Strategy-proofness and the reluctance to make large lies: the case of weak orders

This article incorporates agents’ reluctance to make a large lie into an analysis. A social choice rule is D(k)-proof if the rule is nonmanipulable by false preferences within k distance from the sincere one, where k is a positive integer. If D(k)-proofness is not logically equivalent to strategy-proofness, then agents’ reluctance to make a large lie embodied in D(k)-proofness is effective to construct a nonmanipulable rule. This article considers weak orders as agents’ preferences. I prove that on the universal domain, D(k)-proofness is equivalent to strategy-proofness if and only if k ≥ m ? 1, where m is the number of alternatives. Moreover, I find a sufficient condition on a domain for the equivalence of D(1)-proofness and strategy-proofness.     

Bootstrapping Spatial Median for Location Problems

In multivariate location problems, the sample mean is most widely used, having various advantages. It is, however, very sensitive to outlying observations and inefficient for data from heavy tailed distributions. In this situation, the spatial median is more robust than the sample mean and could be a reasonable alternative. We reviewed several spatial median based testing methods for multivariate location and compared their significance level and power through Monte Carlo simulations. The results show that bootstrap method is efficient for the estimation of the covariance matrix of the sample spatial median. We also proposed bootstrap simultaneous confidence intervals based on the spatial median for multiple comparisons in the multi-sample case.     

Hygiene, Medicine, and Modernity in Korea, 1876–1910

Modernity in relation to medicine and the body is central to discussions on modernity in Korea. I have chosen to write this paper I have already penned several writings that are related to the topic: modern hygiene, cleanliness, medical service, and medicine. First topic is about the contrast between premodernity and modernity by comparing the prevalence of cholera in the early nineteenth and the early twentieth century. I discussed the new Western hygiene to control cholera decisively contributing to the destruction of the Confucian worldview and the generation of a new colonial modern order as well as preventing an epidemic, cholera. Second topic is about the dichotomy between cleanliness—cultured and uncleanliness—barbarity. Because it was related to the five senses, the discourse of uncleanliness and cleanliness could bring about an immediate effect, which made it the most elementary and primary discourse of modernity in Korea. Third topic is about premodern bodies in topknots and modern bodies in short hair. From among the incidents and topics that I studied then, the most impressive and extreme case regarding the relationship between the body and hygiene was that of the Cut Topknot Act (斷髮令). According to this decree, there were two main reasons for cutting off topknots: hygiene and convenience. Underlying them is the idea that long hair harms political reform and national enrichment. Indeed, this legislation had served as the battleground for a fierce war between modern standards and premodern traditions. Fourth topic is about the modernizing phase of health care system in Korea between 1876 and 1910. The health care system in Korea underwent tremendous changes from 1876 to 1910. In this process, the recently imported Western practices gradually came to occupy the center and existing practices were delegated to the periphery. Final topic is about the sanitation movement that believers of Ch’ ǒntokyo initiated around the twentieth century. This voluntary movement was greatly different from the two external and forced modernizations by Japanese imperialism and Western missionaries.

The factoring likelihood method for non-monotone missing data

We address the problem of parameter estimation in multivariate distributions under ignorable non-monotone missing data. The factoring likelihood method for monotone missing data, termed by Rubin (1974), is applied to a more general case of non-monotone missing data. The proposed method is asymptotically equivalent to the Fisher scoring method from the observed likelihood, but avoids the burden of computing the first and second partial derivatives of the observed likelihood. Instead, the maximum likelihood estimates and their information matrices for each partition of the data set are computed separately and combined naturally using the generalized least squares method. A numerical example is presented to illustrate the method.     

An RKHS framework for functional data analysis

Linear combinations of random variables play a crucial role in multivariate analysis. Two extension of this concept are considered for functional data and shown to coincide using the Loève–Parzen reproducing kernel Hilbert space representation of a stochastic process. This theory is then used to provide an extension of the multivariate concept of canonical correlation. A solution to the regression problem of best linear unbiased prediction is obtained from this abstract canonical correlation formulation. The classical identities of Lawley and Rao that lead to canonical factor analysis are also generalized to the functional data setting. Finally, the relationship between Fisher's linear discriminant analysis and canonical correlation analysis for random vectors is extended to include situations with function-valued random elements. This allows for classification using the canonical Y scores and related distance measures.     

