Benchmark values for higher order coefficients of relative risk aversion

The existing literature on savings, insurance, and portfolio choices under risk has revealed that quite often comparative statics results depend, among other things, upon the values of the coefficients of relative risk aversion and relative prudence. More specifically the benchmark values for these coefficients are, respectively, one and two. Recently, several papers investigated constraints on the higher degree extensions of the coefficients of relative risk aversion and of relative prudence. The present work provides a unified approach to this question based on the concept of elementary correlation increasing transformations, allowing for a better understanding of changes in risk in the multiplicative case.     

Towards best practice: combining evidence‐based research,structured assessment and professional judgement

Limitations of instruments adopting consensus and actuarial approaches are well documented when assessing risk of abusive behaviour. Whilst the consensus approach is flexible and useful for structuring information, it relies upon the practitioner's ability to combine information and apply knowledge of empirical research. The actuarial approach involves a graduated probability measure in the form of a score that determines the likelihood of a particular event occurring; however, this approach focuses upon static risk factors and tends to be inflexible given its necessary reliance on nomothetic factors. A third approach, structured professional judgement comprises evidence‐based risk factors and decision‐making guidelines to inform professional judgement and standardize assessments. Instruments focus upon dynamic risk factors that assist practitioners monitor risk levels and manage risk. This approach is useful for social work practice that commonly requires ongoing risk assessments and risk management. Structured professional judgement has not been meaningfully explored in Australian child protection practice despite it being used successfully for approximately two decades for assessing a range of offending and violent behaviour. Given the complexity of child protection cases, further research on approaches to risk assessment that combine evidence‐based research, structured assessment and clinical judgement, is warranted.     

Indirect methods for valuing changes in environmental risks with nonexpected utility preferences

Theoretical models for estimating individuals' values for sure improvements in environmental quality are well developed. These models can be classified as being based on averting behavior, hedonic prices, or weak complementarity. Some of these models have also been applied to the task of valuing changes in risk based on expected utility theory. This article provides a systematic development of these models for changes in either the probability or the magnitude of an uncertain event and shows that the derived expressions for individual marginal willingness to pay can be generalized to nonexpected utility preferences as long as the index of preferences is continuous, convex, and twice differentiable.     

The digital economy and the future of European welfare states

As a consequence of new technology, labour markets are changing. This article’s central aim is to discuss variations among welfare states in Europe to adjust to changing labour markets. These variations in adjustment suggest that some welfare states are more prepared than others, including their capacity to ensure their sustainable financing. In the years to come, the predicted impact of technological development on labour markets will be huge. Impacts will include stronger “dualization” and new cleavages between “insiders” and “outsiders”. Fewer industrial jobs are to be expected, and service‐sector employment faces a risk of decline due to automation. While the creation of new jobs is likely, it remains to be seen whether these will replace the number of jobs destroyed, leaving the risk that many people whose skills become obsolete will become unemployed in the short as well as the longer term. Furthermore, even if the same number of jobs are eventually created, there will be a period of transition. In the light of this, welfare states will be challenged, not only in how they can finance their activities but also in terms of the threat posed to social cohesion by emerging labour market “winners” and “losers”, with an accompanying higher risk of increasing inequality. The article offers suggestions as to how welfare states may cope with the changes related to the financing of welfare states, and how active labour market policy can be part of the response to help alleviate the expected dramatic changes. Also required is a discussion on the annual average number of hours people will work and how this might be a factor in lower future levels of unemployment.     

