the ellsberg paradox and risk aversion an anticipated utility approach the paper describes a decision process under which it is rational to prefer a lottery with known probabilities to a similar ambiguous lottery where the decision maker does not know the exact values of the probabilities the ellsberg paradox this is done by modeling ambiguous lotteries as two stage lotteries by assuming the independence axiom without the reduction of compound lotteries axiom and by using the anticipated utility functional this paper also gives conditions under which less ambiguity is preferred and presents some comparative statics analysis as well as some inter personal comparisons finally it proves that within the anticipated utility framework risk and ambiguity are almost identical copyright 1987 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

does the preference reversal phenomenon necessarily contradict the independence axiom one of the most puzzling paradoxes in decision theory is the preference reversal phenomenon this phenomenon seems to contradict the transitivity axiom for a long time one of the cornerstones of utility theory this paradox is established whenever a decision maker prefers lottery x to lottery y but is willing to put a lower selling price on x than on y such experiments first reported by harold lindman 1971 and sarah lichtenstein and paul slovic 1971 were repeated by david grether and charles plott 1979 werner pommerehne et al 1982 and robert reilly 1982 although the later researchers improved the mechanism through which the selling price emerges they all found systematic reversals a new approach to this problem was developed by charles holt 1986 and edi karni and zvi safra 1987 from two different starting points these authors showed that the preference reversal phenomenon does not necessarily prove a violation of the transitivity axiom as it may contradict the independence axiom this implies that people do not maximize expected utility but in that case the preference reversal phenomenon becomes just another evidence against expected utility theory but not against the transitivity axiom these results have their own disadvantages although the independence axiom is not as fundamental as transitivity it is nevertheless very appealing on normative grounds of course the preference reversal phenomenon necessarily contradicts at least one of the assumptions of expected utility theory but empirical evidence shows that despite its normative appeal violations of the reduction of compound lotteries axiom may happen see for example joshua ronen 1971 and doug snowball and clif brown 1979 in this paper i therefore suggest a decision mechanism for the preference reversals lotteries which is transitive and satisfies the independence axiom but not the reduction axiom

the comovement in inventories and in sales higher and higher abstract we re examine changes in the cross section correlation pattern of sales and inventories using ng s ng s 2006 testing cross section correlation in panel data using spacings journal of business and economic statistics 24 1 12 23 uniform spacing method which permits the estimation of the number of correlated pairs and focuses on the conditional correlations in contrast to the literature we find that the correlation of shocks across industries increased after the great moderation

preference reversals and the independence axiom of all of the paradoxical patterns of behavior reported in laboratory experiments one of the most perplexing for decision theorists is the preference reversal phenomenon a subject in a preference reversal experiment is typically given a choice between a lottery with a high probability of winning a modest amount of money a p bet and a lottery with a low probability of winning a large amount of money a bet the lowest amount of money for which the subject would willingly sell either of these lotteries is also elicited the most common reversal is for a subject to choose the p bet over the bet but to put a higher selling price on the bet preference reversals were first reported by harold lindman 1971 and sarah lichtenstein and paul slovic 1971 in discussing the psychologists discovery of such reversals david grether and charles plott remark the inconsistency is deeper than mere lack of transitivity or even stochastic transitivity it suggests that no optimization principles of any sort lie behind even the simplest of human choices 1979 p 623 this paper offers a simple alternative explanation of documented preference reversals an explanation that does not require the abandonment of the transitivity assumption

reduction of compound lotteries with objective probabilities theory and evidence abstract the reduction of compound lotteries axiom rocl has assumed a central role in the evaluation of behavior toward risk and uncertainty we present experimental evidence on its validity in the domain of objective probabilities our battery of lottery pairs includes simple one stage lotteries two stages compound lotteries and their actuarially equivalent one stage lotteries we find violations of rocl and that behavior is better characterized by a source dependent version of the rank dependent utility model rather than expected utility theory since we use the popular 1 in k random lottery incentive mechanism payment procedure in our main test our experiment explicitly recognizes the impact that this payment procedure may have on preferences thus we also collect data using the 1 in 1 payment procedure we do not infer any violations of rocl when subjects are only given one decision to make these results are supported by both structural estimation of latent preferences as well as non parametric analysis of choice patterns the random lottery incentive mechanism used as payment protocol itself induces an additional layer of compounding by design that might create confounds in tests of rocl therefore we provide a word of caution for experimenters interested in studying rocl for other purposes such as the relationship between ambiguity attitudes and attitudes toward compound lotteries to carefully think about the design to study rocl payment protocols and their interaction with the preferences being elicited

