On the Arrow and Wilson impossibility theorems

A social welfare function is Arrovian if it is transitive-valued and satisfies IIA. We examine the logical relation between the statements (A) If f is Arrovian with domain 𝒫 then it is dictatorial if it satisfies the Pareto criterion and (W) If f is Arrovian with domain 𝒫 then it is dictatorial or inversely dictatorial if it is non-null and satisfies non-imposition. We exhibit a class of domains on which W implies A and another on which A implies W. We also present examples of domains on which one of the statements is true and the other is false. Received: 23 October 2001/Accepted: 19 March 2002 We thank our two referees for their suggestions for improving the exposition.     

A NEW TECHNOLOGY FOR TEACHING/LEARNING MARITAL AND FAMILY THERAPY

A computer technology known as Group Support Systems (GSS) was pilot tested in a doctoral marital and family therapy (MFT) course to explore its usefulness in teaching/learning marital and family therapy. GSS allowed participants to combine face-to-face interaction with dialogue structured by GSS on personal computers. Through linked computers, each participant contributed to group discussions both simultaneously and anonymously. GSS was used to discuss a videotape, to conduct two role plays, and to write this paper. GSS was found to improve brain-storming, enhance collaboration, reduce hierarchical status among participants, increase self-reflection, create a trusting environment, and promote group-supported active learning. Recommendations for further MFT teaching, research, and application of GSS are presented.     

Liberals,information and Webster's principles

Critiques two social choice principles employed by Webster's analysis of using information to resolve Sen's paradox of the Impossibility of a Paretian Liberal.     

CWD Prevalence,Perceived Human Health Risks,and State Influences on Deer Hunting Participation

This study examined factors predicted by previous research to influence hunters’ decisions to stop hunting deer in a state. Data were obtained from mail surveys of resident and nonresident deer hunters in Arizona, North Dakota, South Dakota, and Wisconsin (n = 3,518). Hunters were presented with six scenarios depicting hypothetical CWD prevalence levels and human health risks from the disease (e.g., death), and asked if they would continue or stop hunting deer in the state. Bivariate analyses examined the influence of five predictor variables: (a) CWD prevalence, (b) hypothetical human death from CWD, (c) perceived human health risks from CWD, (d) state, and (e) residency. In the bivariate analyses, prevalence was the strongest predictor of quitting hunting in the state followed by hypothetical human death and perceived risk. The presence of CWD in a state and residency were weak, but statistically significant, predictors. Interactions among these predictors increased the potential for stopping hunting in the state. Multivariate analyses suggested that 64% of our respondents would quit hunting in the worst‐case scenario.     

Conservative confidence intervals for a single parameter

The method of constructing confidence intervals from hypothesis tests is studied in the case in which there is a single unknown parameter and is proved to provide confidence intervals with coverage probability that is at least the nominal level. The confidence intervals obtained by the method in several different contexts are seen to compare favorably with confidence intervals obtained by traditional methods. The traditional intervals are seen to have coverage probability less than the nominal level in several instances, This method can be applied to all confidence interval problems and reduces to the traditional method when an exact pivotal statistic is known.     

Contrasts and Commonalities: Hispanic and Anglo Farming in Conejos County,Colorado

Abstract The San Luis Valley farming systems' project sought to identify improved technologies and better decision-making capabilities for modest-sized and limited-resource farms. Characteristics of limited-resource farms operated by Hispanic and Anglo families, which may or may not be associated with differential rates of social participation and/or institutional discrimination, were examined. To determine characteristics of client farms, data were collected and stratified on farm resources, farm operations, goal hierarchies, and operational management strategies. Hispanic and Anglo farmers differed significantly in several respects. Key among these differences were crop and livestock enterprise mixes and the importance of off-farm income to households. For many farming parameters, farm size, age of farmer, and full-time/part-time characteristics overshadowed ethnicity as a determinant of decision-making. However, an important subset of the farm population is composed of Hispanic farmers who operate below median farm acreage on a part-time basis and for whom few technological developments or assistance programs are specifically designed or delivered.