cake eating exhaustible resource extraction life cycle saving and non atomic games existence theorems for a class of optimal allocation problems abstract this paper investigates the problem concerning the existence of a solution to a diverse class of optimal allocation problems which include models of cake eating exhaustible resource extraction life cycle saving and non atomic games a new formulation that encompasses all these diverse models is provided examples of these models for which a solution does not exist and the causes of the non existence are studied two theorems are provided to tackle the existence problem under different conditions several analytical examples with a closed form solution are offered to illustrate the usefulness of the existence theorems

a rank dependent utility model of uncertain lifetime abstract in a continuous time life cycle model of consumption with an uncertain lifetime we use a non parametric specification of rank dependent utility theory to characterize the preferences of the agent we prove that time consistency holds for a subclass of probability weighting function providing the foundation for a constant rate of time preference that interacts multiplicatively with the hazard rate instead of additively as in the yaari 1965 seminal model we calibrate both models to explain the hump in the life cycle consumption and show that the multiplicative model is more robust

cumulative offer process is order independent this note shows that in the matching with contracts model the outcome of the cumulative offer process is order independent if every hospital has a choice function that satisfies the bilateral substitutability condition and the irrelevance of rejected contracts condition

matching with contracts comment abstract the matching with contracts model hatfield and milgrom 2005 is widely considered to be one of the most important advances of the last two decades in matching theory one of their main messages is that the set of stable allocations is non empty under a substitutes condition we show that an additional irrelevance of rejected contracts irc condition is implicitly assumed throughout their analysis and in the absence of irc several of their results including the guaranteed existence of a stable allocation fail to hold jel c78 d86

an evaluation of the life cycle effects of minimum pensions on retirement behavior in this paper we explore the effects of the minimum pension program on welfare and retirement in spain this is done with a stylized life cycle model which provides a convenient analytical characterization of optimal behavior we use data from the spanish social security to estimate the behavioral parameters of the model and then simulate the changes induced by the minimum pension in aggregate retirement patterns the impact is substantial there is a threefold increase in retirement at 60 the age of first entitlement with respect to the economy without minimum pensions and total early retirement before or at 60 is almost 50 larger copyright 2007 john wiley sons ltd

designing subnational institutions regional and municipal reforms in postauthoritarian chile this article conceptualizes decentralization as a change in the institutional rules that divide political authority and governing capacity between levels of government by emphasizing the institutional dimension the author argues that different approaches to the study of institutions namely rational and historical institutionalism can generate analytical leverage on the contemporary trend of decentralization in the chilean case rationalist perspectives illuminate the country s continued status as one of latin america s most centralized polities comparatively weak subnational institutions directly reflect the strategic design considerations of national politicians however concepts central to historical institutionalism including critical junctures and unanticipated consequences explain how and why decentralization gained steam in the postauthoritarian period specifically chile s shift to more decentralized institutions is the legacy of pinochet era reforms of subnational government sequencing

bidding for army career specialties improving the rotc branching mechanism motivated by the low retention rates of us military academy and reserve officer training corps graduates the army recently introduced incentives programs in which cadets could bid 3 years of additional service obligation to obtain higher priority for their desired branches the full potential of this incentives program is not utilized because of the rotc s deficient matching mechanism i propose a design that eliminates these shortcomings and mitigates several policy problems the army has identified in contrast to the rotc mechanism my design utilizes market principles more extensively and it is a hybrid between a market mechanism and a priority based allocation mechanism

on stable and strategy proof rules in matching markets with contracts abstract this paper studies stable and one sided strategy proof rules in many to one matching markets with contracts not assuming any kind of substitutes condition or the law of aggregate demand we obtain the following results first the number of stable and strategy proof rules is at most one second the doctor optimal stable rule whenever it exists is the unique candidate for a stable and strategy proof rule third a stable and strategy proof rule whenever it exists is second best optimal for doctor welfare in that no individually rational and strategy proof rule can dominate it this last result is further generalized to non wasteful and strategy proof rules due to the weak assumptions our analysis covers a broad range of markets including cases where a unique stable and strategy proof rule is not equal to the one induced by the cumulative offer process or the deferred acceptance algorithm