pricing and the news vendor problem a review with extensions in the newsvendor problem a decision maker facing random demand for a perishable product decides how much of it to stock for a single selling period this simple problem with its intuitively appealing solution is a crucial building block of stochastic inventory theory which comprises a vast literature focusing on operational efficiency typically in this literature market parameters such as demand and selling price are exogenous however incorporating these factors into the mode l can provide an excellent vehicle for examining how operational problems interact with marketing issues to influence decision making at the firm level in this paper we examine an extension of the newsvendor problem in which stocking quantity and selling price are set simultaneously we provide a comprehensive review that synthesizes existing results for the single period problem and develop additional results to enrich the existing knowledge base we also review and develop insight into a dynamic inventory extension of this problem and motivate the applicability of such models

on the effect of demand randomness on inventories and costs we explore analytically cardinal effects of the extent of demand randomness on optimal inventory levels and the associated expected costs to model changes in demand randomness we make extensive use of a mean preserving transformation commonly used in probabilistic microeconomics as well as the notion of risk pooling aggregating independent demands for the single period news vendor model the order quantity and associated costs are shown to depend on the randomness parameter in a simple and highly interpretable manner we show by a simple example that in some situations risk pooling might neither reduce inventories nor move them closer to the mean or median demand the managerial relevance of such analyses is discussed

input and output inventories abstract this paper presents a new stage of fabrication inventory model with delivery usage and stocks of input materials that distinguishes between gross production and value added it extends the linear quadratic model of output inventories by adding the joint determination of input inventories empirically input inventories are more important than output inventories maximum likelihood estimation of the decision rules yields correctly signed and significant parameter estimates using data for nondurable and durable goods industries but the overidentifying restrictions of the model are rejected the value added specification dominates because adjustment costs on materials usage are critical to fitting the data

taking stock a critical assessment of recent research on inventories empirical and theoretical aspects of inventory behavior became hot topics in the 1950s and early 1960s no one seemed to notice the tension that was developing between the emerging macroeconomic and microeconomic views of inventories macroeconomists routinely thought of inventories as a destabilizing factor yet the prevailing micro theory viewed inventories as a stabilizing factor it was a fascinating question that was barely explored instead somewhat inexplicably interest in inventories dried up as if inventories were of minor economic significance and little intrinsic interest by the early 1980s then economists once again knew something they had known in the 1950s that inventory investment is of first order importance in business cycles but they were also beginning to realize that the standard production smoothing buffer stock model of inventories was in deep trouble this paper focuses on developments since that realization

eliciting subjective probabilities with binary lotteries abstract we evaluate a binary lottery procedure for inducing risk neutral behavior in a subjective belief elicitation task prior research has shown this procedure to robustly induce risk neutrality when subjects are given a single risk task defined over objective probabilities drawing a sample from the same subject population we find evidence that the binary lottery procedure also induces linear utility in a subjective probability elicitation task using the quadratic scoring rule we also show that the binary lottery procedure can induce direct revelation of subjective probabilities in subjects with popular non expected utility preference representations that satisfy weak conditions

