comparing risks by acceptance and rejection stochastic dominance is a partial order on risky assets gambles that is based on the uniform preference of all decision makers in an appropriate class for one gamble over another we modify this requirement first by taking into account the status quo given by the current wealth and the possibility of rejecting gambles and second by comparing rejections that are substantive i e uniform over wealth levels or over utilities this yields two new stochastic orders wealth uniform dominance and utility uniform dominance unlike stochastic dominance these two orders are complete any two gambles can be compared moreover they are equivalent to the orders induced by respectively the aumann serrano index of riskiness and the foster hart measure of riskiness

stochastic dominance and mean variance measures of profit and loss for business planning and investment in this paper we first extend the stochastic dominance sd theory by introducing the first three orders of both ascending sd asd and descending sd dsd to decisions in business planning and investment to risk averse and risk loving decision makers so that they can compare both return and loss we provide investors with more tools for empirical analysis with which they can identify the first order asd and dsd prospects and discern arbitrage opportunities that could increase his her utility as well as wealth and set up a zero dollar portfolio to make huge profit our tools also enable investors and business planners to identify the third order asd and dsd prospects and make better choices to complement the stochastic dominance approach we also introduce an improved mean variance criterion to decisions in business planning or investment on both return and loss for risk averse and riskloving investors we then illustrate the superiority of the present approaches with well known examples in the literature and discuss the relationship between the improved stochastic dominance and mean variance criteria

income risk and farm consumption behavior abstract using panel data from illinois grain farmers a direct test of the relationship between income risk and farm consumption behavior is conducted the estimation results indicate that income risk significantly affects farm consumption and the results are robust using alternative risk measures this finding casts doubt on the relevance of the conventional life cycle permanent income hypothesis which implies that risk has no effect on consumption

negative moments risk aversion and stochastic dominance a simple moment ordering condition is shown to be necessary for stochastic dominance closely related results on generalizations of the geometric and harmonic means are also provided an ordering of the moment generating functions is shown to be necessary and sufficient for stochastic dominance the results have a straightforward and useful interpretation in terms of constant relative and absolute risk aversion utility functions these results are used to provide necessary and sufficient conditions for optimality of distributions on an important class of utility functions

comparative statics and non expected utility preferences abstract researchers have shown that many though not all of the basic results of expected utility analysis can be more or less directly generalized to non expected utility preferences this paper describes the essential difference between results which can be extended in this manner and those which cannot and shows that an important family of comparative statics theorems falls into the former class

an empirical analysis of term premiums using stochastic dominance abstract this paper examines term premiums in u s treasury bill monthly holding period returns several techniques are employed to ascertain whether the observed term premiums are economically meaningful no second order stochastic dominance is found in the first five month maturities when a riskless asset is assumed the first two maturities are dominated therefore we conclude that although there are statistically significant term premiums they are not economically meaningful if there is no riskless borrowing and lending the term premiums are economically meaningful in the sense that the longer maturities dominate the shorter maturities when a riskless asset is available

price regulation of access to telecommunications networks abstract without access of networks to each other competition in the telecommunications sector would hardly have spread so quickly such mutual access is necessary for carriers to provide ubiquitous service and enable endusers to call and be called by anybody without subscribing to a system wide monopolist one way access concerns bottleneck inputs provided by an incumbent network to entrants while two way access concerns the interconnection between networks whereas one way access regulation is exclusively driven by containment of market power two way access is additionally affected by collusion possibilities among the numerous pricing rules discussed none clearly dominates this article provides a roadmap vis a vis the competing policy objectives for access price regulation

market reaction to quarterly earnings announcements a stochastic dominance based test of market efficiency the use of the capm in empirical research is subject to some criticism in light of this criticism the stochastic dominance criteria are offered as an alternative research method for the examination of market efficiency the underlying assumptions of the two frameworks are discussed and the stochastic dominance technique is demonstrated via the examination of market reaction to quarterly earnings announcements during the 24 quarters commencing with october 1962 the findings are compared to those of watts watts r the time series behavior of quarterly earnings unpublished paper university of newcastle newcastle n s w 1975 quoted in watts 1978 who utilized the same data base in contrast to watts conclusion our analysis suggests that the market was efficient during the entire period examined and that no significant differences in market behavior between the first and the second 12 month periods was evident the discord may be attributed to the relative effectiveness of the two analytical tool

