Group differences in reciprocity, multiplexity and exchange: measures and application

Local forces structure social networks. One major and widely researched local force is reciprocity, often assumed to work homogeneously across actors??i.e., all actors are equally subject to the same level of force towards reciprocity. Other local forces, like multiplexity and exchange, are also often assumed to apply equally to different actors. But social theory provides us with ample arguments why such forces might be stronger in some subsets of actors than others, or why such forces might affect intergroup ties more than intragroup ties. In this paper we introduce standard measures to capture these group specific forces towards reciprocity, multiplexity, and exchange. All the measures control for differential tendencies of actors to initiate ties of various types. We also introduce a procedure by which differences in the strength of these forces between groups and subgroups can be statistically evaluated.     

Optimal design of nonlinear experiments with parameter constraints

The nonlinear regression model with N observations y _i=η(x _i,θ) +ε_i, and with the parameter θ subject to q nonlinear constraints C _j (θ)=0; j=1, …,q, is considered. As an example, the spline regression with unknown nodes is taken. Expressions for the variances (variance matrices) of the LSE are discussed. Because of the complexity of these expressions, and the singularity of the variance matrix of the LSE for θ, the optimality criteria and their properties, in particular the convexity and the equivalence theorem are considered from different aspects. Also the possibility of restriction to designs with limited values of measures of nonlinearity is mentioned. Research supported by the VEGA-grant of the Slovak grant agency No. 1/7295/20.     

Redistributing the energy tax burden in the Philippines

This paper uses an aggregate modelling approach to assess the impacts of a redistribution of the taxes and duties that currently exist on crude oil and refined petroleum products on the Philippine economy. The approach used in the analysis consists of a general equilibrium model composed of fourteen producing sectors, fifteen consuming sectors, three household categories classified by income and a government. The effects of replacing the taxes and duties on crude oil and refined petroleum products with a more broad based tax on manufacturing and service sectors output on prices and quantities are examined. The results are revealing. For example, the consequences of redistributing the tax burden away from petroleum products to the manufacturing and service sectors of the Philippine economy will be an increase in output by all producing sectors of about 3.5 percent or about 2.4 hundred billion Philippine pesos, a rise in the consumption of goods and services by about 6.1 percent or 1.6 hundred billion Philippine pesos, a rise in total utility by 6.9 or 1.9 hundred billion Philippine pesos, and virtually no change in tax revenue for the government. When subjected to a sensitivity analysis, the results are reasonably robust with regard to the assumption of the values of the substitution elasticities. That is, while the model's equilibrium values do vary in response to different assumptions of the values of these elasticities, the fluctuations are not so enormous to suggest that the model is unrealistically sensitive to these parameters.Notation Y _j Total production in sectorj (j=1, 2, ..., 14) - CD _j Consumer demand for productj - GE _j Government endowment of productj - UM _j Imports of productj - _LRAS_jl RAS balanced input-output intermediate demands - GD _j Government demand for productj - INV _j Investment in sectorj - UX _j Exports of productj - SL _c Supply of labor by householdc (c=1, 2, 3) - SK _c Supply of capital by householdc - SD _c Supply of land by householdc - DL _j Demand for labor in the industryj - DK _j Demand for capital in the industryj - DD _j Demand for land in industryj - GDL Government demand for labor - GDD Government demand for land - TL _j Tax on labor in industryj - TK _j Tax on capital in industryj - TD _j Tax on land in industryj - GCE _i Consumer demand for consumer producti (i=1, 2, ..., 15) - Z _ji A 14×15 transformation matrix - RCS _ic RAS balanced matrix of each household's demand for each consumer good - TC _j Excise tax on consumer goodj - TRN _c Transfer payment to householdc - PIT _c Personal income tax payment for householdc - TAU _c Marginal income tax rate for householdc - SAV _c Savings in householdc - GC _c Gross consumption of householdc - ZTA Consumption plus leisure coefficient - TE Total government endowments - EM _j Demand elasticity of export demand - FE _j Endowment/demand sector of adjusted elasticity of export demand - GSK _j Government endowment of capital in industryj - GDK _j Government demand for capital in industryj - GTL Government wage taxes on its own employees - TXO _j Government output tax on industryj - TC _c Consumption taxes on householdc - CG _c Total government consumption by householdc - SAV _c Total savings by householdc - INV _j Total investment by industryj The views expressed are those of the authors and do not necessarily represent the policies of the organizations with which they are affiliated. They would like to thank Wildrido Cruz of the World Bank and Climenta Habido of the Philippine government for help in acquiring the requisite data to calibrate the model used in the analysis. They would also like to thank an anonymous referee for helpful suggestions.     

