Touching points of s star-shaped set with an affine subspace

AbstractThe paper studies the following problem. Given a linear subspace L ⊂ Rn of dimension k, 1 ⩽ k ⩽ n – 1, the point x ∃ Rn, x ∉ L, and a star-shaped set A ⊂ Rn, characterize those τ> 0 for which L + x touches τA, and, if this is the case, describe the set τ cl(A)∩(L + x). Here A is star-shaped if λA ⊆ A for all 0 ⩽ λ ⩽ 1, L + x touches τA if L + x meets τA only on the boundary, and cl(A) means the closure of A. The problem is solved for two kinds of sets: convex A such that the origin θ is contained in the relative interior of A, and A equals to the closed unit ɭp-ball Gp for some 0 < p < 1. For convex A the set L⊥ ∩ A∗ plays a crucial role, where A∗ ≔ {z ∃ Rn:⇄z,y↩ ⩽ 1 for all y ∈ A} is the polar of A, and L⊊ is the orthogonal complement subspace to L. For Gp the problem is solved by a special geometrical construction based on “coordinate” subspaces RT such that L ∩ RT = {θ}

Effectiveness of a self-help cognitive behavioural treatment program for problem gamblers: a randomised controlled trial

The study aimed to strengthen the scarce literature on self-help treatments for Problem Gambling (PG) by comparing the effectiveness of a Self-Help Cognitive Behavioral Treatment (SHCBT) program (n\ua0=\ua023) with a 6-week Waitlist condition (n\ua0=\ua032) in problem gamblers. Participants were community volunteers with gambling problems and were randomly allocated to the Waitlist and treatment conditions. Results showed significant improvements at post-treatment in gambling behaviors including frequency of gambling, average amount gambled per day and PG symptoms as well as a number of gambling correlates including psychological states (e.g., depression, anxiety and stress), gambling cognitions, gambling urges, gambling related self-efficacy, satisfaction with life, and quality of life among those who completed the SHCBT program, when compared with the waitlist condition. The effect size (partial η) ranged from .25 to .57 for all assessed outcomes that showed significant improvement from pre- to post-treatment. It was concluded that a self-help CBT program can be beneficial for treating community problem gamblers

The relation between personal relative deprivation and the urge to gamble among gamblers is moderated by problem gambling severity: A meta-analysis

One psychosocial factor that has been identified to motivate gambling is personal relative deprivation (PRD), which refers to resentment stemming from the belief that one is deprived of a desired and deserved outcome compared to some referent. Although several lines of evidence point to a positive association between PRD and the urge to gamble, the factors that might moderate this relation have yet to be investigated. Through a quantitative research synthesis, we sought to test (a) the overall relation between PRD and gambling urges among people reporting recent gambling experience, and (b) whether this relation is moderated by problem gambling severity. Meta-analysis revealed that, overall, higher self-reported PRD was associated with stronger urges to gamble (r= .26). A meta-regression revealed that, across studies, the strength of this relation depended on problem gambling severity, such that the relation between PRD and gambling urges was stronger among samples higher in average problem gambling severity. This pattern was corroborated by an analysis of the aggregated individual participant data (N= 857), such that PRD predicted gambling urges only among participants higher in problem gambling severity. The potential practical implications and limitations of these results are discussed

A comparison of online versus offline gambling harm in Portuguese pathological gamblers: an empirical study

Over the past decade, gambling has become a very popular activity across Europe including the growth of Internet gambling. Portugal is one of the few European countries where little research has been carried out. Given the lack of studies, a Portuguese sample (N = 1,599) was surveyed concerning their online and offline gambling habits. More specifically, the aim of this study was to identify and compare from the total sample, online pathological gamblers (PGON) (n = 171) and offline pathological gamblers' (PGOF) (n = 171) characteristics, and eventual risk factors for the development of problem gambling. Results demonstrated that PGON had different profiles compared to PGOF, although there were also similarities. Situational characteristics were much more significant for PGON than PGOF (e.g., availability, accessibility, affordability), but PGOF had higher scores than PGON on factors concerning individual characteristics (e.g., intensity of feelings while gambling, depression, suicidal ideation, etc.). Findings also showed differences concerning attitudes toward responsible gambling measures. The fact that situational characteristics are more attractive to online gamblers confirms differences between PGON and PGOF and suggests that this preferred attractiveness may enhance problem gambling potential. Further research is needed to better understand the interaction between Internet situational characteristics and the individual characteristics of gamblers, as well as the profile of the growing population of gamblers that uses both online and offline modes to gamble

Psychometric properties of the Italian versions of the Gambling Urge Scale (GUS) and the Gambling Refusal Self-Efficacy Questionnaire (GRSEQ)