the career costs of children this paper analyzes the life cycle career costs associated with child rearing and decomposes their eects into unearned wages as women drop out of the labor market loss of human capital and selection into more child friendly occupations we estimate a dynamic life cycle model of fertility occupational choice and labor supply using detailed survey and administrative data for germany for numerous birth cohorts across dierent regions we use this model to analyze both the male female wage gap as it evolves from labor market entry onward and the eect of pro fertility policies we show that a substantial portion of the gender wage gap is explainable by realized and expected fertility and that the long run eect of policies encouraging fertility are considerably lower than the short run eects typically estimated in the literature

uncertain lifetime and intertemporal choice risk aversion as a rationale for time discounting this article makes explicit the links between preferences over lotteries on length of life and intertemporal choice it shows that the approach used by traditional life cycle models to account for uncertain survival corresponds to a strong assumption of risk neutrality with respect to length of life relaxing such an assumption leads us to develop a more general formulation of lifetime utility in which time discounting is directly related to preferences over length of life exponential and hyperbolic discounting are found to result in a first approximation from constant and hyperbolic risk aversion with respect to length of life

optimal life insurance purchase and consumption investment under uncertain lifetime abstract in this paper we consider optimal insurance and consumption rules for a wage earner whose lifetime is random the wage earner is endowed with an initial wealth and he also receives an income continuously but this may be terminated by the wage earner s premature death we use dynamic programming to analyze this problem and derive the optimal insurance and consumption rules explicit solutions are found for the family of crra utilities and the demand for life insurance is studied by examining our solutions and doing numerical experiments

social security and the retirement decision the effect of social security and private pensions on individual retirement decisions is modeled relaxing in turn three commonly maintained assumptions perfect capital markets actuarial fairness and certain lifetimes which together imply that there is no effect in each case raising the contribution level can cause systematic changes of either sign in general in individual retirement decisions for social security the effects associated with forced saving and deviations from actuarial fairness probably tend to advance retirement but those effects that arise solely from the insurance aspect of social security and private pensions are ambiguous in sign owing to the presence of a substitution effect that tends to delay retirement because the insurance benefits can be fully realized only by working longer

social security and retirement in uruguay abstractwe estimate a structural life cycle model for retirement behaviour using work history records of the main uruguayan pension programme the estimated coefficient of relative risk aversion is around 1 5 and the estimated discount rate is about 1 8 per cent per annum the marginal disutility of work increases with age and is larger for women than men and for private than public employees simulations show a very low impact of the 1995 pension reform on retirement ages many individuals in this population respond little to economic incentives and some individuals would advance rather than postpone retirement after the reform

the impact of the correlation between health expenditure and survival probability on the demand for insurance abstract this paper studies the effects of health shocks on the demand for health insurance and annuities along with precautionary saving in a dynamic life cycle model i argue that when the health shock can simultaneously increase health expenses and reduce longevity rational agents would neither fully insure their uncertain health expenses nor fully annuitize their wealth because the correlation between health expenses and longevity provides a self insurance channel for both uncertainties that is when the agent is hit by a health shock which simultaneously increases health expenses and reduces longevity she can use the resources originally saved for consumption in the reduced period of life to pay for the increased health expenses since the two uncertainties partially offset each other the precautionary saving generated in the model should be smaller than in a standard model without the correlation between health expenses and longevity in a quantitative life cycle model calibrated using the medical expenditure panel survey dataset i find that the health expenses are highly correlated with the survival probabilities and this correlation significantly reduces the demand for actuarially fair health insurance while its impact on the demand for annuities and precautionary saving is relatively small

a historical institutionalist approach to the uruguay round agricultural negotiations the reduction of agricultural trade barriers accomplished at the close of the uruguay round ur of the general agreement on tariffs and trade is a puzzle because previous research has suggested that producer groups would always succeed in blocking liberalization efforts the author explains this apparent puzzle through the use of a comparative historical method developed by collier and collier for analyzing the ur as a critical juncture the analysis suggests that transformations in productive technology enabled producer groups to reap extraordinary economic and political rents during most of the post world war ii era however the fiscal crises of the 1980s provided governments an incentive to exert relative autonomy from producer groups and initiate bargaining over trade barriers as trade barriers and the political influence of producer groups were reduced the ur emerged as the product of a critical juncture in the transition from the fordist to the post fordist mode of agricultural accumulation

