A LOTTO SYSTEMS PROBLEM

A Lotto Systems bet allows the player to nominate n numbers from which (s)he believes the winning six numbers will be drawn, and to bet on all combinations of six of these n numbers. Assume that the winning six numbers come from the nominated n. How many combinations must be entered to guarantee that one combination will include at least five of the winning six numbers? The problem is generalized in this paper, and the method of simulated annealing is used to find solutions for various situations. The case where two supplementary numbers are drawn after the initial six winning numbers is also considered.     

罗默社会公正思想的方法论意义

当代美国著名经济学家和政治哲学家罗默的阶级—剥削对应理论是通过使用了理性选择的个人主义方法论原则中的"合作博弈"理论阐述了其社会公正思想。其独特研究方法的运用,丰富和发展了马克思主义剥削与阶级理论,对于我国现阶段社会公正理论的确立具有一定的借鉴意义。     

Demand for gambling: development and assessment of a gambling purchase task

Self-report purchase tasks are a novel approach examining the reinforcing value of addictive behaviour relative to increasing monetary costs required to access the addictive behaviour (i.e. demand). These measures reveal a positive relationship between the indices of demand and addiction problem severity and can elucidate factors associated with motivation for substance use. Gambling is an addictive behaviour that has not been examined using this paradigm. This study seeks to adapt and examine the purchase task for gambling behaviour. A gambling purchase task was devised that asked individuals how often per month they would gamble at various cover charges. Participants were 73 adults from the community with either gambling disorder (n = 28) or alcohol use disorder (n = 24) or were a healthy control (n = 21). Both the alcohol and gambling purchase tasks were administered. Results demonstrate discriminant validity of the gambling purchase task, as individuals with gambling disorder have significantly greater demand for accessing gambling than other groups. The alcohol purchase task also evidenced discriminant validity in that individuals with alcohol use disorder have significantly greater demand for alcohol than other groups. These findings support the use of the gambling purchase task to assess the demand for gambling.     

Forms of gambling,gambling involvement and problem gambling: evidence from a Swedish population survey

The purpose of this study was to explore the association between problem gambling (PG) and participation in different forms of gambling in order to elucidate relationships between PG, gambling involvement and gambling intensity. Using data from the first wave of the Swedish Longitudinal Gambling Study (Swelogs) (n = 4,991), the study tested four hypotheses, namely that (1) some forms of gambling are more closely associated with PG than other forms; (2) high gambling involvement is associated with PG; (3) gambling involvement is positively associated with the intensity of gambling; and (4) the relationship between gambling involvement and PG is influenced by the specific forms of gambling in which individuals participate. All four hypotheses were supported. More specifically, the study found that while many PGs regularly participate in multiple forms of gambling, half of PGs participate regularly in only one or two forms of gambling. The study concluded that some forms of gambling are more closely associated with problem gambling than other forms, and that gambling policy and regulation, as well as the development of responsible gambling initiatives, should focus on these forms.     

Gambling motivations and superstitious beliefs: a cross-cultural study with casino customers

The expansion of legalized commercial gaming in Macau has motivated stakeholders to explore opportunities in other Asian countries. However, there is a lack of research focusing on casino customers in these markets. Thus, the purpose of this study is to explore gambling superstitious beliefs and motivations of those visiting a casino in South Korea, and how these factors are different across four ethnic groups. The researchers surveyed 323 casino customers in the lounge area on the casino floor, including Americans, Chinese, Japanese, and Koreans living abroad. This study found American gamblers could be characterized as more superstitious than Japanese gamblers, while the Chinese and American gamblers exhibited many similarities regarding the pattern of superstitious beliefs that they were most likely to endorse. The findings also suggest the culture and the area around the casino might be more important to Chinese, while novelty to Japanese and winning money to Korean gamblers are seen as most important. This study contributes to gambling literature by examining gamblers’ beliefs and motives in a different setting with more diverse populations than those in previous studies. The findings of this study will help casino operators properly develop and adjust strategies to thrive in the Asian marketplace.     

Cognitive distortions predict future gambling involvement

Disordered gambling is best conceptualized as a continuum of severity. Previous research has demonstrated the utility of studying individuals at all points of this spectrum. The sequence of the development of gambling problems and change in gambling involvement along this continuum of severity is not well understood. The present study examined the interplay between cognitive distortions and gambling involvement in a population sample recruited in Alberta, Canada. Data from 1372 participants over 4 assessment waves (5 years) were used to generate a 2-factor latent structure using gambling fallacies and gambling involvement measurements. Structural equation modelling showed that cognitive distortions more strongly predicted future gambling involvement than the reverse relationship, using the comparative fit index (CFI) and the root mean square error of approximation (RMSEA) to assess the models. In addition, cognitive distortions declined over time, whereas gambling involvement remained stable. The results of the study suggest that focusing primarily on cognitive mechanisms in public health initiatives for gambling disorders may be a more effective strategy than focusing on behavioural solutions.     

