choice rule called theproportional solution. We introduce a mechanism which implements the proportional solution in Nash, strong (Nash) and undominated Nash equilibria. In the mechanism each agent announces only two numbers which can be interpreted as the total output and her share of the total input-output combination. This paper was originally titled "Doubly implementing the proportional solution." I would like to thank my advisor William Thomson for his detailed comments and suggestions. I would also like to thank Jeffrey Banks and Sung-Whee Shin for their comments. Two anonymous referees and an editor’s comments improved this paper substantially.     

Recombination in digital innovation: Challenges,opportunities, and the importance of a theoretical framework

In this article I argue that the quest to establish digital innovation as a research domain is hindered by three challenges. As digital innovation research we are too often: a) reifying the agency of digital innovation actors; b) developing explanations of digital innovation detached from the specifics of digital technology, and c) developing overly specific explanations of digital innovation. I begin by providing a brief overview of the recombination perspective and considering why this perspective holds great appeal in the digital age. I then engage with Henfridsson et al.'s (2018) value spaces framework as a platform for framing value creation and value capture in relation to recombination in digital innovation. Next, I push Henfridsson et al.'s arguments one step further to discuss them in relation to what I consider to be the key challenges for digital innovation research. Illustrating with some of my own recent projects, I suggest that in order to fully address these challenges we need to (1) develop explanations of digital innovation acknowledging the complexity of sociomaterial interaction in digital innovation; (2) develop explanations of digital innovation building on the specifics of digital technology, and (3) develop explanations of digital innovation based on an oscillation between the specific and the general. The article concludes by pointing to future challenges and developments for digital innovation research.     

He who must not be named

Landsberger et al. have studied a sealed bid first price auction with two players in which the ranking of the valuations is known. They argue that such a situation can arise in a sequential auction where only the name of the winner is revealed. In this paper we consider sequential auctions where two identical goods are sold sequentially to N players who are interested in both objects. In sealed bid auctions, no information is a priori revealed by the mechanism, but the seller can in principle reveal whatever he wants. We restrict our attention to the case where only the name of the winner is revealed to be in the context of Landsberger et al. for the second auction. The aim of the paper is to compare such a sequential auction with a simultaneous auction where both goods are sold as a bundle or equivalently with a sequential auction where no information is revealed. We first show that there exists an equilibrium of the sequential game in pure and monotone strategies. Then, the comparison of the seller's expected revenue in the two cases allows us to conclude that contrary to Landsberger et al.'s predictions, the seller can not use the information to increase his revenue. This result is obtained using simulations for a large class of distribution functions. The seller must not reveal the name of the winner between the two auctions and instead sell both goods using a simultaneous auction.Received: 31 July 2001, Accepted: 5 February 2003, JEL Classification: B44I wish to thank Laurent Linnemer, Thomas Ricke, Michael Visser and Shmuel Zamir for helpful comments and suggestions. I am very grateful to the referees and the associated editors in charge of my paper.     

Limited arbitrage is necessary and sufficient for the existence of an equilibrium

In Chichilnisky (Working Paper No. 586, 1991), Chichilnisky (Working Paper No. 650, 1992) and Chichilnisky (Economic Theory, 1995, 5, 79–108), I introduced the concept of a global cone and used it to define a condition on endowments and preferences, ‘limited arbitrage’, which I showed to be necessary and sufficient for the existence of a competitive equilibrium. In response to a comment (Monteiro et al., Journal of Mathematical Economics, 1997, 26, 000-000), I show here that the authors misunderstood my results by focussing on brief announcements which cover other areas, social choice (Chichilnisky, American Economic Review, 1994, 427–434 and algebraic topology (Chichilnisky, Bulletin of the American Mathematical Society, 1993, 29, 189–207), rather than on the publication which contains may proofs on equilibrium. The comment's example is irrelevant to my results in Chichilnisky (Economic Theory, 1995, 5, 79–108) because it starts from different conditions. Limited arbitrae is always necessary and sufficient for the existence of a competitive equilibrium, with or without short sales, with the global cones as I defined them, and exactly as proved in Chichilnisky (Economic Theory, 1995, 5, 79–108).     

My Chancy Life as a Statistician

In this short article, I will attempt to provide some highlights of my chancy life as a statistician in chronological order spanning over 60 years, 1954 to present.     

