Planning in firms as an interactive process

This paper discusses the possible uses of economic analysis for strategic planning decisions in firms. It proposes an approach which emphasizes the role of common knowledge for decentralized parallel decision processes. Planning is interpreted as an interactive process among a set of agents who use a plan to formalize a theory of action and an invalidating procedure. In the course of action the agents are supposed to cope with uncertainty as long as the chosen theory remains justified. This approach has strong connections with some recent trends in managerial economics and in particular with the current work in the production sphere which similarly illuminates the role of common knowledge through objective physical flows to promote global efficiency of the firm.     

A Geometric Study of Shareholders’ Voting in Incomplete Markets: Multivariate Median and Mean Shareholder Theorems

A simple parametric general equilibrium model with S states of nature and K < S firms is considered. Since markets are incomplete, at a (financial) equilibrium shareholders typically disagree on whether to keep or not the status quo production plans. Hence each firm faces a genuine problem of social choice. The setup proposed in the present paper allows to study these problems within a classical (Downsian) spatial voting model. Given the multidimensional nature of the latter, super majority rules with rate are needed to guarantee existence of politically stable production plans. A simple geometric argument is proposed showing why a 50%-majority stable production equilibrium exists when K=S−1. When the degree of incompleteness is more severe, under more restrictive assumptions on agents’ preferences and the distribution of agents’ types, equilibria are shown to exist for rates ρ smaller than Caplin and Nalebuff (Econometrica 59: 1–23, 1991) bound of 0.64: they obtain for production plans whose span contains the ‘ideal securities’ of all K mean shareholders.Hervé Crès is a member of the GREGHEC, unité CNRS, UMR 2959.     

Incremental cost sharing: Characterization by coalition strategy-proofness

Each one of n users consumes an idiosyncratic commodity produced in indivisible units. The n commodities are jointly produced by a central facility and total cost must be shared by the users.  A “sequential stand alone mechanism” shares costs incrementally according to a fixed ordering of the users: the first user always pays stand alone cost, the second pays the stand alone cost of the first two users minus that of the first and so on. If the second derivatives of costs are of a constant sign, such a method yields a unique strong equilibrium at every profile of convex preferences in the game where each user chooses his own demand. This equilibrium, in turn, defines a coalition strategy-proof social choice function.  Under decreasing marginal costs and submodular costs, the sequential stand alone mechanisms are almost characterized by these properties; the only exception is the binary demand case (each agent consumes zero or one unit) where a rich family of cost sharing methods (the Shapley value among them) yields a coalition strategy-proof equilibrium selection. Under increasing marginal costs and supermodular costs, coalition strategy-proofness characterizes a richer family of cost sharing methods: they give out one unit at a time while charging marginal costs, with the users taking turns according to a sequence fixed in advance. These methods contain serial cost sharing as a limit case. Received: 8 July 1997/Accepted: 22 January 1998     

A new long-term lifetime distribution induced by a latent complementary risk framework

In this paper, we proposed a new three-parameter long-term lifetime distribution induced by a latent complementary risk framework with decreasing, increasing and unimodal hazard function, the long-term complementary exponential geometric distribution. The new distribution arises from latent competing risk scenarios, where the lifetime associated scenario, with a particular risk, is not observable, rather we observe only the maximum lifetime value among all risks, and the presence of long-term survival. The properties of the proposed distribution are discussed, including its probability density function and explicit algebraic formulas for its reliability, hazard and quantile functions and order statistics. The parameter estimation is based on the usual maximum-likelihood approach. A simulation study assesses the performance of the estimation procedure. We compare the new distribution with its particular cases, as well as with the long-term Weibull distribution on three real data sets, observing its potential and competitiveness in comparison with some usual long-term lifetime distributions.     

Analysing Low Intensity Conflict in Africa using Press Reports

In the absence of reliable and unbiased sources in most African countries, press reports can serve to evaluate some specific causes of death, on condition that a political analysis of the relation between the press and the political power is conducted. Tested on data collected from a leading Kenyan newspaper, the method proposed here is used to conduct a historical and geographical analysis of deaths due to police violence, community clashes and banditry. It also helps to point out the discrepancies between the press discourses on insecurity and political violence, and the reality of deaths reported by the very same press.     

The coefficient of variation asymptotic distribution in the case of non-iid random variables

Due to the widespread use of the coefficient of variation in empirical finance, we derive its asymptotic sampling distribution in the case of non-iid random variables to deal with autocorrelation and/or conditional heteroskedasticity stylized facts of financial returns. We also propose statistical tests for the comparison of two coefficients of variation based on asymptotic normality and studentized time-series bootstrap. In an illustrative example, we analyze the monthly return volatility of six stock market indexes during the years 1990–2007.     

The corrected VIF (CVIF)

In this paper, we propose a new corrected variance inflation factor (VIF) measure to evaluate the impact of the correlation among the explanatory variables in the variance of the ordinary least squares estimators. We show that the real impact on variance can be overestimated by the traditional VIF when the explanatory variables contain no redundant information about the dependent variable and a corrected version of this multicollinearity indicator becomes necessary.     

Instrumental relationships and high expectations: exploring critical care in two Latino community‐based schools

Using in‐depth interviewing, participant observations, and the review of historical and curricular documents, this paper describes and analyzes two Latino community‐based small high schools—the Dr Pedro Albizu Campos High School (PACHS) and El Puente Academy for Peace and Justice (El Puente). The findings suggest that these schools are successful because they foment a culture of high academic expectations for their students, value high‐quality interpersonal relationships between students and teachers, and privilege the funds of knowledge that students and their respective communities bring to school. Based on these findings, a theory of critical care emerges that embodies these necessary conditions if small high schools created for and by communities of color are to succeed. Finally, the implications of this theory of critical care and its impact are discussed within the framework of small urban high school reform in the US.