Pathways and transitions of gamblers over two years

Moderate-risk and problem gamblers represent 1.4% and 0.4% of the Québec population, respectively. Research on gamblers’ trajectories has been hampered by methodological shortcomings leading to heterogeneous results. The present research was conducted in the Province of Québec with a representative sample of adult gamblers and aims to explore how gamblers change over time according to the severity of their gambling problems. Using a 2-year follow-up prospective design (3 waves), 179 gamblers selected from a representative survey were divided into the 4 PGSI (Problem Gambling Severity Index) categories. Beyond the decreasing trend in PGSI scores detected within the overall sample using a linear growth model, our analyses revealed that moderate-risk gamblers are heterogeneous in their composition and evolution, comprising stable moderate-risk, recent cases and former problem gamblers. Over three waves, one-third of moderate-risk gamblers improved, one-third remained stable and one-third became problem gamblers. The subgroups transitioning in and out of the moderate-risk category differed in terms of reported changes in gambling behaviours and consequences. Problem gamblers remain vulnerable over time, being at risk of experiencing chronic problems. Results highlight the necessity of subgroup-specific prevention programmes and treatment services that address both the non-linearity of risky gambling and the chronicity of problem gambling.     

Changes in risky gambling prevalence among a New Zealand population cohort

Evidence suggests that problem gambling is an unstable state where gamblers move into and out of risk over time. This article looks at longitudinal changes in risky gambling and the factors associated with an increased risk (measured by the Problem Gambling Severity Index [PGSI]) in the current New Zealand context, which has experienced a doubling of the electronic gaming machine (EGM) market over the last two decades. Respondents from a nationally representative baseline sample (n = 2672) were recontacted two years later to assess changes in gambling behaviours. Among the 901 respondents reached at follow-up, average gambling risk increased over time, and the prevalence of those who had at least some level of gambling risk (i.e. low-risk or greater) more than doubled (from 4.7% to 12.4%). The majority (80.2%) of those who were at risk at follow-up had not been at risk at baseline. Multivariate linear regression analyses show that the predictors of low to moderate increased risk include Pacific ethnicity; high neighbourhood deprivation status; baseline frequent, continuous gambler type; baseline PGSI status; and playing EGMs. These findings highlight the need to develop theories of gambling addiction trajectories and to identify the earliest point along the trajectory where public health interventions should occur.     

Lessons from the Grey Area: A Closer Inspection of At-risk Gamblers

The study takes a closer look at at-risk gamblers, with the objective to see how they differ from no-risk gamblers. The data comes from a national gambling survey in 2002, and the age group is 15–74 years. The sample consists of 4188 current gamblers with no current gambling problems or pathology. The analysis includes cross-tabulations and a logistic regression. The results show that at-risk gamblers differed substantially from no-risk gamblers in terms of demographic characteristics, gambling behaviour and the presence of other assumed risk factors. Demographic segments with a higher risk of falling into the at-risk group are men, young people, divorced or single people, and non-western immigrants. Furthermore, gambling problems in the family, beginners luck and misconceptions about winning chances significantly increased the odds for at-risk gambling. The study concludes that at-risk gamblers deserve more attention from research, that their similarity with problem gamblers increases the likelihood that many of them will eventually develop a gambling problem, and that their tendency to be superstitious about winning chances might be exploited in preventive work.     

Gambling Behavior of Student-Athletes and a Student Cohort: What are the Odds?

This study investigated the prevalence of gambling, gambling related NCAA violations, and disordered gambling in student-athletes (n = 736) with a comparison cohort of students (n = 1,071) at four universities. Student-athletes reported similar rates of gambling frequency, use of a bookmaker, and disordered gambling as students. After accounting for demographic differences, student-athletes were less likely to engage in sports wagering than students. Several risk factors for disordered gambling were identified, including being male and reporting at least one parent with a history of gambling problems. These findings suggest that problems associated with gambling are a university-wide issue with student-athletes meriting additional attention because of implications for the integrity of intercollegiate sports. Improved prevention and intervention efforts for collegiate gambling are recommended.