Economic shocks and lottery sales: an examination of Maine State lottery sales

ABSTRACT

Most U.S. states earn significant amount of revenues from lottery sales. However, they are also criticized for promoting the lotteries because they have been seen as taking advantage of poor populations. The purpose of this study is to identify the impact of various economic factors on lottery sales by using zip-code level sales within the state of Maine. The results show that an increase of 1% in unemployment rate results in a 0.38% increase in draw lottery sales, but it has no significant impact on instant lottery sales. This highlights the importance of differentiating between two major types of lotteries.     

我国彩票销售收人的实证分析——基于省际面板数据

本文利用2002-2010年我国31个省市区面板数据,运用固定效应模型分析了我国各省彩票销售收入的影响因素,发现各省市区经济发展水平、生活水平、百万大奖的个数、彩票投注终端机的密度是影响彩票销售收入的主要因素。结论是：以济困、公益等为宗旨和理念的彩票业已经陷入一个悖论;现阶段开展赛马博彩是一个可行选择。     

THE EFFECT OF CASINO PROXIMITY ON LOTTERY SALES: EVIDENCE FROM MARYLAND

The continued expansion of the casino industry has caused increasing concern regarding the cannibalization of other industries, and in particular, state lotteries. For example, Maryland Lottery sales flattened shortly after casinos began opening in the state. Although previous papers have found that casinos and lotteries have a negative relationship with each other, no previous research has analyzed the impact of casino proximity on lottery sales or has examined the relationship between casinos and different types of lottery games. In this paper, we examine ZIP code‐level monthly lottery sales data from Maryland between July 2009 and February 2014, in order to test the impact of casino proximity on lottery sales, by type of game. Our findings indicate that aggregate lottery sales decline more in closer proximity to casinos, but that casinos affect different lottery products differently. We discuss the consumer behavior and public finance implications of the findings. (JEL H27, H4, L83)     

Does the vector error correction model perform better than others in forecasting stock price? An application of residual income valuation theory

This paper employs a multi-equation model approach to consider three statistic problems (heteroskedasticity, endogeneity and persistency), which are sources of bias and inefficiency in the predictive regression models. This paper applied the residual income valuation model (RIM) proposed by Ohlson (1995) to forecast stock prices for Taiwan three sectors. We compare relative forecasting accuracy of vector error correction model (VECM) with the vector autoregressive model (VAR) as well as OLS and RW models used in the prior studies. We conduct out-of-sample forecasting and employ two instruments to assess forecasting performance. Our empirical results suggest that the VECM statistically outperforms other three models in forecasting stock prices. When forecasting horizons extend longer, VECM produces smaller forecasting errors and performs substantially better than VAR, suggesting that the ability of VECM to improve VAR forecast accuracy is stronger with longer horizons. These findings imply that an error correction term (ECT) of the VECM contributes to improving forecast accuracy of stock prices. Our economic significance analyses and robustness tests for different data frequency are in favor of the superiority of VECM estimator.     

What is the optimal design for lottery-linked savings programmes?

In this article, we determine the optimal design of lottery-linked savings (LLS) programmes. LLS vehicles, such as lottery bonds, are financial instruments that preserve depositors’ principal but provide randomized variable returns to these depositors through periodic lottery drawings, in lieu of the regular coupon payments traditionally received by bondholders. This type of asset is very popular in Europe. We note that the framing of LLS instruments is linked to their popularity, and we attempt to elucidate that link and thereby determine the optimal structure of payments for LLS programmes. Our goal is to frame LLS programmes in a manner that both maximizes their investors’ satisfaction and preserves their ability to serve as inexpensive sources of capital for their issuers. We demonstrate that the optimal pay-off structure is characterized by a high level of skewness, as investors are willing to accept a decrease in the small and medium prizes of the lottery in exchange for an increase in the grand prize. Thus, to attract a maximum number of depositors, the issuers of LLS programmes should prioritize the jackpot size relative to the other lottery pay-offs and insist on high skewness for the lottery pay-offs relating to the LLS assets.     