Assimilation by the third generation? Marital choices of white ethnics at the dawn of the twentieth century

It is well known that marital ethnic endogamy declines by immigrant generation, but there is little information on how many generations are required for full marital assimilation. This study for 1880-1910 includes information on the birthplace of men’s grandparents, so we can compare the first, second, third, and later generations. We estimate the odds of marrying a native white woman with native-born parents (NWNP) for Irish, Germans, British, and men of other ethnicities. Most groups even in their third generation still show a significantly lower rate of marital assimilation than native stock men. But mixed ancestry (having at least one NWNP parent or grandparent) can result in nearly complete marital assimilation by the third generation.     

Association Study on Pathological Gambling and Polymorphisms of Dopamine D1, D2, D3, and D4 Receptor Genes in a Korean Population

Several studies have reported that some dopaminergic receptor polymorphisms are associated with pathological gambling (PG). Considering that there are major race and ethnic group difference in dopaminergic polymorphisms, the result of genetic association studies should be confirmed in more homogeneous population to avoid problems of population stratification. The present study aimed to investigate whether selected polymorphisms in the dopamine receptors genes (DRD1, DRD2, DRD3, and DRD4) are associated with PG in Korean population which is consisted of only Korean ancestry. Subjects were 104 men with a diagnosis of PG and 114 unrelated age-matched normal control men. Genotyping was performed for the DRD1 gene -48 A/G, DRD2 gene TaqI A, DRD3 gene Ser9Gly, and DRD4 gene exon III variable number tandem repeat polymorphisms. The method of multifactor dimensionality reduction (MDR) was used to analyze gene-gene interactions. There were no differences in the frequencies of any studied polymorphisms between patients with PG and normal controls. MDR analysis did not show a significant effect of the 4 dopamine receptor gene polymorphisms on susceptibility to PG (P > 0.05). The present study suggests that the analyzed polymorphisms of the dopamine receptor genes might not be associated with PG in a Korean population.     

Toward a Composite Measure of Green Consumption: An Exploratory Study Using a Korean Sample

This study developed a composite measure of green consumption behaviors, incorporating multiple dimensions of green consumption behaviors. As a result of an extensive literature review, four value orientations were proposed: health-related egoistic value orientation, resource-related egoistic value orientation, altruistic value orientation, and biospheric value orientation. And a composite measure of green consumption which measured green consumption behavior manifesting the suggested value orientations were proposed and empirically tested using a Korean sample. After empirical testing and validating the proposed composite measure according to the measurement validation procedure proposed by Nunnally (New York: McGraw-Hill Book Company, 1978), the composite measure of green consumption behaviors was revised to three dimensions of green consumption behaviors: health-conscious green consumption behavior, resource-conscious green consumption behavior, and socially conscious green consumption behavior that combined originally suggested altruistic and biospheric value orientations. A multivariate regression analysis was employed to test the usability of the composite measure of green consumption behaviors and to identify the determinants of green consumption behaviors. As hypothesized, the results of regression analysis showed that perceived consumer effectiveness, reference persons, and perceived market situation are significant determinants of green consumption behaviors, and the effects of environmental concern and socioeconomics are limited. Based on these findings, public policy and marketing implications that promote green consumption are also proposed.     

On strategy-proof social choice under categorization

I consider social choice problems such that (i) the set of alternatives can be partitioned into categories based on a prominent and objective feature and (ii) agents have strict preferences over the alternatives. Main results are characterizations of the structure of the strategy-proof social choice functions. I prove that each social choice function is strategy-proof if and only if it is decomposable into “small” strategy-proof social choice functions; one of them chooses one category and each of the others chooses one alternative from a category.     

A fundamental structure of strategy-proof social choice correspondences with restricted preferences over alternatives

I prove that under each strategy-proof and unanimous social choice correspondence, there is at least one agent who is decisive. Because the result is established on a weak requirement on preferences over sets, the existence of a decisive agent is an underlying feature of most strategy-proof and unanimous social choice correspondences. Moreover, I consider a restriction on the space of preferences over alternatives. I prove that circular sets of preferences over alternatives are sufficient for the existence of a decisive agent.