age seniority and labour costs lessons from the finnish it revolution the bad labour market performance of the workforce over 50 indicates that an aged workforce is often a burden for firms our paper seeks to investigate whether and why this is the case by providing evidence on the relation between age seniority and experience on the one hand and the main components of labour costs namely productivity and wages on the other for a sample of plants in three manufacturing industries forest industrial machinery and electronics in finland during the it revolution in the 1990s in average industries those not undergoing major technological shocks productivity and wages keep rising almost indefinitely with the accumulation of either seniority in the forest industry or experience in the industry producing industrial machinery in these industries the skill depreciation often associated with higher seniority beyond a certain threshold does not seemingly raise labour costs in electronics instead the seniority productivity profile shows a positive relation first and then becomes negative as one looks at plants with higher average seniority this body of evidence is consistent with the idea that fast technical change brings about accelerated skill depreciation of senior workers we cannot rule out however that our correlations are also simultaneously produced by worker movements across plants the seniority earnings profile in electronics is instead rather similar to that observed for the other industries a likely symptom of the prevailing finnish wage bargaining institutions which tend to make seniority one essential element of wage determination in the end seniority matters for labour costs not age as such but only in high tech industries not in the economy at large this is well tuned with previous research on gross flows of workers and jobs in the us and other oecd countries which unveiled the productivity driving role of resource reallocation or lack thereof between plants to improve the employability of the elderly at times of fast technical change public policy should thus divert resources away from preserving existing jobs and lend more attention to the retraining of old workers to ease their reallocation away from less productive plants or plants where they have become less productive into new jobs francesco daveri and mika maliranta

the effect of economic uncertainty on inventory and working capital for manufacturing firms abstract this paper develops an empirical model to investigate the impact of macro economic risk on working capital and the various types of inventory our analysis helps manufacturing firms anticipate the implications of high macro economic risk measured through the economic policy uncertainty epu index on their operations using a sample of 6503 us manufacturing firms during the period 1990 2018 we show that epu drives high levels of inventory thus corroborating existing theories about random disruptions raising safety stock levels we also show that increased economic uncertainty yields higher trade credits payables and working capital thus requiring firms to tie more capital to their operations our results are statistically significant yet these effects are small at the firm level the results are robust when applying the monetary policy uncertainty mpu index to the subsample of the data from 1990 to 2007 instead of the epu index to the same data set

interrelated demands for buffer stocks and productive inputs estimates for two digit manufacturing industries empirical estimates of interrelated factor demand equations for inventories labor inputs capital stocks and unfilled orders in selected two digit industries are provided this framework is more comprehensive than previous research as it disaggregates inventories by stage of fabrication accounts for production to stock and production to order and disaggregates capital and labor inputs all estimated decision rules display stock adjustment effects but there are asymmetries in the parameter estimates that are puzzling there is evidence that factor input prices have a role in explaining stock levels but own factor price effects are largely absent evidence is uncovered that stocks are sensitive to expectations errors attached to output demand copyright 1990 by mit press

dynamic choice and the common ratio effect an experimental investigation the common ratio effect is a well attested violation of expected utility theory this paper uses four principles of dynamic choice to characterise alternative theoretical strategies for explaining the effect it reports an experiment which tests these principles and by implication several well known accounts of the common ratio effect unlike previous work the experimental design uses real financial incentives without presupposing any dynamic choice principles we find violation of a principle of timing independence which is part of most existing theories of dynamic choice we examine the implications of this finding for decision theory and economics

testing different stochastic specificationsof risky choice the harless camerer hc hey orme ho and random preference rp models of stochastic variation in choice under uncertainty are compared implications of these models including some that are independent of the deterministic theory with which they are combined are tested in an experiment in which participants respond to decision problems twice the hc model generally performs poorly the ho model predicts more violations of dominance than are observed while the rp model fails to account for those few violations which do occur additional regularities are observed which are inconsistent with all three models when combined with expected utility theory

pre season stocking and pricing decisions for fashion retailers with multiple information updating abstract motivated by the industrial practice we investigate in this paper the pre season inventory and pricing decisions for fashion retailers before the selling season a retailer can place orders for a seasonal fashion product from her supplier at two distinct stages via two different delivery modes market information from the sales of a pre seasonal product is collected and used to update the demand forecast of the seasonal product at the succeeding stages by using bayesian approach we formulate a dynamic optimization problem and obtain the optimal stocking policy after the ordered seasonal product has arrived and just before the start of the selling season the retailer can determine the optimal selling price of the product with respect to the latest demand information and the amount of product on hand we study the pricing policy under different objectives sensitivity analysis is carried out and the features of the policies are revealed managerial insights are generated