uncertainty and hyperbolic discounting we propose an evolutionary explanation for the pattern of intertemporal preference reversals often ascribed to hyperbolic discounting we take the view that preferences manifested for example in urges cravings and inclinations are the outcome of evolutionary forces and so will induce animals or humans to make survival maximizing choices in typical decision problems we show that if the typical problem involves payoffs whose realization times are uncertain then optimal preferences give rise to relatively patient behavior when the time horizon is long but induce a switch to impatience when the horizon grows short such reversals do not entail dynamic inconsistency in typical decision problems behavior there is optimal however if a decision maker is confronted with a choice for which the realization time uncertainty falls outside the evolutionary norm her preferences may well prompt her to behave inconsistently we argue that if such a choice problem recurs her evolutionarily endowed aability to learn will lead her to make self commitments against these urges this abstract was borrowed from another version of this item

new evidence on pensions social security and the timing of retirement using a unique dataset that links the economic and demographic information of households with the details of their pension formulas i estimate the combined effect of social security and pension benefits on the probability of retirement in a cross section of the population near retirement age the accrual rate of retirement wealth is shown to be a significant determinant of the probability of retirement simulations of extensions in pension coverage comparable to those that occurred in the early postwar period can account for one fourth of the contemporaneous decline in labor force participation rates 1998 elsevier science s a all rights reserved

the individual life cycle annuity market imperfections and economic growth we study the effects of an annuity market imperfection on individual agents life cycle decisions and on the macroeconomic growth rate in an overlapping generations model with single sector endogenous growth our model features both age dependent mortality and labour productivity we model imperfect annuities by introducing a load factor on the annuity rate faced by finitely lived agents our main finding is that annuity market imperfections decrease economic growth because less assets are necessary for consumption late in life in addition we find that both the quantitative and qualitative effects of annuity market imperfections are grossly overestimated in a partial equilibrium analysis because it disregards general equilibrium repercussions

optimal choice of health and retirement in a life cycle model abstract we examine within a life cycle model the simultaneous choice of health care and retirement together with consumption health tends to have an impact on retirement through morbidity determining earnings and the disutility of work and through longevity determining the need to accumulate retirement wealth conversely the age of retirement drives the demand for health care through the value of survival and the value of morbidity reductions we characterise the optimal relationship between health expenditure and retirement and apply our model to analyse the effects of moral hazard in the annuity market while moral hazard always induces excessive health investments and an excessive duration of working life it also triggers an excessive level of consumption if the impact of health on the disutility of work is sufficiently large we examine a transfer scheme and mandatory retirement as policies towards curtailing moral hazard numerical analysis illustrates the role of moral hazard in shaping the life cycle allocation

stable and strategy proof matching with flexible allotments we introduce a framework of matching with flexible allotments that can be used to model firms with cross division hiring restrictions our framework also allows us to nest some prior models of matching with distributional constraints building upon our recent work on observable substitutability we show that multi division choice functions with flexible allotments enable stable and strategy proof matching these results illustrate the value of clearly mapping when stable and strategy proof matching is possible

fair implementation of diversity in school choice many school districts have objectives regarding how students of different races ethnicity or religious backgrounds should be distributed across schools a growing literature in mechanism design is introducing school choice mechanisms that attempt to satisfy those requirements we show that mechanisms based on the student proposing deferred acceptance may fail to satisfy those objectives but that by using instead the school proposing deferred acceptance together with a choice function used by the schools which incorporates a preference for satisfying them can optimally approximate the diversity objectives while still satisfying an appropriate fairness criterion we provide analytical results which show that the proposed mechanism has a general ability to satisfy those objectives as opposed to some currently proposed mechanisms which may yield segregated assignments