Gambling urges and gambling refusal self-efficacy beliefs play a major role in the development and maintenance of problem gambling. This study aimed to translate the Gambling Urge Scale (GUS) and the Gambling Refusal Self-Efficacy Questionnaire (GRSEQ) from English to Italian (GUS-I, GRSEQ-I) and to test their factor structure, internal consistency, construct validity, concurrent validity, and gender differences in 513 individuals from the Italian community. Factor structure and construct validity were tested through Confirmatory Factor Analysis, internal consistency through Cronbach’s alpha, concurrent validity through correlations with gambling-related cognitions (GRCS-I), probable pathological gambling (SOGS-I), and gambling functioning (GFA-R-I). Results confirmed that the 6 items of the GUS-I load highly on one dimension of Gambling Urge, and each of the 26 items of the GRSEQ-I load highly on their relevant sub-dimension, among the following: situations/thoughts, drugs, positive emotions, negative emotions. Both scales are internally consistent and show concurrent validity with gambling-related cognitions, probable pathological gambling, and gambling functioning. Males score higher than females at the GUS-I; females score higher than males at the GRSEQ-I. The findings from the present study suggest that the GUS-I and the GRSEQ-I are internally consistent and valid scales for the assessment of gambling urges and gambling refusal self-efficacy in Italian individuals from the community, with significant repercussions in terms of assessment, prevention, and intervention

Chinese beliefs in luck are linked to gambling problems via strengthened cognitive biases:A mediation test

10.1007/s10899-017-9690-6Journal of gambling studies3341325-133

Measurement invariance of the nine-item Internet Gaming Disorder Scale (IGDS9-SF) across Albania, USA, UK, and Italy

The IGDS9-SF, which assesses Internet Gaming Disorder behaviors, has been validated in a number of countries (Portugal, Italy, Iran, Slovenia), although the psychometric equivalence of the instrument has been assessed only across Australia, the USA, the UK, and India. This research aimed at providing further cross-cultural insights into IGD by assessing the factorial structure of the IGDS9-SF in Albania and investigating its measurement invariance across Albanian, Italian, American, and British gamers. Multi-Group Confirmatory Factor Analyses were performed on a sample of 1411 participants from Albania (n=228), USA (n=237), the UK (n=275), and Italy (n=671). The CFAs confirmed the single-factor structure in the four countries. Measurement invariance supported the configural invariance and partially supported the metric and scalar invariance. Overall, the findings provided evidence for the underlying factor assessing IGD across the countries, although the specific meaning of the construct was non-identical

Mixed emotions to near-miss outcomes: a psychophysiological study with facial electromyography

Near-misses occur across many forms of gambling and are rated as unpleasant while simultaneously increasing the motivation to continue playing. On slot machines, the icon position relative to the payline moderates the effects of near-misses, with near-misses before the payline increasing motivation, and near-misses after the payline being rated as aversive. Near-misses are also known to increase physiological arousal compared to full-misses, but physiological measures to date have not been able to dissociate positive and negative emotional responses. The present study measured facial electromyography at the corrugator (brow) and zygomaticus (cheek) sites, as well as electrodermal activity (EDA), following gambling outcomes on a two-reel slot machine simulation in 77 novice gamblers. Behavioral data was collected using trial-by-trial ratings of motivation and valence. Wins were rated as more pleasant and increased motivation to continue playing, compared to non-win outcomes. Wins were also accompanied by increased EDA and zygomaticus activity. Near-misses after the payline were rated as more aversive than other non-wins, and this was accompanied by increased EDA and zygomaticus activity. Near-misses before the payline increased motivation to continue playing, and were accompanied by increased EDA. Thus, both subjective and physiological responses to near-misses differ for events falling either side of the payline. The ‘near-miss effect’ is not a unitary phenomenon. Facial EMG has differential sensitivity to positive and negative valence and may be a useful measure for future studies of gambling behavior

Decision-making, cognitive distortions and alcohol use in adolescent problem and non-problem gamblers: an experimental study

In the psychological literature, many studies have investigated the neuropsychological and behavioral changes that occur developmentally during adolescence. These studies have consistently observed a deficit in the decision-making ability of children and adolescents. This deficit has been ascribed to incomplete brain development. The same deficit has also been observed in adult problem and pathological gamblers. However, to date, no study has examined decision-making in adolescents with and without gambling problems. Furthermore, no study has ever examined associations between problem gambling, decision-making, cognitive distortions and alcohol use in youth. To address these issues, 104 male adolescents participated in this study. They were equally divided in two groups, problem gamblers and non-problem gamblers, based on South Oaks Gambling Screen Revised for Adolescents scores. All participants performed the Iowa Gambling Task and completed the Gambling Related Cognitions Scale and the Alcohol Use Disorders Identification Test. Adolescent problem gamblers displayed impaired decision-making, reported high cognitive distortions, and had more problematic alcohol use compared to non-problem gamblers. Strong correlations between problem gambling, alcohol use, and cognitive distortions were observed. Decision-making correlated with interpretative bias. This study demonstrated that adolescent problem gamblers appear to have the same psychological profile as adult problem gamblers and that gambling involvement can negatively impact on decision-making ability that, in adolescence, is still developing. The correlations between interpretative bias and decision-making suggested that the beliefs in the ability to influence gambling outcomes may facilitate decision-making impairment