Technology Solutions for Developmental Math: An Overview of Current and Emerging Practices

Reviews current practices in and strategies for incorporating innovative technology into the teaching of remedial math at the college level. Outlines challenges, emerging trends, and ways to combine technology with new concepts of instructional strategy

Rationality on the Rise: Why Relative Risk Aversion Increases with Stake Size

How does risk tolerance vary with stake size? This important question cannot be adequately answered if framing effects, nonlinear probability weighting, and heterogeneity of preference types are neglected. We show that, contrary to gains, no coherent change in relative risk aversion is observed for losses. The increase in relative risk aversion over gains cannot be captured by the curvature of the utility function. It is driven predominantly by a change in probability weighting of a majority group of individuals who exhibit more rational probability weighting at high stakes. These results not only challenge expected utility theory, but also prospect theory.Risk Aversion, Stake-Size Effect, Prospect Theory, Latent Heterogeneity

Risk and Rationality: Uncovering Heterogeneity in Probability Distortion

It has long been recognized that there is considerable heterogeneity in individual risk taking behavior but little is known about the distribution of risk taking types. We present a parsimonious characterization of risk taking behavior by estimating a finite mixture regression model for three different experimental data sets, two Swiss and one Chinese, over a large number of real gains and losses. We find two distinct types of individuals: In all three data sets, the choices of roughly 80% of the subjects exhibit significant deviations from rational probability weighting consistent with prospect theory. 20% of the subjects weight probabilities linearly and behave essentially as expected value maximizers. Moreover, the individuals are assigned to one of these two groups with probabilities of close to one resulting in a low measure of entropy. The reliability and robustness of our classification suggest using a mix of preference theories in applied economic modeling.individual risk taking behavior, latent heterogeneity, finite mixture regression models

Rationality on the rise: Why relative risk aversion increases with stake size

How does risk tolerance vary with stake size? This important question cannot be adequately answered if framing effects, nonlinear probability weighting, and heterogeneity of preference types are neglected. We show that the observed increase in relative risk aversion over gains cannot be captured by the curvature of the value function. Rather, it is predominantly driven by a change in probability weighting of a majority group of individuals who weight probabilities of high gains more conservatively. Contrary to gains, no coherent change in relative risk aversion is observed for losses. These results not only challenge expected utility theory, but also prospect theor

Viewing the future through a warped lens: Why uncertainty generates hyperbolic discounting

A large body of experimental research has demonstrated that, on average, people violate the axioms of expected utility theory as well as of discounted utility theory. In particular, aggregate behavior is best characterized by probability distortions and hyperbolic discounting. But is it the same people who are prone to these behaviors? Based on an experiment with salient monetary incentives we demonstrate that there is a strong and significant relationship between greater departures from linear probability weighting and the degree of decreasing discount rates at the level of individual behavior. We argue that this relationship can be rationalized by the uncertainty inherent in any future event, linking discounting behavior directly to risk preferences. Consequently, decreasing discount rates may be generated by people's proneness to probability distortion

Parenting values and the intergenerational transmission of time preferences

We study how parents transmit patience to their children with a focus on two theoretically important channels of socialization: parenting values and parental involvement. Using high-quality administrative and survey data, and a setting without reverse causality concerns, we document a substantial intergenerational transmission of patience. We show that parenting values represent a key channel of the transmission. Authoritative parents (high in control and warmth) do not transmit patience to their children, in contrast to authoritarian and permissive parents. Thus, the authoritative parenting style seems to counteract the transmission of impatience. While parental involvement does not appear to be a relevant channel at the aggregate level, we document important heterogeneity by parent gender

Social preferences and redistributive politics

Increasing inequality and associated egalitarian sentiments have put redistribution on the political agenda. In this paper, we take advantage of Swiss direct democracy, where people voted several times on strongly redistributive policies in national plebiscites, to study the link between social preferences and a behaviorally validated measure of support for redistribution in a broad sample of the Swiss population. Using a novel nonparametric Bayesian clustering algorithm, we uncover the existence of three fundamentally distinct preference types in the population: predominantly selfish, inequality averse and altruistic individuals. We show that inequality averse and altruistic individuals display a much stronger support for redistribution, particularly if they are more affluent. In addition, we show that previously identified key motives underlying opposition to redistribution – such as the belief that effort is an important driver of individual success – play no role for selfish individuals but are highly relevant for other-regarding individuals. Finally, while inequality averse individuals display strong support for policies that primarily aim to reduce the incomes of the rich, altruistic individuals are considerably less supportive of these policies. Thus, knowledge about the qualitative properties of social preferences and their distribution in the population also provides insights into which preference type supports specific redistributive policies, which has implications for how policy makers may design redistributive packages to maximize political support for them

Risk in Time: The Intertwined Nature of Risk Taking and Time Discounting

Standard economic models view risk taking and time discounting as two independent dimensions of decision making. However, mounting experimental evidence demonstrates striking parallels in patterns of risk taking and time discounting behavior and systematic interaction effects, which suggests that there may be common underlying forces driving these interactions. Here, we show that the inherent uncertainty associated with future prospects together with individuals’ proneness to probability weighting generates a unifying framework for explaining a large number of puzzling behavioral findings: delay-dependent risk tolerance, aversion to sequential resolution of uncertainty, preferences for the timing of the resolution of uncertainty, the differential discounting of risky and certain outcomes, hyperbolic discounting, subadditive discounting, and the order dependence of prospect valuation. Furthermore, all these phenomena can be accommodated by the same set of preference parameter values and plausible levels of inherent uncertainty

Social preferences across subject pools: students vs. general population

The empirical evidence on the existence of social preferences—or lack thereof—is predominantly based on student samples. Yet, knowledge about whether these findings can be extended to the general population is still scarce. In this paper, we compare the distribution of social preferences in a student and in a representative general population sample. Using descriptive analysis and a rigorous clustering approach, we show that the distribution of the general population’s social preferences fundamentally differs from the students’ distribution. In the general population, three types emerge: an inequality averse, an altruistic, and a selfish type. In contrast, only the altruistic and the selfish types emerge in the student population. We show that differences in age and education are likely to explain these results. Younger and more educated individuals—which typically characterize students—not only tend to have lower degrees of other-regardingness but this reduction in other-regardingness radically reduces the share of inequality aversion among students. Differences in income, however, do not seem to affect social preferences. We corroborate our findings by examining nine further data sets that lead to a similar conclusion: students are far less inequality averse than the general population. These findings are important in view of the fact that almost all applications of social preference ideas involve the general population

The fundamental properties, stability and predictive power of distributional preferences

Parsimony is a desirable feature of economic models but almost all human behaviors are characterized by vast individual variation that appears to defy parsimony. How much parsimony do we need to give up to capture the fundamental aspects of a population’s distributional preferences and to maintain high predictive ability? Using a Bayesian nonparametric clustering method that makes the trade-off between parsimony and descriptive accuracy explicit, we show that three preference types—an inequality averse, an altruistic and a predominantly selfish type—capture the essence of behavioral heterogeneity. These types independently emerge in four different data sets and are strikingly stable over time. They predict out-of-sample behavior equally well as a model that permits all individuals to differ and substantially better than a representative agent model and a state-of-the-art machine learning algorithm. Thus, a parsimonious model with three stable types captures key characteristics of distributional preferences and has excellent predictive power