pension design with a large informal labor market evidence from chile this article investigates the fiscal and welfare trade offs involved in designing a pension system when workers can avoid contributing by working informally using a life cycle model of labor supply and saving decisions i structurally estimate preferences and earnings opportunities in the formal and informal sectors using data on chilean households i find limited support for formal jobs rationing instead mandatory pension contributions significantly encourage informality policy experiments show that chile could lower minimum pension spending by 23 while guaranteeing the same income to retirees if the minimum pension s implicit tax rate was increased to 60

is it really good to annuitize although rational consumers without bequest motives are better off investing exclusively with annuitized instruments in partial equilibrium we demonstrate the welfare effect of annuitization is ambiguous in general equilibrium on account of pecuniary externalities absent institutional constraints like prices and budgets the optimal consumption rule would have marginal utility increase at the preferential discount rate in a rational competitive equilibrium where households fully annuitize the growth rate of marginal utility will be the discount rate minus the interest rate resulting in a consumption profile that is too flat accidental bequests transfer wealth from the old to the young steepening the consumption profile and yielding a better equilibrium if households are restricted to keynesian consumption functions the optimal irrational equilibrium with standard preferences can replicate observed consumption and macroeconomic behavior and the equilibrium without annuities delivers higher utility than the equilibrium with annuities whereas preceding papers have merely hypothesized that households might engage in socially optimal yet irrational behavior the failure of households to annuitize is a real world example of this policymakers should not take steps to encourage more annuitization by the public

valuing future risks to life environmental policies that alter future mortality rates may affect both current and future generations this paper examines willingness to pay for future risk reductions from the perspective of the current generation the life cycle consumption saving model implies that an individual discounts future risks to himself at the consumption rate of interest if capital markets are perfect the consumption rate equals the market rate of interest otherwise the consumption rate exceeds the market rate and numerical results suggest that the implied discount factor may be substantial the overlapping generations model implies that a member of the current generation discounts the value of risks to future generations at the rate at which current consumption is substituted for a bequest

why nations become wealthy the effects of adult longevity on saving we analyze steady state and out of steady state effects of the transition in adult longevity on the national saving rate using historical data and international panel data the rise in adult life expectancy has a large and statistically significant effect on aggregate saving the effects have been especially pronounced in east asia because its mortality transition was very rapid gains in life expectancy are much more important than declines in child dependency population aging may not lead to lower saving rates in the future if life expectancy and the duration of retirement continue to increase

contracts versus salaries in matching a general result abstract it is shown that a matching market with contracts can be embedded into a matching market with salaries under weaker conditions than substitutability of contracts in particular the result applies to the recently studied problem of cadet to branch matching as an application of the embedding result a new class of mechanisms for matching markets with contracts is defined that generalize the firm proposing deferred acceptance algorithm to the case where contracts are unilateral substitutes for firms

the economics of risks to life this study asks two questions 1 what is the net value to the representative individual over his life time of activities that alter age specific mortality risks 2 what is the cost to the representative individual of activities that take a life at random at a given age results derived from an economic demographic model with full age specific accounting have a strong actuarial flavor alterations in the mortality schedule caused say by a medical breakthrough should be assessed on the utility of expected additional life years production and reproduction less expected social costs of support loss of life at a specific age due to an accident say should be assessed on the opportunity costs of expected lost years of living lost production and reproduction less expected social support costs the results show that current methods in general leave out an important social transfer term that value of a life lost is highly age dependent and that the degree of diminishing returns to consumption is crucial in calculations of the economic cost of risks

strotz meets allais diminishing impatience and the certainty effect abstract decision makers tend to exhibit a higher degree of impatience when considering a delay to an immediate reward than when contemplating an identical delay to an equal future reward this work argues that diminishing impatience originates from the distinction between the certain present and the risky future a simple functional representation of preferences exhibiting time inconsistency when the future is uncertain is derived experimental evidence which is inconsistent with other formulations that account for diminishing impatience supports the proposed approach the new theory uncovers a tight relation between diminishing impatience and well known behavioral regularities in choice under risk and uncertainty jel d12 d81

the existence uniqueness and optimality of the terminal wealth depletion time in life cycle models of saving under uncertain lifetime and borrowing constraint abstract in life cycle models of saving under uncertain lifetime and borrowing constraint the consumer s wealth must be depleted before the maximum lifetime this paper investigates the existence uniqueness and optimality of the terminal wealth depletion time it is proved that the optimal terminal wealth depletion time if such exists must be unique if the equation that determines the optimal terminal wealth depletion has multiple solutions then the location of the optimal solution will depend on the configuration of the solutions an optimality test is developed to verify whether a candidate solution for the terminal wealth depletion time is indeed optimal the paper introduces a method new to economics the dubovitskii milyutin adjoint equation to analyze the properties of the optimal control problem