inducing risk neutral preferences with binary lotteries a reconsideration abstract we evaluate the binary lottery procedure for inducing risk neutral behavior we strip the experimental implementation down to bare bones taking care to avoid any potentially confounding assumptions about behavior having to be made in particular our evaluation does not rely on the assumed validity of any strategic equilibrium behavior or even the customary independence axiom we show that subjects sampled from our population are generally risk averse when lotteries are defined over monetary outcomes and that the binary lottery procedure does indeed induce a statistically significant shift toward risk neutrality this striking result generalizes to the case in which subjects make several lottery choices and one is selected for payment

consistency of higher order risk preferences risk aversion a second order risk preference is a time proven concept in economic models of choice under risk more recently the higher order risk preferences of prudence third order and temperance fourth order also have been shown to be quite important while a majority of the population seems to exhibit both risk aversion and these higher order risk preferences a significant minority does not we show how both risk averse and risk loving behaviors might be generated by a simple type of basic lottery preference for either 1 combining good outcomes with bad ones or 2 combining good with good and bad with bad respectively we further show that this dichotomy is fairly robust at explaining higher order risk attitudes in the laboratory in addition to our own experimental evidence we take a second look at the extant laboratory experiments that measure higher order risk preferences and we find a fair amount of support for this dichotomy our own experiment also is the first to look beyond fourth order risk preferences and we examine risk attitudes at even higher orders

a theory of subjective compound lotteries abstract we develop a savage type model of choice under uncertainty in which agents identify uncertain prospects with subjective compound lotteries our theory permits issue preference that is agents may not be indifferent among gambles that yield the same probability distribution if they depend on different issues hence we establish subjective foundations for the anscombe aumann framework and other models with two different types of probabilities we define second order risk as risk that resolves in the first stage of the compound lottery and show that uncertainty aversion implies aversion to second order risk which implies issue preference and behavior consistent with the ellsberg paradox

are policymakers ambiguity averse we investigate the ambiguity preferences of a unique sample of real life policymakers at the paris un climate conference cop21 we find that policymakers are generally ambiguity averse using a simple design we are moreover able to show that these preferences are not necessarily due to an irrational behaviour but rather to intrinsic preferences over unknown probabilities exploring the heterogeneity within our sample we also show that the country of origin and the degree of quantitative sophistication affect policymakers attitudes towards compound risk but not towards ambiguity robustness results are obtained in a lab experiment with a sample of university students

delayed production and raw materials inventory under uncertainty abstract firms producing seasonal goods often make order and production choices prior to highly uncertain sales thus lending an investment quality to their decisions using specialized inputs imposes a delay in receiving them and linked with a long production period the firm makes its order production and pricing choices under successively reduced uncertainty the model shows that input and production costs have distinctive effects on the firm s order size with implications for the stock of raw materials inventory firms facing relatively low input costs are willing to risk leaving inputs unused as a bet for a good state of nature further we investigate situations of greater uncertainty and find a more nuanced explanation of firm behavior than previous research firms with relatively inexpensive inputs facing equal odds of good and bad states of nature will increase their order size a known result however a firm with a low relative cost of completing production may either raise or reduce its order size depending on the demand elasticity and the relative demand uncertainty intuitively firms with expensive inputs facing highly uncertain demand and with many substitute output goods are inhibited by the high cost of insuring against stock outs

subjective expected utility with incomplete preferences this paper extends the subjective expected utility model of decision making under uncertainty to include incomplete beliefs and tastes the main results are two axiomatizations of the multiprior expected multiutility representations of preference relations under uncertainty the paper also introduces new axiomatizations of knightian uncertainty and the expected multiutility model with complete beliefs

a theory of anticipated utility abstract a new theory of cardinal utility with an associated set of axioms is presented it is a generalization of the von neumann morgenstern expected utility theory which permits the analysis of phenomena associated with the distortion of subjective probability

the rich domain of uncertainty source functions and their experimental implementation we often deal with uncertain events for which no probabilities are known several normative models have been proposed descriptive studies have usually been qualitative or they estimated ambiguity aversion through one single number this paper introduces the source method a tractable method for quantitatively analyzing uncertainty empirically the theoretical key is the distinction between different sources of uncertainty within which subjective choice based probabilities can still be defined source functions convert those subjective probabilities into willingness to bet we apply our method in an experiment where we do not commit to particular ambiguity attitudes but let the data speak