A characterization of the exponential distribution by higher order gap

Summary SupposeX is a non-negative random variable with an absolutely continuous (with respect to Lebesgue measure) distribution functionF (x) and the corresponding probability density functionf(x). LetX ₁,X ₂,...,X _n be a random sample of sizen fromF andX _i,n is thei-th smallest order statistics. We define thej-th order gapg _i,j(n) asg _i,j(n)=X _i+j,n–X_i,n 1i<n, 1nn–i. In this paper a characterization of the exponential distribution is given by considering a distribution property ofg _i,j(n).     

Derivation of a joint occupancy distribution via a bivariate inclusion and exclusion formula

Consider a supply of balls randomly distributed into n distinguishable urns and assume that the number of balls distributed into any specific urn is a random variable with probability function . The joint probability function and binomial moments of the number K_i of urns occupied by i balls each and the number K_j of urns occupied by j balls each, i≠j, given that a total of S_n=m balls are distributed into the n urns, are derived in terms of convolutions of q_x, x=0,1, . . . and their finite differences. Also, some illustrating examples are discussed.     

Quality Meets Structure: Generalized Reciprocity and Firm‐Level Advantage in Strategic Networks

In this paper we extend previous research by combining network structural and network process approaches. Specifically, in a six‐year, three‐wave study of 41 firms in two strategic networks, we found that the interaction between generalized reciprocity among a focal firm's partners and network tie intensity and betweenness centrality improved firm performance. No influences were observed for the interaction involving degree centrality and generalized reciprocity. Our research suggests that managers in strategic networks may need to consider the balance between relationship‐extensive and relationship‐intensive strategies.     

Testing conditional symmetry against one-sided alternatives in square contingency tables

For a (k×k) square contingency table with ordered categories, letX(Y) denote the row (column) number. The conditional symmetry model is given byP(X=i, Y=j|X<Y)=P(X=j, Y=i |X>Y), ∀i<j. In this paper, we study the likelihood ratio tests of conditional symmetry in a square contingency table against two particular classes of one-sided alternatives. We obtain the maximum likelihood estimators under each alternative. The asymptotic null distributions of the likelihood ratio statistics are shown to have chi-bar square type distributions. A simulation study is performed by comparing the powers of different tests. The theory developed is illustrated by using the famous eye vision data from Stuart (1953).     

Minimal sufficient statistics for the group divisible partially balanced incomplete block design (GD-PBIBD) with interaction under an Eisenhart Model II

Summary In this paper, an Eisenmhart Model II with interaction for a GD-PBIB design withp replicates per cell is considered. Specifically the Model Y_ijl=µ+_i+_j+()_ij+e_ijl is assumed, wherei=1, 2, ...,b; j=1, 2, ...,t andl=0, 1, 2, ...p s _ij wheres _ij=1, if treatmentj appears in blocki, 0, otherwise.If _i, _j, ()_ij ande _ijl are normally and independently distributed, then a minimal sufficient (Vector-valued) statistic for the class of densities for this model is found, together with the distribution of each component in the minimal sufficient statistic. It is also shown that the minimal sufficient statistic for this class densities is not complete. Hence the solution of the problem of finding minimum variance unbiased estimators of the variance components is not straightforward.     

Investment decisions and managerial compensation design in the presence of product market rivalry

We consider an economy where firms operate in an imperfectly competitive industry and mutually affect each others’ investment opportunities. Each firm is assumed to face a mutually exclusive choice of investing in either a short‐ or a long‐term project. For example, firm i's commitment to a short‐term project cuts into firm j's market in the short‐term but frees‐up firm j's long‐term market, and vice versa. Our results show that, even in the absence of an owner–manager conflict, the owner anticipates the product market rivalry and optimally compensates their managers with short‐ as well as long‐term compensation. Although the optimal compensation design induces myopic investment decisions, it is shown to be in the owners’ best interest. Copyright © 1999 John Wiley & Sons, Ltd.     

Multivariate likelihood ratio orderings between spacings of heterogeneous exponential random variables

Let X ₁, X ₂, ..., X _n be independent exponential random variables such that X _i has failure rate λ for i = 1, ..., p and X _j has failure rate λ^* for j = p + 1, ..., n, where p ≥ 1 and q = n − p ≥ 1. Denote by D _i:n (p,q) = X _i:n −X _i-1:n the ith spacing of the order statistics X _1:n ≤ X _2:n ≤ ... ≤ X _n:n , i = 1, ..., n, where X _0:n ≡ 0. The purpose of this paper is to investigate multivariate likelihood ratio orderings between spacings D _i:n (p,q), generalizing univariate comparison results in Wen et al.(J Multivariate Anal 98:743–756, 2007). We also point out that such multivariate likelihood ratio orderings do not hold for order statistics instead of spacings. Supported by National Natural Science Foundation of China, the Program for New Century Excellent Talents in University (No.: NCET-04-0569), and by the Knowledge Innovation Program of the Chinese Academy of Sciences (No.: KJCX3-SYW-S02).     