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

longevity and life cycle savings we add health and longevity to a standard model of life cycle saving and show that under plausible assumptions increases in life expectancy lead to higher savings rates at every age even when retirement is endogenous in a stationary population these higher savings rates are offset by increased old age dependency but during the disequilibrium phase when longevity is rising the effect on aggregate savings rates can be substantial we find empirical support for this effect using a cross country panel of national savings rates

social security liquidity and early retirement abstract this paper investigates the effect of social security on retirement decisions it argues that it is important to take realistic account of how recipients evaluate potential benefit flows the paper presents a simple retirement model in which liquidity constraints prompt individuals to use higher than market discount rates in evaluating future pension benefits as a consequence even an apparently actuarially fair early retirement benefit could on average discourage continued work using data on individual retirement decisions i find support for the argument that this phenomenon contributes to some of the observed increase in early retirement

the effects of health insurance and self insurance on retirement behavior this paper provides an empirical analysis of the effects of employer provided health insurance medicare and social security on retirement behavior using data from the health and retirement study we estimate a dynamic programming model of retirement that accounts for both saving and uncertain medical expenses our results suggest that medicare is important for understanding retirement behavior and that uncertainty and saving are both important for understanding the labor supply responses to medicare half the value placed by a typical worker on his employer provided health insurance is the value of reduced medical expense risk raising the medicare eligibility age from 65 to 67 leads individuals to work an additional 0 074 years over ages 60 69 in comparison eliminating 2 years worth of social security benefits increases years of work by 0 076 years

contracts versus salaries in matching workers and firms may bargain over general multidimensional contracts they may negotiate over health benefits housing retirement plans etc substitutes on the other hand is the assumption commonly placed on firms preferences to guarantee the existence of stable matchings of workers and firms in this paper i show that when firms regard contracts as substitutes bargaining over contracts can be embedded into a model of bargaining over wages the economics of the embedding is straightforward except for a small twist when a firm and a worker negotiate over a contract they may bargain over many dimensions however the pareto frontier of contracts is in a sense one dimensional what is better for the worker is worse for the firm so pareto optimal contracts may be viewed as salaries with the better contracts for the firm meaning lower salaries and the better contracts for the worker meaning higher salaries the twist is that a firm s ranking over contracts might be affected by the firm s other hires for example health plan a may be better than b for a firm if it has many employees but b beats a if it has few when contracts are substitutes it turns out that the ranking is not affected in this way hatfield and milgrom 2005 present a model of two sided worker firm matching with contracts a firm will hire a collection of workers and will negotiate a contract with each one of them the model is a generalization of kelso and crawford 1982 where each firm and each worker negotiate a wage 1 kelso and crawford show that when firms demands satisfy gross substitutes the core of the matching market is nonempty hatfield and milgrom show that when the firms preferences over contracts satisfy their notion of substitutes the core of the market is nonempty i show that hatfield and milgrom s model can be embedded into the model of kelso and crawford hatfield and milgrom s assumption of substitutability enables an embedding where firms demands for workers satisfy kelso and crawford s notion of gross substitutes as a result the nonemptiness of the core follows from the argument in kelso and crawford and their salary adjustment algorithm finds a stable matching of workers to firms and a vector of supporting salaries hatfield and milgrom s paper is an elegant analysis of two sided matching it simplifies matching models and makes their relationship to auction models more transpar ent their paper contributes much more than showing the nonemptiness of the core when firms and workers can sign general contracts and my result does not diminish