a more robust definition of subjective probability the goal of choice theoretic derivations of subjective probability is to separate a decisionmaker s underlying beliefs subjective probabilities of events from their preferences attitudes toward risk classical derivations have all relied upon some form of the marschak samuelson independence axiom or the savage sure thing principle which imply that preferences over lotteries conform to the expected utility hypothesis this paper presents a choice theoretic derivation of subjective probability in a savage type setting of purely subjective uncertainty which neither assumes nor implies that the decisionmaker s preferences over lotteries necessarily conform to the expected utility hypothesis copyright 1992 by the econometric society

on the risk based aggregate planning for seasonal products in this paper a model is developed to analyze the effect of risk incurring at companies producing highly seasonal products according to observations the closer to the season we are the better our knowledge on demand distribution this fact is reflected by a learning effect in demand distribution applied in the model where the aim is to minimize the risk connected costs originating from the unpredictable behavior of demand the paper confirms that unpredictability is only one of the decisive factors in sequencing products and other elements play an important role too the paper presents forward and backward procedures for determining the production quantities and sequencing of the products in an aggregate planning horizon

developments in non expected utility theory the hunt for a descriptive theory of choice under risk this article reviews recent developments in the economic theory of individual decision making under risk since the 1950s it has been known that individual choices violate the standard model of expected utility in predictable ways considerable research effort has now been devoted to the project of developing a superior descriptive model following an overview of non expected utility theories which distinguishes between conventional and non conventional approaches the paper seeks to assess these alternative models in terms of empirical success using laboratory and field data and theoretical usefulness the closing sections reflect on some new directions emerging in this literature

changes in background risk and risk taking behaviour economic decision making under uncertainty often takes place in the presence of multiple risks and in markets that are less than complete as a consequence choices about endogenous risks sometimes must be made while simultaneously facing one or more immutable exogenous background risks that are not under the control of the agent and that are independent of endogenous risks it is somehow natural to assume that an exogenous deterioration in background wealth will cause an individual to take more care elsewhere if we define a deterioration for example as making the individual poorer by removing a fixed amount of initial wealth we know from pratt 1964 that decreasing absolute risk aversion dara of an individual s von neumann morgenstern utility function yields this natural result if on the other hand background wealth becomes riskier due to the addition of a zero mean risk that is also statistically independent of all other risks behavior will be more risk averse if and only if preferences are risk vulnerable as defined by gollier and pratt 1996 risk vulnerability described below in section 4 is a stronger notion than dara and includes proper risk aversion pratt and zeckhauser 1987 and standard risk aversion eeckhoudt and kimball 1992 kimball 1993 as particular cases but a deterioration in background wealth may encompass more complicated distribution changes than the introduction of another statistically independent risk in this paper we examine background wealth deteriorations that take the form of both general firstand second degree stochastic dominance changes in risk fsd and ssd respectively in particular we determine conditions that are both necessary and sufficient for each of these two types of background risk changes to imply more risk averse behavior on the part of the individual for the case of fsd changes this condition turns out to be ross stronger characterization of decreasing absolute risk aversion in the case of general ssd changes in the distribution of background wealth the condition derived is a stronger version in ross sense of the conditions characterizing preferences that are locally risk vulnerable in the sense of gollier and pratt the necessary and sufficient conditions derived are fairly restrictive upon preferences however if we take as positive behavior that individuals act in a more risk averse manner whenever the distribution of background wealth deteriorates these conditions place canonical limits upon appropriate utility representations at the very least they

experience innovation and productivity empirical evidence from italy s slowdown the authors investigate whether the level of employee experience is good or bad for innovation and productivity using a sample of italian manufacturing firms during the early 2000s the authors find different results for managers versus workers experience the effect of managerial experience proxied by age on firm performance appears to depend on the type of firm in innovative firms having older managers and board members has a negative effect on innovation and productivity while in non innovative firms the costs and benefits of having older managers appear to cancel each other out for workers the effect of having a high share of inexperienced temporary workers is unambiguously associated with low innovation and low productivity these results also hold when endogenous regime switching is taken into consideration