Technical change,technical efficiency,and input usage in Taiwanese agricultural growth

We analyse the increase in sales of Pick 3 and Pick 4 daily numbers lottery games and other Ohio Lottery games after Ohio introduced midday drawings for the Pick 3 and Pick 4 games in August 1999. The midday drawings increased Pick 3 sales by 5%, Pick 4 sales by 12%, and total lottery sales by 2% based on our analysis of a 36-month panel dataset of Ohio lottery sales by zip code. Midday drawings raise more revenue from the strongly regressive daily numbers games. However, the introduction of midday drawings does not change the negative income elasticities of demand for numbers games in an economically meaningful manner.     

Jackpot promotion model for Taiwan Lotto

Lotto was inaugurated in January 2002, and immediately became a popular activity in Taiwan; as the big craze following its initial introduction has subsided, the growth of Lotto game sales has slowed. To maintain lottery sales’ momentum, operators have conducted numerous jackpot promotions; this study examines the effectiveness of various jackpot promotional strategies. The analytical results can provide a valuable reference for operators and governmental authorities regarding ways of increasing lottery earnings. The empirical findings of this investigation include the following: (1) the effective price elasticity of Lotto is ?0.382; Taipei Fubon Bank can increase the revenue gained from Lotto by increasing the effective price; (2) operators can significantly increase lottery sales by declaring the jackpot as an unconditional added fixed or variable bonus.     

Lotto nothing? The budgetary impact of state lotteries

Lottery revenues are often touted as an independent revenue source for states. Using 32 years of state financial data, the fallacy of such thinking is demonstrated. Being the first to control for the self-selection of being a lottery state, it is found that overall tax revenues decline with increased lottery sales. Moreover, it is discovered that this decline is driven by a decrease in revenues from general sales and excise taxes, which is only partially offset by increases in income tax receipts. Such findings are attributed to a combination of behavioural and political responses following the lottery's implementation.     

Is aid for trade effective? A panel quantile regression approach

This paper investigates whether Aid for Trade (AfT) leads to greater exports in recipient countries. Using panel quantile regression and two strategies to address endogeneity (AfT lagged by two periods and dynamic OLS), our results suggest that total AfT disbursements promote the export of goods and services mainly for the lower quantiles (0.1, 0.25, 0.50) of the conditional distribution of exports. Hence, countries that export less in volume are those benefitting most from AfT. This effect is mainly driven by the impact on exports of goods rather than on that of services. We also investigate which types of AfT are effective when endogeneity is controlled for. The main results show that whereas aid to improve trade policy and regulation is associated with higher exports for all quantiles, aid used to build infrastructure is found to affect exports at only the lowest tails of the distribution (0.10–0.35) and aid to build productive capacity is generally more effective for the lower quantiles of the export distribution (0.10–0.50). In contrast, aid disbursed for general budget support (an untargeted type of aid) is not associated with greater export levels. This finding holds irrespective of the quantile.     

Neoclassical versus Frontier Production Models? Testing for the Skewness of Regression Residuals*

The empirical literature on production and cost functions is divided into two strands. The neoclassical approach concentrates on model parameters, while the frontier approach decomposes the disturbance term to a symmetric noise term and a positively skewed inefficiency term. We propose a theoretical justification for the skewness of the inefficiency term, arguing that this skewness is the key testable hypothesis of the frontier approach. We propose to test the regression residuals for skewness in order to distinguish the two competing approaches. Our test builds directly upon the asymmetry of regression residuals and does not require any prior distributional assumptions.     