agricultural policy reform in the european community a three level game analysis since the beginning of the general agreement on tariffs and trade gatt uruguay round the european community ec has twice attempted to reform the common agricultural policy cap resulting in the february 1988 stabilizers reform package and the may 1992 macsharry reform package curiously these two attempts at reform resulted in vastly different outcomes the 1988 reform was incremental in nature and functioned mainly as a stopgap measure the 1992 reform however called for a shift from nontransparent consumer subsidies to transparent taxpayer subsidies this shift represented a fundamental change in the philosophy underlying the cap and laid the groundwork for an agreement in the uruguay round this article examines the conditions under which this important policy shift occurred it employs an interpretative case study method that demonstrates the empirical value of robert putnam s two level game model when it is expanded to consider the simultaneous interaction of negotiations at three levels the domestic level the ec level and the international level the study concludes that the power and heterogeneity of interest groups at various levels of the game matter that the real and perceived costs of no agreement affect the degree of substantive reform and finally that a three level interactive strategy is important in achieving an acceptable agreement at each level of the game

health and other asset holdings despite clear evidence of correlations between financial and medical statuses and decisions most models treat financial and health related choices separately this article bridges this gap by proposing a tractable dynamic framework for the joint determination of optimal consumption portfolio holdings health investment and health insurance we solve for the optimal rules in closed form and capitalize on this tractability to gain a better understanding of the conditions under which separation between financial and health related decisions is sensible and of the pathways through which wealth and health determine allocations welfare and other variables of interest such as expected longevity or the value of health furthermore we show that the model is consistent with the observed patterns of individual allocations and provide realistic estimates of the parameters that confirm the relevance of all the main characteristics of the model

unilateral substitutability implies substitutable completability in many to one matching with contracts abstract we prove that the unilateral substitutability property introduced in hatfield and kojima 2010 implies the substitutable completability property from hatfield and kominers 2014 this paper provides a novel linkage between these two sufficient conditions for the existence of a stable matching in many to one matching markets with contracts a substitutable completion of a preference is a substitutable preference created by adding some sets of contracts to the original preference order we provide an algorithm which when operated on the unilaterally substitutable preferences produces such a substitutable completion thus it provides a constructive proof of the connection between the two properties

some further properties of the cumulative offer process we investigate extension resource monotonicity and respecting improvements properties of the cumulative offer process cop extension monotonicity says that no doctor is to be better off whenever others start preferring more contracts to being unmatched resource monotonicity on the other hand requires that no doctor becomes worse off whenever hospitals start hiring more doctors the cop becomes extension and resource monotonic whenever contracts are unilateral substitutes us satisfying an irrelevance of rejected contracts condition irc this result implies that the cop is population monotonic under us and the irc we then turn to the respecting improvements property which states that no doctor should be harmed if some of his contracts become more popular with an additional law of aggregate demand condition we show that the cop respects improvements

matching with contracts we develop a model of matching with contracts which incorporates as special cases the college admissions problem the kelso crawford labor market matching model and ascending package auctions we introduce a new law of aggregate demand for the case of discrete heterogeneous workers and show that when workers are substitutes this law is satisfied by profit maximizing firms when workers are substitutes and the law is satisfied truthful reporting is a dominant strategy for workers in a worker offering auction matching algorithm we also parameterize a large class of preferences satisfying the two conditions

macroeconomic implications of early retirement in the public sector the case of brazil abstract in brazil generous public sector pensions have induced civil servants to retire on average at age 55 in this paper we assess the efficiency gains from eliminating such policy induced early retirement in a two sector overlapping generations economy we find the adverse effects of that policy are significant specifically the generosity of public sector pensions which induces civil servants to retire 5 years prematurely at age 55 rather than at age 60 is often associated with decreases in steady state output gdp of almost 3 and welfare losses in the private sector of more than 3 of consumption

the effects of health wealth and wages on labour supply and retirement behaviour this paper estimates a life cycle model of labour supply retirement and savings behaviour in which future health status and wages are uncertain individuals face a fixed cost of work and cannot borrow against future labour pension or social security income the method of simulated moments is used to match the life cycle profiles of labour force participation hours worked and assets that are estimated from the data to those that are generated by the model the model establishes that the tax structure of the social security system and pensions are key determinants of the high observed job exit rates at ages 62 and 65 removing the tax wedge embedded in the social security earnings test for individuals aged 65 and older would delay job exit by almost one year by contrast social security benefit levels health and borrowing constraints are less important determinants of job exit at older ages for example reducing social security benefits by 20 would cause workers to delay exit from the labour force by only three months