BOOK REVIEWS

Book reviewed in this article: Amit-Talai, Vered and Henri Lustiger-Thaler (eds.) 1994: Urban lives: fragmentation and resistance. Morton Suzanne 1995: Ideal surroundings, domestic life in a working-class suburb in the 1920's. Hay den, Dolores 1995: The power of place: urban landscapes as public history. Rémy, Jean (ed.) 1995: Georg Simmel: ville et modernité. Bennani-Chraïbi, Mounia 1994: Soumis et rebelles: les jeunes au Maroc. Stébé, Jean-Marc 1995: La réhabilitation de l'habitat social en France.     

Efficiency measurement when producers control pollutants: a non-parametric approach

This paper treats efficiency measurement when some outputs are undesirable and producers control pollutants by end-of-pipe or change-in-process abatement. A data envelopment analysis framework that compares producers with similar pollution control efforts is proposed. First, my approach avoids arbitrary disposability assumptions for undesirable outputs. Second, the model is used to evaluate the interplay between pollution control activities and technical efficiency. I compare my approach to the traditional neo-classical production model that does not incorporate undesirable outputs among outputs, and to Färe et al.’s (Rev Econ Stat 71:90–98, 1989, J Econom 126:469–492, 2005) well-known model that incorporates bads. I evaluate the common assumption in the literature on polluting technologies, that inputs are allocatable to pollution control, and apply U.S. electricity data to illustrate my main point: Although my empirical model specifications are in line with the literature on polluting technologies, they rely on inputs that play an insignificant role in controlling nitrogen oxides (NO_x) emissions. Consequentially, there are no reasons to expect the efficiency scores of the traditional model to differ from the efficiency scores of the other two models that account for resources employed to pollution control. Statistical tests show that my model, which explicitly takes pollution control efforts into account, produces efficiency scores that are not statistically different from the traditional model’s scores for all model specifications, while Färe et al.’s model produces significantly different results for some model specifications. I conclude that the popular production models that incorporate undesirable outputs may not be applicable to all cases involving polluting production and that more emphasis on appropriate empirical specifications is needed.     

The Pazner-Schmeidler social ordering: A defense

It is shown that the Pazner-Schmeidler social ordering appears as a very natural solution to the problem of defining social preferences over distributions of divisible goods. The paper analyses various ways of deriving this social ordering from minimally egalitarian conditions and informational parsimony requirements.Received: 10 October 2003, Accepted: 4 April 2005, JEL Classification: D63, D71This paper was written while I was a research fellow at the ZiF (Bielefeld), for the project “Procedural Approaches to Conflict Resolution”, and the last version was prepared during my sabbatical year at Nuffield College, Oxford. I thank my hosts for their hospitality. D. Dimitrov and F. Maniquet have provided valuable comments on an earlier draft. I also thank the audience of a seminar at the U. of Montreal. Finally, the comments of three anonymous referees and the Associate Editor have been very helpful.     

Managerial responsibilities and procedural justice

This article identifies managerial responsibilities associated with ensuring fairness in the implementation of decision-making procedures in organizations. These responsibilities include giving adequate consideration to employees' viewpoints, suppressing biases, applying decision-making criteria consistently, providing timely feedback, giving justification, being truthful in communication, and treating employees with courtesy and civility. The article concludes with a discussion of the theoretical and practical implications of this analysis for procedural justice in organizationsAs a manager, I make many decisions. It is my responsibility to make these decisions fairly. I try to be honest, consistent, and impartial. That's my, moral responsibility as a manager. If I don't fulfill that responsibility, I will lose their respect and support. It is as simple as that. (From an interview with the president of a division of a Fortune 500 consumer products company.)     

Engaging in duty of care: towards a terrorism preparedness plan

Abstract

A minor digression, if you will: it has been over 30 years since I (referring to lead author) first wrote on the topic of terrorism and its potential impact on conducting business in a global context. The most vivid memory I have relative to that initial foray into this new topic was making a presentation at the annual summer American Marketing Association (AMA) conference in Chicago. I got halfway through the paper and I started to hear jeering noises emanating from the audience. As I remember (it is not a pleasant memory), the audience thought that I had lost my mind and that the reviewers of the paper allowed this rubbish into the AMA meeting (the implication was that they must have been drinking at the time). This is a true account of the presentation and when I left the session, I would be dishonest if I didn’t tell you that I had made a terrible error and there would be significant ramifications to my young academic career. Yet, no country is untouched by global terrorism today, and the ramifications for global organizations are escalating year by year.     

