A feasibility approach for constructing combinatorial designs of circulant type

In this work, we propose an optimization approach for constructing various classes of circulant combinatorial designs that can be defined in terms of autocorrelation. The problem is formulated as a so-called feasibility problem having three sets, to which the Douglas–Rachford projection algorithm is applied. The approach is illustrated on three different classes of circulant combinatorial designs: circulant weighing matrices, D-optimal matrices of circulant type, and Hadamard matrices with two circulant cores. Furthermore, we explicitly construct two new circulant weighing matrices, a CW(126, 64) and a CW(198, 100), whose existence was previously marked as unresolved in the most recent version of Strassler’s table.     

Pluralism in Organizations: Learning from Unconventional Forms of Organizations

The bureaucratic organization is still regarded as the conventional organizational form, but is ill‐suited to an increasingly pluralistic world. Research on the variety of organizational forms has increased dramatically over the past three decades and offers the potential to understand better how pluralism is manifested and managed within organizations. However, this research remains fragmented. The purpose of this paper is to review and synthesize research on unconventional organizations to explore how organizations resolve or attenuate the tensions related to pluralism. Drawing from research in leading management journals, it covers seven distinct literatures: ‘referent organization’, ‘temporary organization’, ‘pluralistic organization’, ‘meta‐organization’, ‘bridging organization’, ‘hybrid organization’ and ‘field‐configuring event’. For each literature, the authors trace the genealogy of the key concepts and review their distinct insights regarding organizational pluralism. They then synthesize and discuss their collective contributions and conclude with avenues of research for pluralism in organizations.     

New bounds for locally irregular chromatic index of bipartite and subcubic graphs

A graph is locally irregular if the neighbors of every vertex v have degrees distinct from the degree of v. A locally irregular edge-coloring of a graph G is an (improper) edge-coloring such that the graph induced on the edges of any color class is locally irregular. It is conjectured that three colors suffice for a locally irregular edge-coloring. In the paper, we develop a method using which we prove four colors are enough for a locally irregular edge-coloring of any subcubic graph admiting such a coloring. We believe that our method can be further extended to prove the tight bound of three colors for such graphs. Furthermore, using a combination of existing results, we present an improvement of the bounds for bipartite graphs and general graphs, setting the best upper bounds to 7 and 220, respectively.     

Divorce and parity progression following the death of a child: A register-based study from Finland

Most studies that have examined whether a child’s death influences parental relationship stability have used small-scale data sets and their results are inconclusive. A likely reason is that child loss affects not only the risk of parental separation, but also the risk of having another child. Hence parity progression and separation must be treated as two competing events in relation to child loss. The analysis in this paper used Finnish register data from 1971 to 2003, covering over 100,000 married couples whose durations of both first marriage and parenthood could be observed. We ran parity-specific Cox regressions in which process time started from the birth of each additional child. All marriages included women of childbearing age, none of whom had experienced any child death on entering the analysis. We find that child loss only modestly influences the divorce risk, whereas its effect on the risk of parity progression is considerable.     

Demography,Education, and Democracy: Global Trends and the Case of Iran

Reconstructions and projections of populations by age, sex, and educational attainment for 120 countries since 1970 are used to assess the global relationship between improvements in human capital and democracy. Democracy is measured by the Freedom House indicator of political rights. Similar to an earlier study on the effects of improving educational attainment on economic growth, the greater age detail of this new dataset resolves earlier ambiguities about the effect of improving education as assessed using a global set of national time series. The results show consistently strong effects of improving overall levels of educational attainment, of a narrowing gender gap in education, and of fertility declines and the subsequent changes in age structure on improvements in the democracy indicator. This global relationship is then applied to the Islamic Republic of Iran. Over the past two decades Iran has experienced the world's most rapid fertility decline associated with massive increases in female education. The results show that based on the experience of 120 countries since 1970, Iran has a high chance of significant movement toward more democracy over the following two decades.     

Schooling and Factors Affecting Decisions on Schooling by Household Members in the Rural Areas of Turkey

Despite the fact that rural education has always been one of the most important means of rural development, it has been ignored in many developing countries, with the result that rural development has not achieved great success. The problems of education in rural areas are not only related to the amount the country spends on education or to the system of education. The socio-economic condition of the individuals living in these areas and the form of rural education also play an important part. The present study deals with the socio-economic factors that influence the education level which is achieved. The assessments in the study are based on data gathered in a survey of 386 households carried out in the Aegean Region of Turkey. The work consists of three parts: the state of education in rural areas; the factors adversely affecting an individual’s decision to continue at school; and the employment situation of individuals who did not continue their education. In the results section, some suggestions have been made regarding the provision of employment opportunities to individuals who have not completed their education and who have had no job training.     

Kontexteffekte in Familien – Angleichung von Paaren und intergenerationale Transmission am Beispiel Religiosität

The present contribution shows conceptual and methodological approaches for the study of social context effects within families. Family members mutually constitute the social context in which family behavior and personality development take place. Social influence in families becomes evident empirically in family members’ significant similarity concerning a wide variety of characteristics. The present study focuses on intrafamily convergence with regard to religiousness. In an empirical illustration, both (a) horizontal intracouple alignment and (b) vertical intergenerational transmission processes are examined. Besides the finding that experiences during religious socialization in the parental home have a stronger impact than partner influences in adulthood, our analyses show that social context effects are more pronounced the stronger the cohesion of the respective interaction dyad is (e.g., according to measures of relationship quality).     

Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee

Same parliaments, to form a committee of size $q$ , use a voting process like the following: every parliamentary member votes for one out of a fixed set of candidates, and those $q$ candidates receiving more votes are elected for the committee. Assuming total discipline of vote, this is a game form in which players are the parliamentary groups. We investigate, according to some natural hypotheses about preferences, the likely distribution of the members of this committee. The main results are: (a) when fractional votes are allowed, there is a complete agreement between the distribution among the groups of the elected candidates that are outcomes of a Nash equilibrium and the distribution that, according to the size of the groups, would compute the Jefferson-d’Hondt allocation rule, and (b) when fractional votes are not allowed, there is a near agreement for a majority of situations.     

Preference intensity representation: strategic overstating in large elections

If voters vote strategically, is it useful to offer them the possibility of expressing nuanced opinions, or would they always overstate the intensity of their preferences? For additive voting rules, say that a ballot is extremal if it is neither abstention-like nor can be expressed as a mixture of the available ballots. We give a sufficient condition for strategic equivalence: if two rules share the same set of extremal ballots (up to an homothetic transformation), they are strategically equivalent in large elections. This condition is also necessary for the strategic equivalence of positional rules. These results do not hold for small electorates.