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

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

a composite leading indicator of the inflation cycle for the euro area we evaluate the performance of composite leading indicators of turning points of inflation in the euro area constructed by combining the techniques of fourier analysis and kalman filters with the national bureau of economic research methodology in addition the study compares the empirical performance of euro simple sum and divisia monetary aggregates and provides a tentative answer to the issue of whether or not the uk should join the euro area our findings suggest that first the cyclical pattern of the different composite leading indicators very closely reflect that of the inflation cycle for the euro area second the empirical performance of the euro divisia is better than its simple sum counterpart and third the uk is better out of the euro area 2005 taylor francis group ltd

dynamic processes for public goods an institution oriented survey a nontechnical but nevertheless not informal account is given of dynamic models recently developed in the theory of public goods after a purely descriptive presentation of three basic models section 2 and their many subsequent extensions section 3 various reflections are made in section 4 on issues raised by an institutional perspective first the usual planning interpretation of such processes is presented and commented upon next contrasting normative and positive approaches to public goods it is argued that one category of processes can be given an interpretation much in line with the literature on positive public economics third the planning vs voluntary exchange institutions are contrasted from the point of view of cooperation among the agents in an economy with public goods

liquidity effects and the monetary transmission mechanism several recent papers provide strong empirical support for the view that an expansionary monetary policy disturbance generates a persistent decrease in interest rates and a persistent increase in output and employment existing quantitative general equilibrium models which allow for capital accumulation are inconsistent with this view there does exist a recently developed class of general equilibrium models which can rationalize the contemporaneous response of interest rates output and employment to a money supply shock however a key shortcoming of these models is that they cannot rationalize persistent liquidity effects this paper discusses the basic frictions and mechanisms underlying this new class of models and investigates one avenue for generating persistence we argue that once a simplified version of the model in christiano and eichenbaum 1991 is modified to allow for extremely small costs of adjusting sectoral flow of funds positive money shocks generate long lasting quantitatively significant liquidity effects as well as persistent increases in aggregate economic activity

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

non constant discounting and consumption portfolio and life insurance rules consumption portfolio and life insurance rules are studied for an investor with an arbitrary but known distribution of lifetime with time inconsistent preferences solutions are found for naive and sophisticated agents for the family of cara and crra utility functions effects of non constant discounting are illustrated numerically

economic and monetary union in europe the european council s maastricht agreement maps out a precise route to monetary union and the eventual introduction of a common currency my discussion begins with a look at the general arguments for and against monetary union i shall then discuss the proposed constitution of the european central bank and whether it is likely to be conducive to monetary stability together with some of the problems posed by the transition to the new regime finally i will turn to the issue of rules for the conduct of fiscal policy and the question of fiscal federalism

the dynamic effects of aggregate demand and supply disturbances we interpret fluctuations in gnp and unemployment as due to two types of disturbances disturbances that have a permanent effect on output and disturbances that do not we interpret the first as supply disturbances the second as demand disturbances demand disturbances have a hump shaped mirror image effect on output and unemployment the effect of supply disturbances on output increases steadily over time peaking after two years and reaching a plateau after five years

dependents and the demand for life insurance a breadwinner s demand for life insurance depends on the demographic structure of his or her household the author captures the relationship by extending menahem e yaari s life insurance framework to include the preferences of all household members explicitly in many households the insured is the husband and the beneficiaries are his wife and offspring their demand for insurance of the husband s life is derived from a life cycle model in which income is uncertain the results are intuitively appealing in that they describe the explicit calculation made by purchasers of life insurance empirical estimates based on observed life insurance ownership also are encouraging copyright 1989 by american economic association