empirical tests for stochastic dominance efficiency we derive empirical tests for the stochastic dominance efficiency of a given portfolio with respect to all possible portfolios constructed from a set of assets the tests can be computed using straightforward linear programming bootstrapping techniques and asymptotic distribution theory can approximate the sampling properties of the test results and allow for statistical inference our results could provide a stimulus to the further proliferation of stochastic dominance for the problem of portfolio selection and evaluation using our tests the fama and french market portfolio is significantly inefficient relative to benchmark portfolios formed on market capitalization and book to market equity ratio

bargaining structure and economic performance in the open economy abstract it seems nowadays accepted that both centralized wage bargaining and negotiation at the firm level perform better than sectoral wage bargaining this is because sectoral unions have enough market power to raise wages but do not internalize all the effects of their actions however the ranking may be different in an open economy facing a less than infinitely elastic foreign demand because raising wages improves the country s terms of trade as in the optimal tariff argument as a result welfare is higher in the centralized setting while sectoral bargaining is better than full decentralization when imported goods represent a large share of total consumption

a stochastic dominance analysis of yen carry trades abstract yen carry trades have made headline news for over a decade we examine the profitability of such trades for the period 2001 2009 yen carry trades generated high mean returns and sharpe ratios prior to the recent financial crisis they continued to outperform major stock markets for the full sample period given the non normality of carry trade returns we apply non parametric tests based on stochastic dominance sd to evaluate whether the high returns of yen carry trades are compatible with risk as reflected in returns on us and global stock market indices we apply a general test for sd developed recently by linton maasoumi and whang 2005 to six currencies as well as portfolios of these currencies for a large class of risk averse investors profits from yen carry trades cannot be attributed to risks

mean gini portfolio theory and the pricing of risky assets this paper presents the mean gini mg approach to analyze risky prospects and construct optimum portfolios the proposed method has the simplicity of a mean variance model and the main features of stochastic dominance efficiency since mean gini is consistent with investor behavior under uncertainty for a wide class of probability distributions gini s mean difference is shown to be more adequate than the variance for evaluating the variability of a prospect the mg approach is then applied to capital markets and the security valuation theorem is derived as a general relationship between average return and risk this is further extended to include a degree of risk aversion that can be estimated from capital market data the analysis is concluded with the concentration ratio to allow for the classification of different securities with respect to their relative riskiness

agency theory and stochastic dominance recently agency theory has become popular as a means of explaining the structure of contracts between various classes of economic agents oftentimes the contracts of interest represent sharing rules for the payoffs that result from some production activity in the usual two party model of the contracting problem one party designated the principal delegates authority for decisions affecting production to another party designated the agent typically the assumptions made about the consequences of the agent s actions are that they are associated with effort on the part of the agent for which the agent but not the principal has disutility and that greater effort will result in higher payoffs from production in every state of nature moral hazard is then introduced by assuming that the principal is unable to observe the agent s effort or to infer what effort the agent applied through an ex post observation of the payoff that results

third degree stochastic dominance here f x and g x are less than cumulative probability distributionis where x is a continuous or discrete random variable representing the outcome of a prospect the closed interval a b is the sample space of both prospects the integral shown in rule 2 and those shown throughout the paper are stieltjes integrals recall that the stieltjes integral fb f x dg x exists if one of the functions f and g is continuous and the other has finite variation in a b let d1 d2 and d3 be three sets of utility functions x d1 is the set containing all utility functions with 4 x and 1 x continuous and 41 x 0 for all xe a b d2 is the set with x 1 x 2 x continuous and q j x 0 02 x o for all xc a b d3 is the set with x 1 x 2 x 3 x continuous and 1 x 04 2 x o o for all xc a b here 1 x denotes the ith derivative of x hadar and russell proved that rule 1 is valid for all cd1 and rutle 2 is valid for all ed2 the authors point out that the set of probability distributions that can be ordered by means of second degree stochastic dominance is in general larger than that which can be ordered by means of first degree stochastic dominance note that in rule 2 they assume that x is not only an increasing function of x but also exhibits weak global risk aversion a condition guaranteed by requiring the second derivative of x to be nonpositive in this paper a condition which will be called third degree stochastic dominance is considered it is based on the following assumption about the form of the utility function x from a normative point of view one expects the risk premium associated with an uncertain prospect to become smaller the greater is the individual s wealth the plausibility and implications of this assumption h ave been explored by john pratt as well as others the risk premium of an uncertain prospect is that amount by which the certainty equivalent of the prospect differs from its expected value in mathematical terms given the prospect f x with expected value a the corresponding risk premium t is obtained by solving the following equation rb