Framing effects in the evaluation of multiple risk reduction

We studied how evaluation of changes in low-probability risks are affected by reference points and framing effects. Subjects considered hypothetical situations with one or two low-probability risks. Different frames were used to describe changes in risk levels. In the first experiment, subjects chose between risk-reduction options that achieved the same overall risk reduction: large reduction of one risk vs. equal (smaller) reduction of two risks. When the risks were described as losses relative to the no-risk ideal, more subjects were indifferent between the options than when the same options were described as gains relative to the status quo. In the latter case subjects preferred equal reduction of both risks, unless one risk could be reduced to zero. In a related experiment, subjects were less willing to pay any price for a commodity that carried small increases in two risks than for a commodity carrying a comparable large increase in one risk. In other experiments, subjects evaluated single changes in risks rather than comparing or evaluating pairs of changes. Subjects again placed particularly high value on reducing any risks to zero, and they were even more inclined to do so when some other risk would also be reduced to zero. In a final experiment, elimination of risk was found to be less highly valued if its source was not fully eliminated, and a status-quo effect was found. The findings are interpreted in terms of reference theories of choice.     

Sampling experience reverses preferences for ambiguity

People often need to choose between alternatives with known probabilities (risk) and alternatives with unknown probabilities (ambiguity). Such decisions are characterized by attitudes towards ambiguity, which are distinct from risk attitudes. Most studies of ambiguity attitudes have focused on the static case of single choice, where decision makers typically prefer risky over ambiguous prospects. However, in many situations, decision makers may be able to sample outcomes of an ambiguous alternative, allowing for inferences about its probabilities. The current paper finds that such sampling experience reverses the pattern of ambiguity attitude observed in the static case. This effect can only partly be explained by the updating of probabilistic beliefs, suggesting a direct effect of sampling on attitudes toward ambiguity.     

Social protection as a mechanism for family protection in sub‐Saharan Africa1

Mokomane Z. Social protection as a mechanism for family protection in sub‐Saharan Africa In sub‐Saharan Africa (SSA), the extended family has for generations been the basis for the sustenance of society, offering material, social, emotional and care‐giving support for its members in times of need and crisis. Over the years, however, this institution has been affected by demographic and socio‐economic transformations that have continued to take place in the region. This article illustrates how these changes have contributed to family circumstances that are characterised by economic fragility, debilitating poverty and weakened family support for household chores and care‐giving responsibilities. The article argues that the development and provision of more comprehensive social protection policies and programmes in SSA can help mitigate the impact of the changes on families and their members.     

Updating the Bogardus social distance studies: a new national survey

The last quarter of the 20th century witnessed a number of events and social transformations that have had great implications for religious and ethnic relations around the world. This study seeks to gauge the changes in sentiment towards various U.S. ethnic and religious groups by updating and replicating the Bogardus social distance scale. The Bogardus study, which was designed to measure the level of acceptance that Americans feel towards members of the most common ethnic groups in the United States, was conducted five times between 1920 and 1977 with very few changes in research design. Consistent with prior replications, the authors of this study collected a random sample of 2,916 college students and administered the social distance scale in the form of a questionnaire. The findings indicate that the mean level of social distance towards all ethnic groups, as well as the spread between the groups with the highest and lowest levels of social distance, decreased since 1977. Mean comparisons and ANOVA test also showed that gender, nation of origin, and race are all significant indicators of the level of social distance towards all groups.     

On arbitration schemes for a wealth distribution problem

This paper develops an arbitration scheme for resolving a distribution of wealth problem by applying Nash's assumptions to marginal rather than to total utilities. The problem considered is that of distributing a fixed amount of wealth between two claimants, and the paper compares properties of this problem's Nash solution with those of the marginal utility solution. The Nash solution is shown to emphasize application of symmetry considerations to the status quo ante, the marginal utility solution their application to the players' post arbitration positions (as measured by functions that fully describe the players' utilities but that are independent of positive linear transformations). It is argued that while the Nash assumptions are appropriate for many arbitration problems in which a solution reflects the players' status quo ante positions, the marginal utility assumptions are useful when it is desired that a solution attempt to minimize post-arbitration differences between the players' positions. The latter seems to be preferable in contexts where an arbitrator weights the solution's effects on out-comes more heavily than he weights considerations of the status quo ante. Examples are situations such as those involving income redistribution, where attempts to reduce inequality may guide the redistribution decisions. The effects on each type of solution of changes in the status quo ante are also investigated and related to the risk preference properties of the players' utilities.     