An International Comparison and Analysis of Lotteries and the Distribution of Lottery Expenditures

Lotteries are found in nearly half of the world's countries, with annual worldwide lottery ticket sales topping $115 billion. Despite the global presence of lottery games, there has been little research conducted on any international aspect of lotteries. This paper presents the first-ever examination and comparison of lottery games from around the world. Differences in both absolute and relative lottery expenditures are presented. Estimates for the income elasticity of demand for lottery tickets provide evidence on the distributional burden of lottery expenditures. These estimates consider each country by continental location and country income level. Further analysis reveals that lower income countries could adopt Lotto games in order to increase revenues. Recognizing that the distributional impact of lottery games is one of the greatest concerns surrounding lotteries, it is shown that the introduction of Lotto games does not significantly affect the distributional burden of lottery ticket expenditures. Given the international scope of lotteries and the availability of international lottery game data, the paper concludes by discussing future research on international lottery games.     

Military in politics and budgetary allocations

This paper investigates the effect of military involvement in politics on budgetary allocations for defence. We employ a variety of econometric models, including pooled OLS and panel data with fixed effects and control for other known determinants of military spending. To deal with endogeneity issues, we also use an IV methodology and find that a higher degree of military involvement in policy-making increases the probability that the military obtain a larger share of output.     

Substitution between games in the UK national lottery

Virtually all lottery agencies offer a variety of games to suit the tastes of players in an attempt to maximize revenue to the government. Using the UK National Lottery, which offers a variety of on-line and scratchcard games, the extent to which there is substitution or complementarity between games is evaluated Employing weekly data from the three UKNL lottery games offered over the sample period, it is found that own-game characteristics have, by far, the largest influence on sales. Some evidence is found suggesting that the lotto and scratchcard games are partial substitutes for one another. Thunderball sales appear independent of the other two games. Some evidence is also found that the Wednesday and Saturday drawings of the lotto game are substitutes. The overall conclusion is that Camelot has successfully designed and marketed three games that each appeal to bettors in different ways. Thus, sales from one game do not seem to seriously cannibalize the sales of the other games, with the exceptions noted above. Further, the introduction of another, temporary game (Big Draw 2000) contributed to net sales. These results also suggest that the games do not appear to be complements to each other, indicating that the various arguments as to why the games may be so (transactions costs, brand awareness, and the portfolio effect) do not appear to be very strong.     

Growth, income distribution, and fiscal policy volatility

The relationship between income distribution and economic growth has long been an important economic research subject. Despite substantial evidence on the negative impact on long-term growth of inequality in the literature, however, there is not much consensus on the specific channels through which inequality affects growth. The empirical validity of two most prominent political economy channels - redistributive fiscal spending and taxes, and sociopolitical instability - has recently been challenged. We advance a new political economy channel for the negative link between inequality and growth, a fiscal policy volatility channel, and present strong supporting econometric evidence in a large sample of countries over the period of 1960-2000. Our finding also sheds light on another commonly observed negative relation between macroeconomic volatility and growth. We carefully address the robustness of the results in terms of data, estimation methods, outlier problem, and endogeneity problem that often plague the standard OLS (ordinary least squares) regression.     

Returns to schooling in Kazakhstan

This paper examines rates of return to schooling in Kazakhstan using OLS (Ordinary Least Squares) and instrumental variable (IV) methodologies. We use spouse's education and smoking as instruments. We find that spouse's education is a valid instrument and that conventional OLS estimates that assume the exogenous nature of schooling, and hence do not control for endogeneity bias, may underestimate the true rates of return. The results indicate that the returns to schooling in Kazakhstan have increased with transition. This may reflect the relative scarcities of highly educated people in Kazakhstan with human capital that employers require and, following the market reforms, reward accordingly.     

Advertising and the aggregate demand for cigarettes

The study specifies a model which explains aggregate demand for cigarettes in terms of price, income and advertising. Publicity about the health effects of smoking is treated as a form of ‘anti-advertising’. A distinctive feature is that an attempt is made to measure advertising in terms of ‘messages’ rather than using the more common, but theoretically inappropriate, expenditure measure. The model is tested against quarterly U.K. data for the period 1957 II to 1968 IV, using ordinary least squares (OLS) regression. The results suggest that advertising had a positive, statistically significant impact on sales, and that this impact was only partly offset by the amount of publicity given to the health effects of smoking.     

