Playful organisations: Undecidability as a scarce resource

This article explores how organisational play becomes a managerial tool to increase and benefit from undecidability. The article draws on Niklas Luhmann's concept of decision and on Gregory Bateson's theory of play to create a conceptual framework for analysing the relation between decision and undecidability. With an empirical point of departure in Danish public school policy and two concrete examples of games utilised in school development, the article analyses how play is a way for organisations to simultaneously decide and also avoid making a decision, thus keeping flexibility and possibilities intact. In its final sections, the article discusses what happens to conditions of decision-making when organisations do not just see undecidability as a given condition, but as a limited resource indispensable for change and renewal. The article advances discussions of organisational play by exploring the consequences play has for the very conditions of organising and for key concepts in organisation theory.     

Editorial

Ohne Zusammenfassung

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Editorial

     

Some thoughts on the human development index

The Human Development Index (HDI) of a nation, proposed by UNDP (1990), is the average of its score, relative to all other nations, on three basic indicators: GDP per person, life expectancy and literacy. The HDI and its components are examined critically with respect to accuracy, sensitivity, and discriminant power. Differential implications for evaluating a particular project or regulation are derived, suggesting some ways to improve the HDI. It is concluded that the HDI is potentially a powerful instrument for world social development and bears examination for validity and consistency with public objectives.     

ESTIMATING POPULATION SIZE FROM CAPTURE-RECAPTURE EXPERIMENTS IN CONTINUOUS TIME

Estimates for the size of a closed population are given for multiple recapture studies in continuous time. The estimates are derived by a method of moments for martingales. An estimate and associated standard error of the population size are derived for a homogeneous population when the capture rates are permitted to depend on time in an unspecified manner. Corresponding results are obtained when the capture rates vary among individuals as well. Explicit expressions are given for these estimates and standard errors which involve only simple computation.     

Generating Correlation Matrices With Specified Eigenvalues Using the Method of Alternating Projections

ABSTRACT

This article describes a new algorithm for generating correlation matrices with specified eigenvalues. The algorithm uses the method of alternating projections (MAP) that was first described by Neumann. The MAP algorithm for generating correlation matrices is both easy to understand and to program in higher-level computer languages, making this method accessible to applied researchers with no formal training in advanced mathematics. Simulations indicate that the new algorithm has excellent convergence properties. Correlation matrices with specified eigenvalues can be profitably used in Monte Carlo research in statistics, psychometrics, computer science, and related disciplines. To encourage such use, R code (R Core Team) for implementing the algorithm is provided in the supplementary material.     

Estimation in Epidemics with Incomplete Observations

The construction of estimating equations by martingale methods is generalized to yield estimators with explicit expressions for the parameters of the birth-and-death and the general epidemic processes when only partial observations are available. (For the birth-and-death process the death process is observed but the number of births is observed only at the end and for the general epidemic process only the removal process is observed.) For large populations, the use of the martingale central limit theorem yields asymptotic confidence regions for the parameters. Explicit expressions are derived for estimators of the variances of the large sample distributions. The range of validity and usefulness of the new estimators is determined by simulation.