Networks,weak signals and technological innovations among SMEs in the land-based transportation equipment sector

On apprend plus par la conversation des Doctes,

que par la lecture de leurs livres

Les épistres de Seneque

Translation by François de Malherbe,

Paris, Anthoine de Sommaville, 1639, p. 21

Small and medium-sized enterprises, because of their limited resources, use a variety of sources and are linked to different networks to obtain the information they need to develop their strategy and then to gradually organize their environment. Among other things, networks keep them up-to-date with changes in the economy and allow them to take advantage of opportunities to innovate, thus remaining ahead of their competitors. The networks – personal or business – with which these firms interact the most are usually geographically or sociologically close by, embedded in the environment, and are known as strong tie networks. They generally supply signals in a familiar language, based on habit as well a good reciprocal knowledge, which are easy to understand. In addition to this, however, the most dynamic firms also have contacts with weak tie networks, which are further removed from the usual behaviours of entrepreneurs and provide weak signals that, while difficult to grasp and decode, nevertheless offer new, pre-competitive information that can support major innovations. Very little empirical research has been done so far to test the probability of this theory. This paper reports on the results of a survey involving 147 SMEs, all in the land-based transportation equipment sector. It confirms the importance of weak tie networks as opposed to other types of networks, recognizing their complementary contribution to technological innovation. The organization's absorptive capacity is also found to be a significant intermediary factor in taking advantage of weak tie networks.     

Leader–member exchange and guanxi are not the same: differential impact of dyadic relationships on fit perceptions,helping behavior,and turnover intention

Extant literature on person–environment fit has underlined the positive impact of leader–member exchange (LMX) on person–supervisor (PS) fit. We challenge this assumption and propose that LMX, which captures the working relationship between employees and their managers, is more strongly associated with person–organization (PO) fit, not PS fit. We further propose that the personal aspect of the relationship between employees and their managers, namely supervisor–subordinate guanxi, is more strongly associated with PS fit than LMX. Finally, we theorize that LMX and supervisor–subordinate guanxi will be associated with turnover intention and helping behavior targeting the supervisor, respectively, through their differential impact on PO and PS fit. Data collected from 267 leader–member dyads in 17 companies in China using a two-wave procedure supported our hypotheses. These results have implications for theories on the multi-dimensional nature of the person–environment fit as well as research differentiating LMX and supervisor–subordinate guanxi.     

American Indians and Natural Resource Development: Indigenous Peoples'Land, Now Sought After, Has Produced New Indian-White Problems

Abstract . In the colonial period of U.S. history, American Indian tribes enjoyed the status of political sovereigns, and dealt as equals with the English Crown and colonial authorities. In the years following U.S. independence, legal, administrative, and military actions were used to redefine the meaning of tribal sovereignty. Conceptualizing these developments, “captive nations” refers to the limited sovereignty of tribes and their isolation and detachment from mainstream American society. Recently, natural resource development on their land and especially the discovery of energy resources has had a major impact on the structure of Federal-Indian relations and the political status of Indian tribes in American society. Willingly or unwillingly, many tribes are in the process of renegotiating their status with the Federal Government as a consequence of the resource development. As a result, these former captive nations are now more aptly described as “internal colonies.”     

On the power function of the exact test for ther×c contingency table

Summary LetN=[n _ij ] (i=1, …,r;j=1, …,c) be the matrix of observed frequencies in anr×c contingency table fromr possibly different multinomial populations with respective probabilitiesp _i =(p _i1, …,p _ic ).Freeman andHalton have proposed an exact conditional test for the hypothesisH ₀ :p _i =(p ₁, …p _c ) of the exact test is derived. Numerical values forβ(p) were previously computed for the special case:r=3,c=2 [Bennett andNakamura, 1964].     

Biases,variances and covariances of raking ratio estimators for marginal and cell totals and averages of observed characteristics

Summary On the basis of a simple random sample from a population, on which a cross-classification is defined with known marginal frequenciesN _i. andN _.j , one wishes to estimate the cell frequenciesN _ij , as well as cell totalsY _ij , marginal totalsY _i. andY _.j , and the grand totalY for characteristics measured on the units. Various authors have discussed so-called raking ratio estimators, which are built up from the estimated cell values by addition. They have given the bias and variance of this estimator ofY. This paper derives biases, variances and covariances for the corresponding estimators of the cell and marginal totals and of the corresponding marginal averages.     