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

portfolio choice and mortality contingent claims the general hara case abstract we solve a portfolio choice problem that includes mortality contingent claims and labor income under general hara preferences our contribution beyond existing literature is to i focus on the covariance between shocks to human capital and financial capital to ii model the utility of a family with basic needs and iii include life insurance and pension annuity claims in one unified life cycle model our solution employs a similarity reduction mapping which reduces the two dimensional hjb equation into one dimension this allows for the implementation of a quick numerical scheme and when shocks to human capital and financial capital are perfectly correlated a closed form expression is obtained as a special case

the shocking nature of output fluctuations in some eu countries recent literature on optimum currency areas has emphasized the importance of analysing the nature of the shocks facing the economy when deciding among alternative exchange rate regimes in this paper we use a structural var to model the joint behaviour of real output nominal interest rates real interest rates and real money balances in response to four exogenous disturbances identifying restrictions are used so that these disturbances can be interpreted as supply money supply is and money demand shocks the analysis is performed on five major european countries the principal objective is to investigate both the relative importance of these shocks in explaining the variance of output at different time horizons and the dynamic response of these economies to each type of shock evidence presented in this paper indicates that the five economies under study have faced very different types of economic shocks over the recent past the implication is that these countries are unlikely to meet the criteria f

evidence on the insurance effect of bankruptcy exemptions abstract defaulting on one s debts when experiencing an adverse event can help insure households against unexpected income risks but the effect of allowing default on debt levels is ambiguous not least because lenders may restrict access to credit hence the optimal punishment for bankruptcy is unclear the us states allows householders to keep a variety of assets when filing for bankruptcy the bankruptcy exemptions and these exemptions change substantially between states and over time by exploiting these differences this study shows that raising the exemptions i marginally decreases the level of unsecured debt that household s hold ii makes consumption smoother thus despite the effect on debt levels the generous provisions to debtors in arrears may be helping us households to insure themselves against income risk

constitutional political economy in the european union this article surveys recent research in constitutional political economy in europe although not all of theworks discussed necessarily focus only on european constitutional issues or are written by europeans european constitutional issues figure importantly in each area surveyed the article examines the literatures linking constitutional institutions to economic growth government size government deficits and corruption bicameralism direct democracy and federalism three exclusively european topics also are covered constitutional issues in the transition countries the structure of the european union and the draft constitution for the european union

leaving some stones unturned a reassessment of iterative planning theory abstract drawbacks of standard iterative planning algorithms include i planner actions are just on paper calculations without direct economic consequences and may converge very slowly ii planners cannot act systematically on hunches and intuitions and iii planners can observe unrealistically detailed information these problems are addressed through a bayesian learning model it is shown in sharp contrast to the standard literature that planners will not necessarily settle in the long run on even approximately optimal prices in an example the planner can end up setting prices in every period that guarantee chronic shortage this is an outcome of a fully optimizing model

how well does the is lm model fit postwar u s data postwar u s time series for money interest rates prices and gnp are characterized by a multivariate process driven by four exogenous disturbances those disturbances are identified so that they can be interpreted as the four main sources of fluctuations found in the is lm phillips curve model money supply money demand is and aggregate supply shocks the dynamic properties of the estimated model are analyzed and shown to match most of the stylized predictions of the model the estimated decomposition is also used to measure the relative importance of each shock to interpret some macroeconomic episodes and to study sources of permanent shocks to nominal variables

a utility and cpt based comparison of life insurance contracts with guarantees abstract some recent literature studies whether contracts including financial guarantees can be preferred by a utility maximizing investor the main result for contracts exposed solely to financial risk e g doskeland and nordahl 2008 dichtl and drobetz 2011 is that expected utility theory eut fails to interpret demand for guarantees while cumulative prospect theory cpt is able to support the demand while the development of the financial market has a significant impact on the portfolio choice some other non financial risk might play an important role too in the present paper we take life insurance products as an example where the long term nature of these contracts places a special emphasis on the uncertain lifetime of the investor we incorporate the mortality risk and investigate its effect on the attractiveness of contracts offering minimum interest rate guarantees to eut and cpt investors for this purpose we introduce two approaches for the consideration of multiple risk sources within cpt we illustrate the theoretical framework with numerous simulations and our numerical results show that a long term risk averse eut investor prefers products with guarantees