cluster sample methods in applied econometrics inference methods that recognize the clustering of individual observations have been available for more than 25 years brent moulton 1990 caught the attention of economists when he demonstrated the serious biases that can result in estimating the effects of aggregate explanatory variables on individual specific response variables the source of the downward bias in the usual ordinary least squares ols standard errors is the presence of an unobserved state level effect in the error term more recently john pepper 2002 showed how accounting for multi level clustering can have dramatic effects on t statistics while adjusting for clustering is much more common than it was 10 years ago inference methods robust to cluster correlation are not used routinely across all relevant settings in this paper i provide an overview of applications of cluster sample methods both to cluster samples and to panel data sets

price versus production postponement capacity and competition this article presents a comparative analysis of possible postponement strategies in a two stage decision model where firms make three decisions capacity investment production inventory quantity and price typically investments are made while the demand curve is uncertain the strategies differ in the timing of the operational decisions relative to the realization of uncertainty we show how competition uncertainty and the timing of operational decisions influence the strategic investment decision of the firm and its value in contrast to production postponement price postponement makes the investment and production inventory decisions relatively insensitive to uncertainty this suggests that managers can make optimal capacity decisions by deterministic reasoning if they have some price flexibility under price postponement additional postponement of production has relatively small incremental value therefore it may be worthwhile to consider flexible ex post pricing before production postponement reengineering while more postponement increases firm value it is counterintuitive that this also makes the optimal capacity decision more sensitive to uncertainty we highlight the different impact of more timely information which leads to higher investment and inventories and of reduced demand uncertainty which decreases investment and inventories our analysis suggests appropriateness conditions for simple make to stock and make to order strategies we also present technical sufficiency and uniqueness conditions under price postponement these results extend to oligopolistic and perfect competition for which pure equilibria are derived interestingly the relative value of operational postponement techniques seems to increase as the industry becomes more competitive

firms age process innovation and productivity growth abstract this paper looks directly at the impact of firms age and process innovations on productivity growth a model that specifies productivity growth as an unknown function of these variables is devised and estimated using semiparametric methods results show that firms enter the market experiencing high productivity growth and that above average growth rates tend to last for many years but also that productivity growth of surviving firms converges process innovations at some point then lead to extra productivity growth which also tends to persist somewhat attenuated for a number of years

three variants on the allais example three variants on the famous allais example were administered to student subjects two variants involved small changes in the example yet greatly diminished the qualitative behavior known as the allais paradox the third variant is almost a direct test of daniel kahneman and amos tversky s certainty effect against mark machina s fanning out hypothesis the results favor the certainty effect over the fanning out hypothesis for at least the case of straight line indifference curves copyright 1989 by american economic association

exploring the consistency of higher order risk preferences this study measures higher order risk preferences and their consistency we explore the role of country differences the variation of stakes and the framing of lotteries we observe a robust dichotomous pattern of choice behavior in china in the usa and in germany the majority of choices are consistent with mixed risk aversion or mixed risk loving behavior we also find this pattern after a tenfold increase in the stakes finally our results reveal that this pattern is strengthened if the lotteries are displayed in compound rather than reduced form in a follow up study we explore potential explanations for this framing effect

endowments and risky choice abstract we report evidence of an endowment effect for risk extending previous results to the popular paired choice lottery setting specifically we observe a distribution of revealed preferences consistent with risk aversion that diminishes in endowed variance although the effect is considerably weaker for compound relative to simple lotteries we also find that in the absence of an obvious endowment subjects behave as if the comparatively lower variance lottery is a cognitive reference point revealing a distribution of preferences indistinguishable from subjects who are explicitly endowed with the low variance lottery finally we report no significant difference in elicited preferences between two popular mechanisms the multiple price list and a variant on the becker degroot and marshak mechanism when no endowment is induced suggesting previously reported differences in behavior between the two mechanisms may be in part a consequence of relative responsiveness to endowment framing