median stable matchings in two sided markets we show that generalized median stable matchings exist in many to many matching markets when contracts are strong substitutes and satisfy the law of aggregate demand

matching with branch of choice contracts at the united states military academy branch selection is a key decision in a cadet s military career cadets at usma can increase their branch priorities at a fraction of slots by extending their service agreement this real life matching problem lls an important gap in market design literature although priorities fail a key substitutes condition the agent optimal stable mechanism is well dened and in contrast to the current usma mechanism it is fair stable and strategy proof adoption of this mechanism benets cadets and the army this new

time to cook expenditure at retirement in spain detailed panel expenditure data from spain reveal little evidence of a retirement consumption puzzle in 1985 2004 there is a drop in food at home expenditure in the later years of the sample along with evidence of households paying lower prices for the food they purchase after retirement however our findings are consistent with a model that allows for home production as long as one accounts for the greater participation in housework by men after retirement coinciding with this latter period our work adds to the evidence from several countries and helps in reconciling the retirement consumption puzzle with life cycle models

survival versus consumption we develop an indirect method to estimate utility and willingness to pay wtp for reductions in the risk of death at various ages using a life cycle model of consumption we assume that an individual sets his consumption level each year so as to maximize his expected lifetime utility alternative assumptions about opportunities for borrowing and annuities characterize two polar types of societies in our robinson crusoe case an individual must be entirely self sufficient and annuities are not available in our perfect markets case an individual can borrow against future earnings and purchase actuarially fair annuities we show that under these assumptions wtp is the sum of livelihood discounted expected future earnings and consumer surplus to illustrate our methods we derive wtp for an average financially independent american man under plausible assumptions the model is calibrated to 1978 earnings e g 18 000 per year for men aged 45 54 with at least some income in the robinson crusoe case wtp increases from 500 000 at age 20 to a peak of 1 250 000 at age 40 and declines to 630 000 at age 60 in the perfect markets case age variations are less pronounced wtp is 1 050 000 at age 20 peaks at 1 070 000 at age 25 and declines to 600 000 at age 60 these results suggest that individuals value risks to their lives at several times the pro rata share of their future earnings

spending retirement on planet vulcan the impact of longevity risk aversion on optimal withdrawal rates corrected july 2011 recommendations from the media and financial planners regarding retirement spending rates deviate considerably from utility maximization models this study argues that wealth managers should advocate dynamic spending in proportion to survival probabilities adjusted up for exogenous pension income and down for longevity risk aversion

uncertain lifetime risk aversion and intertemporal substitution abstract this paper describes a simple utility function for dynamic choice problems under uncertain lifetime preferences are time consistent and similar to selden s ordinal certainty equivalent hypothesis for yaari s model of consumption savings decisions holding intertemporal substitution fixed the consumption growth rate is increasing decreasing in the mortality rate if risk aversion is lower higher than under expected utility preferences

a structural retirement model the life cycle model analyzed here constrains most work on the main job to be full time partial retirement entails a wage reduction and frequently a job change maximum likelihood estimates of utility function parameters are designed to incorporate information on the age of leaving full time work and the age of full retirement the model closely tracks retirement behavior including peaks in retirement activity at 62 and 65 the paper explores the relation of these peaks to nonlinearities in the budget constraint created by various retirement programs policy analyses based on this and on earlier models with simpler structures are compared the retirement choice is one of the more prominent manifestations of life cycle behavior the decision is the result of an interplay between an individual s preferences and a set of incentives which change in complicated ways as the individual progresses through his or her late 50 s and 60 s the purpose of this study is to formulate and estimate a structural model which incorporates in a fundamental way this interplay between lifetime preferences and incentives and to illustrate how such a model may be used to investigate retirement behavior a structural model of this type is essential for analyzing potential policy changes which can be expected to affect incentives in varying ways over a number of years in the life cycle the current study incorporates two structural features which have frequently been omitted from previous studies first the model requires that an individual who wishes to reduce work effort below full time must accept a reduced hourly wage rate in order to do so this reflects empirical evidence from micro data sets which indicates that around one third of older individuals engage in part time work at one time or another and that regardless of whether or not these older workers change jobs to obtain part time work they usually take wage cuts as compared to their previous full time work 2 the fact that an individual is willing to accept a lower wage rate in return for the opportunity to work fewer than full time hours contains important information about the preferences of the

