The expected probability of Condorcet's paradox

Let P(n,p) be the probability that there is a Condorcet winner on three alternatives for n (odd) voters. The vector p defines the probability that a randomly selected voter will have any of the six linear rankings on three alternatives as his or her preference ranking. It is shown that if all p vectors are equally likely, the expected value of P(n,p) is given by 15(n+3)²/[16(n+2)(n+4)].     

Input substitution,aggregation, and engineering descriptions of production activities

This paper presents experimental evidence on the effects of aggregation over micro units on the Allen partial elasticities of substitution between factor inputs. In contrast to all past work on aggregation, the micro technologies are described with engineering, process analysis models.     

EXTERNAL BALANCE SHEETS: CONCEPTS AND EMPIRICAL APPROXIMATION*

International financial relationships should be interpreted in the context of a comprehensive conceptual framework; this paper advocates the use of concepts developed to measure and analyze balance of payments flows. Broad-based, empirical estimates of the international wealth of most countries of the western world are presented on the basis of cumulating balance of payments flows over a lengthy period. Among the more interesting aspects of the results are: the importance of intra-industrial country capital flows in a global context; the propensity of debtors to regard a larger share of their aggregate external debt as long term than do their creditors; the overwhelming importance of banks located in the industrial countries in global external asset and liability positions, and the preponderance of short-term positions taken by those banks; and the tendency for balance of payments records to report more direct investment assets than liabilities. The paper also contains some observations, based on the cumulations of balance of payments capital flows, concerning the nature and size of certain deficiencies in alternative sources–particularly the World Bank's Debtor Reporting System, and the Bank for International Settlements' banking data–of information on outstanding external debt positions.     

A progress report on Kelly's majority conjectures

LetC(m, n) be the proportion of n-voter profiles on m alternatives that have a majority winner. Jerry Kelly conjectured that C(m, n) > C(m + 1, n) for m ? 3 and n = 3 and n ? 5, and C(m, n) > C(m, n + 2) for m ? 3 and n ? 3. We prove these for special cases.     

Determinants of technological change in the service industries

The Service Industries provide numerous examples of how technological change may be impeded. Either the economic state of the industry or the state of scientific and engineering knowledge can limit inventive activity and productivity advance. Consumer ignorance, lack of producer incentives, complex production interdependencies, and market fragmentation are only a few factors limiting the role of demand in stimulating the discovery and diffusion of new services and production techniques. On the cost side, technical uncertainty, time horizons, and discount rates affect decisions to engage in R & D. In addition, strategic market considerations, such as potential entry, reaction speeds of rivals, and numbers of competitors affect the benefits from early introduction of new technologies. These institutional and economic considerations need to be taken into account for technological forecasting related to the Service Industries.     

Exploring Material‐Discursive Practices

Our intent in this commentary is to support the turn to materiality in organizational research, and contribute to it by considering some differences in our approach from that proposed by Hardy and Thomas. Drawing on agential realism – which theorizes the entanglement of matter and meaning – we explore the relation between discourse and materiality in terms of the ideas of materialization and performativity as enacted in a study of hotel valuation in the hospitality industry. We offer our comments in the spirit of constructive engagement and hope that our discussion along with others in this Point‐Counterpoint will generate further explorations.     

A comparison between the log-linear and the parameterized expectations methods

This paper compares the performance of a log-linear method and a parameterized expectations method in solving a dynamic general equilibrium endogenous growth model with human capital. Quantitative evaluation based on second moment statistics shows that the results provided by the two numerical methods are very similar in this framework whenever the propagation mechanism of technology shocks is weak. However, the cross correlations of some relevant variables in the RBC literature obtained from the two methods are significantly different when the model exhibits a strong propagation mechanism. The parameterized expectations method captures the sensitiviness of second moment statistics to the curvature of the utility function while the log-linear method does not.