risk aversion and the propensities for self insurance and self protection for a risk averse individual the methods for reducing the expected financial impact of a loss include reducing the severity of any loss that occurs self insurance and reducing the probability of the occurrence of a loss self protection the literature on this topic has pointed to several anomalies whereby the use of self protection and self insurance yield quite unsimilar results for example ehrlich and becker 5 show that self insurance is always a substitute for market insurance an insurance company s indemnifying a loss whereas self protection and market insurance might be complements dionne and eeckhoudt 4 show that a more risk averse consumer would always invest more in self insurance activities but not necessarily more in self protection activities they argue 4 42 that this result is counterintuitive and provides an exception to the widely accepted result that increased risk aversion reduces risky activities ehrlich and becker 5 639 argue that the incentive to self protect is not so dependent on attitude towards risk both of the above papers seem to take for granted that self protection activities reduce the riskiness of the final wealth distribution however as we argue below this is not the case if riskiness is defined as in rothschild and stiglitz 14 even if we use the variance as our risk measure we do not always reduce risk via self protection dionne and eeckhoudt suggest that these results might not be robust enough to extend to models that incorporate random initial wealth risk and state dependent preferences we show that the model seems to be very robust we also explain why self protection is not at all an exception to the long standing result of arrow 1 whereby more risk averse individuals undertake a lower

stochastic dominance and expected utility survey and analysis while stochastic dominance has been employed in various forms as early as 1932 it has only been since 1969 1970 that the notion has been developed and extensively employed in the area of economics finance agriculture statistics marketing and operations research in this survey the first second and third order stochastic dominance rules are discussed with an emphasis on the development in the area since the 1980s

pests and pesticides risk and risk aversion abstract theoretical and applied literature on risk in decision making for agricultural pest control is reviewed risk can affect pesticide decision making either because of risk aversion or because of its influence on expected profit it is concluded that risk does not necessarily lead to increased pesticide use by individual farmers uncertainty about some variables such as pest density and pest mortality does lead to higher optimal pesticide use under risk aversion however uncertainty about other important variables such as output price and yield leads to lower optimal levels of pesticide use neglect of these variables in most studies has led to the false assumption that pesticides are always risk reducing inputs furthermore there is evidence that in general the pesticide dosage which maximises expected profit is lower under risk than under certainty depending on the balance of forces to increase and decrease pesticide use under risk in many circumstances the net effect of risk on optimal decision making for pest control may be minimal the effect on risk of information about pest density and other variables as in integrated pest management programmes is discussed evidence on this issue is mixed a range of analytical techniques for analysing risk in pest control is reviewed throughout the paper gaps in the existing literature are identified

the analysis of risky investment the paper extends the stochastic dominance analysis into a state contingent framework unlike the regular stochastic dominance rules in which case the dominance is defined over the states the efficiency analysis is applicable also for prospects that can be diversified between themselves or with other assets the paper presents definitions of the state contingent dominance rules theorems with respect to the properties of these rules comparisons between the regular stochastic dominance rules the state contingent dominance rules and demonstrations of some economic implications and uses of these rules

diversification consistent data envelopment analysis with general deviation measures abstract we propose new efficiency tests which are based on traditional dea models and take into account portfolio diversification the goal is to identify the investment opportunities that perform well without specifying our attitude to risk we use general deviation measures as the inputs and return measures as the outputs we discuss the choice of the set of investment opportunities including portfolios with limited number of assets we compare the optimal values efficiency scores of all proposed tests leading to the relations between the sets of efficient opportunities strength of the tests is then discussed we test the efficiency of 25 world financial indices using new dea models with cvar deviation measures

a comparative analysis of water price support versus drought compensation scheme abstract this paper examines the preferred governmental intervention towards crops growing methods in semi arid regions these regions are characterized by an average amount of rain which is sufficient to grow the crop but it is also very risky the farmers attitude towards risk motivates the government to encourage them to shift to more profitable and riskier crop rotations the paper analyses two alternatives of which the government can work through drought compensation scheme dcs and water price support wps the semi arid region in israel is analyzed and policy conclusions are derived in particular it is shown that for different sub regions within the semi arid region different mechanisms are preferred by the government and the farmers sometimes these mechanisms coincide and sometimes they do not a welfare analyzes compares the different situations