social security growth and welfare in overlapping generations economies with or without annuities we examine the impact of a stylized pay as you go paygo social security program in an economy of overlapping generations with equilibrium growth we adopt realistic mortality and other demographic assumptions and allow for the presence or absence of life annuities in all cases steady state economies with paygo social security programs grow more slowly than those without also we find that lifetime expected utilities are lower for existing and future households in steady state economies with social security we also report the effect of social security on the age profile of consumption and explore the effects of longer life expectancy compensating social security program changes and capital subsidies

the welfare value of fda s mercury in fish advisory a dynamic reanalysis assessing the welfare impact of consumer health advisories is a thorny task recently shimshack and ward 2010 studied how u s households responded to fda s 2001 mercury in fish advisory they found that the average at risk household reduced fish consumption by 21 resulting in a 17 reduction in mercury exposure at the cost of a 21 reduction in cardioprotective omega 3 fatty acids based on a static assessment of the health costs and benefits shimshack and ward concluded that the advisory policy resulted in an overall consumer welfare loss in this note we propose a dynamic assessment that links the long term cardiovascular health effects of the advisory to life cycle consumption we find that under reasonable assumptions the welfare loss might be much larger than suggested our analysis highlights the importance of accounting for dynamic effects when evaluating persistent changes in exposure to environmental health risks

how social security and medicare affect retirement behavior in a world of incomplete markets this paper provides an empirical analysis of how the u s social security and medicare insurance system affect the labor supply of older males in the presence of incomplete markets for loans annuities and health insurance we estimate a detailed dynamic programming dp model of the joint labor supply and social security acceptance decision focusing on a sample of males in the low to middle income brackets whose only pension is social security the dp model delivers a rich set of predictions about the dynamics of retirement behavior and comparisons of actual vs predicted behavior show that the dp model is able to account for wide variety of phenomena observed in the data including the pronounced peaks in the distribution of retirement ages at 62 and 65 the ages of early and normal eligibility for social security benefits respectively we identify a significant fraction of health insurance constrained individuals who have no form of retiree health insurance other than medicare and who can only obtain fairly priced private health insurance via their employer s group health plan the combination of significant individual risk aversion and a long tailed pareto distribution of health care expenditures implies that there is a significant security value for these individuals to remain employed until they are eligible for medicare coverage at age 65 overall our model suggests that a number of heretofore puzzling aspects of retirement behavior can be viewed as artifacts of particular details of the social security rules whose incentive effects are especially strong for lower income individuals and those who do not have access to fairly priced loans annuities and health insurance

the social security early entitlement age in a structural model of retirement and wealth abstract a structural life cycle model of retirement and wealth attributes retirement peaks at both ages 62 and 65 to social security rules and wide heterogeneity in time preferences those with high discount rates often retire at 62 they have few assets and heavily value lost benefits from working after 62 largely ignoring potential increases in later benefits declining actuarial adjustments beginning at 65 induce those with low discount rates to retire at 65 raising the social security early entitlement age to 64 induces 5 of the population to delay retiring shifting the retirement spike from 62 to 64

growth of agricultural protection in east asia abstract japan is well known for its restrictions on food imports less well known is the fact that south korea and taiwan are also protective of their agricultural sectors this protectionism began early this century when all three countries were part of the japanese empire and it has increased rapidly during the 1960s and 1970s today food prices in east asia average two or three times higher than in international markets reflecting levels of protection that rival those in western europe

is there a meaningful definition of the value of a statistical life a definition of the value of a statistical life is derived this definition has a meaningful interpretation in terms of the monetary value of expected present value utility if consumption is age independent in all other cases empirical estimates of the value of a statistical life are biased estimators of the monetary counterpart to expected present value utility