The Retrenchment of the Welfare State in Latin America: The Case of Argentina

According to the conventional approving account of the transformations which have been taking place in public policy and in markets in Latin America, Argentina constitutes one of the most successful examples of wide-ranging and rapid change. Certainly the experience of Argentina offers an excellent case-study of what in the literature is termed " the retrenchment of the welfare states"; that is those institutional transformations associated with the "neoconservative revolutions" of recent years. In this paper I analyse the characteristics of Argentinian welfare state retrenchment, distinguishing between two fields of analysis: (1) "systemic retrenchment" which is linked to changes in the "referential environment" of social policy institutions, especially changes in the economic, fiscal, labour market and politico-institutional contexts: (2) "programmatic retrenchment" which refers to changes in the institutional ordering of specific social policies. Finally I draw conclusions in respect of the strategies adopted for the retrenchment of the welfare state in Argentina and discuss probable prospects for the future.     

Measuring values: A conceptual framework for interpreting transactions with special reference to contingent valuation of visibility

People express their value for a good when they pay something for it. Interpretinggood andpayment very broadly, we offer a general analytical framework for characterizing such transactions. This framework is suitable for interpreting actual transactions as well as for creating hypothetical transactions for research purposes. It is described here both in general terms and with special application to one particular kind of transaction, contingent valuation studies in which individuals estimate the value of possible changes in atmospheric visibility. In these transactions, as in many others, risk (of undesired changes in visibility) is one principal feature; at least some uncertainty often surrounds other transaction features as well (For example: How much will visibility really change if I promise to pay for it? Will I really have to pay?). The framework presented here conceptualizes any transaction as involving (a) a good, (b) a payment, and (c) a social context within which the transaction is conducted. Each of these aspects in turn has a variety of features that might and in some cases should affect evaluations. For each such feature, the framework considers first the meaning of alternative specifications and then the difficulties of ensuring that they are understood and evaluated properly. As a whole, the framework provides an integrated approach to designing evaluation studies and interpreting their results.     

风险企业与投资公司的博弈分析

风险企业和投资公司在完全信息条件下存在静态博弈均衡和动态博弈均衡 ,二者既有相同点 ,又有差异。在其他条件不变的情况下 ,商业计划书的水平应与风险企业资金缺口的大小成正比。动态博弈的先动优势均衡点的变化是由风险企业的先动优势决定的。     

Risk-adjusted martingales and the design of “indifference” gambles

In the probability literature, a martingale is often referred to as a “fair game.” A martingale investment is a stochastic sequence of wealth levels, whose expected value at any future stage is equal to the investor’s current wealth. In decision theory, a risk neutral investor would therefore be indifferent between holding on to a martingale investment, and receiving its payoff at any future stage, or giving it up and maintaining his current wealth. But a risk-averse decision maker would not be indifferent between a martingale investment and his current wealth level, since he values uncertain deals less than their mean. A risk seeking decision maker, on the other hand, would readily accept a martingale investment in exchange for his current wealth, and would repeat this investment any number of times. These ideas lead us to introduce the notion of a “risk-adjusted martingale”; a stochastic sequence of wealth levels that a rational decision maker with any attitude toward risk would value constantly with time, and would be indifferent between receiving its pay-off at any future stage, or giving it up and maintaining his current wealth level. We show how to construct such risk-adjusted investments for any decision maker with a continuous monotonic utility function. The fundamental result we derive is that a pay-off structure of an investment (i) is a risk-adjusted martingale and (ii) can be represented by a lattice if and only if the pay-off functions are invariant transformations of the given utility function.     