On the median regression for SURE models with applications to 3-generation immigrants data in Sweden

In this paper we generalize the median regression method to be applicable to system of regression equations, in particular SURE models. Giving the existence of proper system wise medians of the residuals from different equations, we apply the weighted median regression with the weights obtained from the covariance matrix of the equations obtained from ordinary SURE method. The benefit of this model in our case is that the SURE estimators utilise the information present in the cross regression (or equations) error correlation and hence more efficient than other estimation methods like the OLS method. The Seemingly Unrelated Median Regression Equations (SUMRE) models produce results that are more robust than the usual SURE or single equations OLS estimation when the distributions of the dependent variables are not normally distributed or the data are associated with outliers. Moreover, the results are also more efficient than is the cases of single equations median regressions when the residuals from the different equations are correlated. A theorem is derived and indicates that even if there is no statistically significant correlation between the equations, using SUMRE model instead of SURE models will not damage the estimation of parameters.     

Unemployment and output dynamics in CIS countries: Okun’s law revisited

Okun’s law is a well-known relationship between the change in the unemployment rate and output growth. The main objective of this article is to provide a rigorous econometric analysis of Okun’s law for several CIS countries using different models and theoretically justified econometric methods. The traditional approach to Okun’s law estimation using OLS regressions does not account for possible endogeneity of regressors and the implied inconsistency of the estimates obtained. These problems point out to incorrectness of applications of the standard OLS estimation techniques. Our study addresses these issues by using econometrically justified instrumental variable regression methods. The article provides the results and discussions on practical use of Okun’s relationships for evaluation of average effects of economic growth on the unemployment rate, and vice versa; importance of accounting for confidence intervals in applications of Okun’s models to economic development analysis and cross-country comparisons and evaluation of effects of crises and other structural shocks on the economies considered. We also discuss in detail the results of formal econometric tests and economic motivation for validity of instrumental variables used in the study. The formal econometric tests, together with economic arguments, allow us to determine the most appropriate Okun-type models for each of the CIS countries under consideration.     

Household responsibility system and China's agricultural Growth revisited: Addressing endogenous institutional change

The rise of the Household Responsibility System has been widely viewed as a significant contribution to China's agricultural growth. However, this empirical conclusion is rested upon a convenient but doubtful presumption that the process of institutional change, also known as decollectivization, is exogenous. We contribute to this literature by explicitly recognizing the endogeneity of institutional changes, and exploit exogenous variations in lagged weather shocks and initial fixed assets for consistent estimation. With improved data on irrigation, mechanization, weather and institutional changes in a provincial panel data during 1970–1987, the results of panel instrumental estimations reveal that the Household Responsibility System had a significantly positive effect on China's agricultural growth, which was larger than indicated by OLS estimates that suffer from adverse selection and attenuation biases.     

Tobit or OLS? An empirical evaluation under different diary window lengths

Researchers analysing time-use data often estimate limited dependent variable models because time spent must be nonnegative and cannot be more than the total amount of time in a given observation period. While the traditional empirical technique applied to such cases is maximum likelihood estimation of a Tobit (censored regression) model, recent debate has questioned whether linear models estimated via Ordinary Least Squares (OLS) are preferable. On the one hand, Tobit models are deemed necessary to address the significant censoring (i.e. large numbers of zeroes) typically found in time-use data, in the face of which OLS estimators would be biased and inconsistent. Yet, optimization occurs over a longer period than that covered by the typical time diary (often a day), and thus some argue that reported zeroes represent a measurement problem rather than true nonparticipation in the activity, in which case OLS would be preferred. We provide direct empirical evidence on this question using the Australian Time Use Surveys, which record time-use information for two consecutive diary days, by estimating censored and linear versions of a parental child care model for both 24-hour and 48-hour windows of observation in order to determine the empirical consequences of estimation technique and diary length.