Construction of Exact Simultaneous Confidence Bands for a Simple Linear Regression Model

A simultaneous confidence band provides a variety of inferences on the unknown components of a regression model. There are several recent papers using confidence bands for various inferential purposes; see for example, Sun et al. (1999) , Spurrier (1999) , Al‐Saidy et al. (2003) , Liu et al. (2004) , Bhargava & Spurrier (2004) , Piegorsch et al. (2005) and Liu et al. (2007) . Construction of simultaneous confidence bands for a simple linear regression model has a rich history, going back to the work of Working & Hotelling (1929) . The purpose of this article is to consolidate the disparate modern literature on simultaneous confidence bands in linear regression, and to provide expressions for the construction of exact 1 ?α level simultaneous confidence bands for a simple linear regression model of either one‐sided or two‐sided form. We center attention on the three most recognized shapes: hyperbolic, two‐segment, and three‐segment (which is also referred to as a trapezoidal shape and includes a constant‐width band as a special case). Some of these expressions have already appeared in the statistics literature, and some are newly derived in this article. The derivations typically involve a standard bivariate t random vector and its polar coordinate transformation.     

Comparison of Hypothesis Testing and Bayesian Model Selection

The main goal of both Bayesian model selection and classical hypotheses testing is to make inferences with respect to the state of affairs in a population of interest. The main differences between both approaches are the explicit use of prior information by Bayesians, and the explicit use of null distributions by the classicists. Formalization of prior information in prior distributions is often difficult. In this paper two practical approaches (encompassing priors and training data) to specify prior distributions will be presented. The computation of null distributions is relatively easy. However, as will be illustrated, a straightforward interpretation of the resulting p-values is not always easy. Bayesian model selection can be used to compute posterior probabilities for each of a number of competing models. This provides an alternative for the currently prevalent testing of hypotheses using p-values. Both approaches will be compared and illustrated using case studies. Each case study fits in the framework of the normal linear model, that is, analysis of variance and multiple regression.     

Optimal allocation of measurements in a linear calibration process

A problem of allocation of measurements for a linear calibration process is considered in this article. It is assumed that a total of N measurements are made some of which may be measurements on two distinct standards, while the remaining measurements are on m different unknown specimens. We discuss allocation of the N measurements for the two standards and m unknown specimens based on A-optimality criterion, which is applied to asymptotic variances of maximum likelihood estimators for the true values of unknown specimens. It can be shown that the optimal allocation depends on the true values of unknown specimens. Hence, the user may resort to locally or Bayesian A-optimal measurement designs. Some practical solution is presented. Furthermore, the impact of prior on the allocation is also discussed.     

Is This What The Democratic City Looks Like? Local Democracy,Housing Rights and Homeownership in the Portuguese Context

This article analyses the creation of a normative framework for the democratic city during the regime change in Portugal in 1975—the answers that were given to the question, ‘What should a city be like in a democratic regime?’ While I critically discuss post‐democracy and its use of post‐foundational contributions, I review the post‐revolution Portuguese constitutional debate, contending that the call for democratization brought by urban popular organizations was answered with a political compromise that exchanged expectations of a participatory city for a commitment to a social rights city, enhanced with a promise of homeownership for urban popular segments. In light of this, in this article I question post‐democratic proposals, arguing that when this approach implicitly establishes equivalence between democracy and ‘the political’, it has difficulties in interpreting how the grammar of democracy is ‘organized’ in conflictual and contingent processes of democratic institutionalization. As an alternative, I contend that a critical debate concerning democracy and the urban must address how democratic expectations of emancipation have been translated into institutions and rights through interwoven and situated processes of politicization and depoliticization that allow both politicization of the urban and the production of consent .     

De‐Essentializing the Knowledge Intensive Firm: Reflections on Sceptical Research Going against the Mainstream

This paper provides an updated summary and discussion of my 1993 JMS paper ‘Organization as rhetoric: knowledge‐intensive firms and the struggle with rhetoric’, and relate this to my own and others' later work in the area explored in the paper: knowledge‐intensive work and discourse. A key aspect of knowledge work is the ambiguity of what it stands for, what people working with ‘knowledge’ are doing, and what they accomplish. This fuels identity uncertainties, which is also addressed and reflected upon in the paper. As part of my broader reflections, I also provide a brief overview of some methodological ideas on how to do problematization: a key theme in the original piece but which is more generally a research approach that may lead to contributions that generate interest.