A macroeconomic potential describing structural change of the economy

For the purpose of describing change in an economy's structure, and addressing issues of transformation, the notion of a time-dependent macroeconomic potential function is introduced. It penalizes deviations from equilibrium (entrepreneurial error) and induces moves toward equilibrium. Thus, from the concept of a potential function is derived the concept of short-term and long-term change forces. We focus here on the long-term structural changes of an economy as distinct from short-term cyclical variations, and we represent economic transformations as phase-transitions between monostable and ambiguous bistable states of the economy. One important feature of the potential function approach is that the parameter of the potential can be determined from empirical data. In particular, the parameters can be regressed for input variables. Hence, a relationship has been established between the structural change force and a set of input variables, some of which are controlled in part by either public or private sector agents. The method has been applied to West German and United States industry data for 1950–1980.     

Sovereign bond holdings and monetary policy operations in the euro area

This paper investigates the relationship between sovereign bond holdings of banks and refinancing operations by the ECB for countries in the euro area. We use data collected by Bruegel as well as a new dataset compiled from the annual statements of national central banks to estimate panel regression models. Our findings support the hypothesis that the ECB’s refinancing operations have increased resident banks’ exposure to domestic sovereign bonds. This is in line with the moral suasion theory advanced in the literature. These results strengthen the case for regulatory changes aimed at reducing the sensitivity of banks to sovereign risk.     

Combining expert probabilities using the product of odds

We resolve a useful formulation of the question how a statistician can coherently incorporate the information in a consulted expert??s probability assessment for an event into a personal posterior probability assertion. Using a framework that recognises the total information available as composed of units available only to each of them along with units available to both, we show: that a sufficient statistic for all the information available to both the expert and the statistician is the product of their odds ratios in favour of the event; that the geometric mean of their two probabilities specifies a contour of pairs of assertions in the unit-square that yield the same posterior probability; that the information-combining function is parameterised by an unknown probability for the event conditioned only on the unspecified information common to both the statistician and the expert; and that an assessable mixing distribution over this unspecified probability allows an integrable mixture distribution to represent a computable posterior probability. The exact results allow the identification of the subclass of coherent probabilities that are externally Bayesian operators. This subclass is equivalent to the class of combining functions that honour the principles of uniformity and compromise.     

Gender, Financial Risk, and Probability Weights

Women are commonly stereotyped as more risk averse than men in financial decision making. In this paper we examine whether this stereotype reflects gender differences in actual risk-taking behavior by means of a laboratory experiment with monetary incentives. Gender differences in risk taking may be due to differences in valuations of outcomes or in probability weights. The results of our experiment indicate that value functions do not differ significantly between men and women. Men and women differ in their probability weighting schemes, however. In general, women tend to be less sensitive to probability changes. They also tend to underestimate large probabilities of gains more strongly than do men. This effect is particularly pronounced when the decisions are framed in investment terms. As a result, women appear to be more risk averse than men in specific circumstances.     

The Utility of Gambling Reconsidered

The utility of gambling, which entails an intrinsic utility or disutility of risk, has been alluded to in the economics literature for over a century. This paper demonstrates that any utility of gambling almost unavoidably implies a violation of fundamental rationality properties, such as transitivity or stochastic dominance, for static choices between gambles. This result may explain why the utility of gambling, a phenomenon so widely discussed, has never been formalized in the economics literature. The model of this paper accommodates well-known deviations from expected utility, such as the Allais paradox and the coexistence of gambling and insurance, while minimally deviating from expected utility.     

Portfolio allocation and asset demand with mean-variance preferences

We analyze the comparative static effects of changes in the means, the standard deviations and the covariance of asset returns in a standard portfolio selection problem when investors have mean variance preferences. Simple and intuitive characterizations in terms of the elasticity of risk aversion are provided.     

Greater Downside Risk Aversion

Although investors are concerned foremost with mean and variance, they are also sensitive to downside risk. In this paper, we introduce an index of downside risk aversion to distinguish risk aversion from higher-order aspects of risk preference, including prudence. We show that the index of downside risk aversion S increases with monotonic downside risk averse transformations of utility, thereby directly linking S to the definition of downside risk aversion introduced by Menezes et al. (American Economic Review, 70, 921–932, 1980). Although the index S applies equally to risk averse and risk loving decision makers, for a given positive degree of risk aversion, S is greater when the index of prudence is greater and vice versa.