the median voter model in public choice theory the changing perception by public choice theorists about the relevance of the median voter model is a result of excessive extrapolation of the conclusions of theoretical models to the real world early in the 1970s the median voter model was often accepted as implying that the output produced in the public sector was what was most preferred by the median voter this claim is excessive because the median voter model is only a model of demand aggregation under majority rule and has little to say about the supply side of the public sector in the late 1970s many scholars identified several circumstances under which the model would not apply in theory but these critiques of the model were often viewed as reasons to abandon the median voter model altogether the model went from having excessive claims that made the model appear to be more powerful than it really is to excessive claims that made the model appear to be less powerful than it really is these latter claims were often in response to the earlier claims rather than to the model appropriately applied

do the asean countries and taiwan form a common currency area abstract common currency areas and asian common currency areas in particular are highly topical and somewhat controversial areas for research we explore the hypothesis that the members of the association of southeast asian nations meet necessary conditions for forming a common currency area and whether taiwan appears a natural member of such an area we test data on the asean countries and taiwan for consistency with a common currency area we produce the first evidence that these five asean countries and the asean countries plus taiwan meet the microeconomic criteria to form a common currency area

optimal portfolio selection with life insurance under inflation risk abstract this paper investigates a continuous time optimal consumption investment and life insurance decision problem of a family under inflation risk in the financial market there is a liquid inflation linked index bond market which can be utilized to hedge the inflation risk the explicit solutions are derived for constant relative risk aversion crra utility case by using martingale approach the roles of index bond are investigated and it is verified that the index bond may have different roles depending on the market parameters we analyze the effects of parameters on the optimal strategies with focus on the optimal demand for index bond and the optimal life insurance premium especially the changes of expected inflation rate and volatility of inflation rate can have both positive and negative impacts on the life insurance premium and their quantitative impacts are considerable

theoretical foundations of negotiations and cost sharing in transfrontier pollution problems the negotiations model is described by a dynamic process bearing on a multilateral externality that converges to an individually rational pareto optimum the process embodies a cost sharing rule for pollutant abatement in the countries involved derived from a sharing rule of the surplus that is also shown to have strategic stability in the game theoretic sense of an imputation in the core of some cooperative game associated with the negotiation process the connections are explored between this cost sharing rule and the free rider problem in public goods theory

theory and practice of decentralized planning procedures the paper surveys the theory of decentralized planning procedures dealing with price guided quantity guided and mixed procedures informational and incentive properties of the various procedures are dealt with as is the problem of public goods the practice of planning in the u s s r hungary and india is also discussed copyright 1990 by blackwell publishers ltd

the role of life insurance in an emerging economy human capital protection assets allocation and social interaction abstract in this paper we provide micro econometric evidence on the determinants of life insurance demand in china the largest emerging market in the world we employ the china household income project chip dataset for the year 2002 in the analysis the timing is ideal because of the nature of the less well developed capital markets and social security systems in china in 2002 which sets a suitable stage to study the insurance demand behavior of emerging markets the results indicate that both the human capital protection motive and the asset allocation motive are important in explaining the purchase of life insurance in china in addition we present three empirical regularities 1 the positive correlation between the returns to human capital and the returns to market portfolio decrease the demand for life insurance 2 both the current wealth and future income of a household exert curvilinear impacts on life insurance demand 3 the breadth of a households social connections has substantial impacts on life insurance demand

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

the acid rain game as a resource allocation process with an application to the international cooperation among finland russia and estonia we consider optimal cooperation in transboundary air pollution abatement among several countries under incomplete information i e local information only on marginal emission abatement costs and damage costs directions of emission abatement in each country are determined that generate a succession of emissions programs shown to converge to an economic optimum a cost sharing scheme that results from appropriately designed international transfers guarantees that the individual costs of all parties are nonincreasing along the path towards the optimum a version of maler s 1989 acid rain game is used for a numerical application

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