Estimates of technical inefficiency in stochastic frontier models with panel data: generalized panel jackknife estimation

Estimates of technical inefficiency based on fixed effects estimation of the stochastic frontier model with panel data are biased upward. Previous work has attempted to correct this bias using the bootstrap, but in simulations the bootstrap corrects only part of the bias. The usual panel jackknife is based on the assumption that the bias is of order T ⁻¹ and is similar to the bootstrap. We show that when there is a tie or a near tie for the best firm, the bias is of order T ^−1/2, not T ⁻¹, and this calls for a different form of the jackknife. The generalized panel jackknife is quite successful in removing the bias. However, the resulting estimates have a large variance.     

Two-sample rank tests with truncated populations

LetX ₁,…,X _m andY ₁,…,Y _n be two independent samples from continuous distributionsF andG respectively. Using a Hoeffding (1951) type theorem, we obtain the distributions of the vector S=(S ₍₁₎,…,S _(n)), whereS _(j)=# (X _i ’s≤Y _(j)) andY _(j) is thej-th order statistic ofY sample, under three truncation models: (a)G is a left truncation ofF orG is a right truncation ofF, (b)F is a right truncation ofH andG is a left truncation ofH, whereH is some continuous distribution function, (c)G is a two tail truncation ofF. Exploiting the relation between S and the vectorR of the ranks of the order statistics of theY-sample in the pooled sample, we can obtain exact distributions of many rank tests. We use these to compare powers of the Hajek test (Hajek 1967), the Sidak Vondracek test (1957) and the Mann-Whitney-Wilcoxon test. We derive some order relations between the values of the probagility-functions under each model. Hence find that the tests based onS ₍₁₎ andS _(n) are the UMP rank tests for the alternative (a). We also find LMP rank tests under the alternatives (b) and (c).     

Human resources in Sino-foreign joint ventures: selected case studies in Shanghai,compared with Beijing

This article examines HRM in joint ventures (JVs) in Shanghai compared with those in Beijing using a case-study approach. It focuses primarily on issues relating to labour contracts, rewards and benefits, social insurance, trade unions and personnel policies, and describes current developments in China in each of these areas. In order to place these JV human resource practices in context, we also draw on interviews in state-owned enterprises (SOEs) in Shanghai and Beijing. Taking as a starting point a summary of traditional SOE 'iron rice-bowl' ( tie fan wan ) practices in the management of personnel, we ask to what extent HRM in the present JV sample differs from traditional methods and to what extent 'iron rice-bowl' practices continue despite foreign ownership. The extent to which HR practices in JVs are distinct from those in contemporary SOEs is also examined. We conclude that, although, as one would expect, foreign ownership has modified traditional practice, the degree and extent to which this is true varies widely. There is strong evidence of institutional and organizational continuity in 'iron rice-bowl' practices in both JVs and SOEs. Finally we propose a framework for categorizing the companies investigated in terms of their distance from traditional 'iron rice-bowl' HR practices and proximity to 'imported' practices. This consists of two 'pure' and two hybrid categories: pure 'iron rice-bowl'; hybrid I (predominantly local); hybrid II (predominantly imported): and, finally, pure imported. In this schema, the companies examined do not however group neatly according to whether they are JVs or SOEs.     

A central limit theorem for endogenous locations and complex spatial interactions

We provide a new central limit theorem (CLT) for spatial processes under weak conditions that are plausible for many economic applications in which location is endogenous. In particular, our CLT is designed for problems that have some, but not necessarily all, of the following features: (i) Agents choose the locations of observations to maximize profits, welfare, or some other objective. (ii) The objects that are chosen (e.g., stores or brands) interact with one another. For example, they can be substitutes or complements. (iii) Interaction can be complex. In particular, interaction between i and j need not depend only on the distance between the locations of i and j, but can also depend on distance to or location of other observations k, or possibly on the number of other such observations.     

Multiple comparisons with the best,with economic applications

In this paper we discuss a statistical method called multiple comparisons with the best, or MCB. Suppose that we have N populations, and population i has parameter value θ_i. Let $\theta _{(N)}={\rm max}_{i=1,\ldots ,N}\theta _{i}$\nopagenumbers\end , the parameter value for the ‘best’ population. Then MCB constructs joint confidence intervals for the differences $[\theta _{(N)}‐\theta _{1},\theta _{(N)}‐\theta _{2},\ldots ,\theta _{(N)}‐\theta _{N}]$\nopagenumbers\end . It is not assumed that it is known which population is best, and part of the problem is to say whether any population is so identified, at the given confidence level. This paper is meant to introduce MCB to economists. We discuss possible uses of MCB in economics. The application that we treat in most detail is the construction of confidence intervals for inefficiency measures from stochastic frontier models with panel data. We also consider an application to the analysis of labour market wage gaps. Copyright © 2000 John Wiley & Sons, Ltd.