performance evaluation of portfolio insurance strategies using stochastic dominance criteria abstract this paper evaluates the performance of the stop loss synthetic put and constant proportion portfolio insurance techniques based on a block bootstrap simulation we consider not only traditional performance measures but also some recently developed measures that capture the non normality of the return distribution value at risk expected shortfall and the omega measure we compare them to the more comprehensive stochastic dominance criteria the impact of changing the rebalancing frequency and level of capital protection is examined we find that even though a buy and hold strategy generates higher average excess returns it does not stochastically dominate the portfolio insurance strategies nor vice versa our results indicate that a 100 floor value should be preferred to lower floor values and that daily rebalanced synthetic put and cppi strategies dominate their counterparts with less frequent rebalancing

a note on almost stochastic dominance abstract both the expected utility maximization and the hierarchy property are very important properties in stochastic dominance for almost stochastic dominance leshno and levy 2002 propose a definition and tzeng et al 2013 modified it to give another definition this note provides more information on the two definitions the former has the hierarchy property but not the expected utility maximization whereas the latter has the expected utility maximization but not the hierarchy property

stochastic dominance and expected utility while stochastic dominance has been employed in various forms as early as 1932 it has only been since 1969 1970 that the notion has been developed and extensively employed in the area of economics

stochastic dominance analysis without the independence axiom we characterize the consistency of a large class of nonexpected utility preferences including mean variance preferences and prospect theory preferences with stochastic orders for example stochastic dominances of different degrees our characterization rests on a novel decision theoretic result that provides a behavioral interpretation of the set of all derivatives of the functional representing the decision maker s preferences as an illustration we consider in some detail prospect theory and choice acclimating preferences two popular models of reference dependence under risk and we show the incompatibility of loss aversion with prudence this paper was accepted by james smith decision analysis

stochastic dominance and uncertain price prospects since the seminal and simultaneous publications of hadar and russell 6 and hanoch and levy 8 there has been a virtual explosion of papers investigating implications of stochastic dominance rules for decisions under uncertainty dominance principles have important applications to portfolio choice capital budgeting and financial intermediation stochastic dominance can also be applied to investment and production decision problems under uncertainty in these areas both overall and marginal impacts of uncertainty have received wide attention 2 the emphasis in consumer welfare analysis under uncertainty has been on the ranking of different price prospects ranking of price prospects is more complicated than that of income prospects for two related reasons first due to differences in ordinal preferences among consumers the second degree stochastic dominance rule on price prospects does not yield a unanimous ranking among risk averse consumers thus waugh 17 massell 12 and samuelson 14 have focused on the ranking of price prospects for a single consumer or consumers with identical ordinal preferences second there is no a priori reason for income risk averse consumers to exhibit aversion to fair price risks specifically the indirect utility function of an income risk averse consumer is neither concave nor convex in prices indirect ways of comparing consumer welfare under alternative price prospects via expected consumer surplus expected compensating variation or expected equivalent variation have thus been investigated in the literature expected consumer surplus ecs has been particularly popular for ranking certain and uncertain price prospects 3 however turnovsky shalit and schmitz 16 showed that the ranking

an empirical comparison of stochastic dominance among lognormal prospects l introduct ion the theory of portfolio selection and diversification developed by markowitz 22 and tobin 33 was based primarily on the criterion of meanvariance mv efficiency the objective was to select an efficient set of portfolios from which every risk averter will choose the optimal portfolio which maximizes his expected utility the mv criterion is the appropriate rule either for the case in which the utility function is quadratic or if the returns are normally distributed and risk aversion is assumed two approaches to the choice among risky alternatives that have been developed independently over the past two decades are the geometric mean criterion gm and the stochastic dominance sd decision model both can be justified by the expected utility hypothesis with the geometric mean cri terion following as a result of the assumption that the decision maker has a logarithmic utility function and the stochastic dominance models requiring the less restrictive assumption of signs of the first few derivatives of the decision maker s utility function this paper compares the concept of ordinary stochastic dominance to stochastic dominance of the lognormally distributed prospects from an empirical point of view further 1ight is also shed on the issue of applying the markowitz tobin mean variance rule