dynamic contracting under imperfect public information and asymmetric beliefs abstract we develop a dynamic principal agent model to show how imperfect public information and asymmetric beliefs about payoff relevant parameters agency conflicts and the agent s implicit incentives to influence the principal s posterior beliefs through his unobservable actions interact to affect optimal dynamic contracts we make a methodological contribution to the literature by solving the continuous time contracting problem using a discrete time approximation approach we obtain a simple characterization of optimal renegotiation proof contracts in terms of the solution to a nonlinear ordinary differential equation ode we then exploit the properties of the ode to derive a number of novel implications for the dynamics of long term contracts that alter the intuition gleaned from the previous literature optimism has a first order impact on incentives investment and output that could reconcile the private equity puzzle consistent with empirical evidence the interaction between asymmetric beliefs risk sharing and adverse selection costs could cause the time paths of the agent s incentive intensities to be increasing or decreasing our results also suggest that the incorporation of imperfect public information and asymmetric beliefs could potentially reconcile empirical evidence of an ambiguous relation between risk and incentives and a non monotonic relation between firm value and incentives permanent and transitory components of risk have differing effects on incentives which suggest that empirical investigations of the link between risk and incentives should appropriately account for different components of risk

financial contracting theory meets the real world an empirical analysis of venture capital contracts we compare the characteristics of real world financial contracts to their counterparts in financial contracting theory we do so by studying the actual contracts between venture capitalists vcs and entrepreneurs the distinguishing characteristic of vc financings is that they allow vcs to separately allocate cash flow rights board rights voting rights liquidation rights and other control rights we describe and measure these rights we then interpret our results in relation to existing financial contracting theories we also describe the interrelation and the evolution across financing rounds of the different rights query 1 query 2

investment under uncertainty heterogeneous beliefs and agency conflicts we develop a structural model to investigate the effects of asymmetric beliefs and agency conflicts on dynamic principal agent relationships optimism has a first order effect on incentives investments and output which could reconcile the private equity puzzle asymmetric beliefs cause optimal contracts to have features consistent with observed venture capital and research and development rd baker ruback and wurgler 2007 ben david graham and harvey 2008 further long term principal agent relationships feature dynamic actions by both parties for example vc projects have salient features such as dynamic staging of the vc s investments progressive vesting of the entrepreneur s stake and the presence of intertemporal milestones or performance targets that must be met for the project to continue observed contracts also feature complex combinations of different types of financial securities with debt and equity like

corporate conservatism and relative compensation this paper demonstrates that in a simple setting with managerial concern for reputation and asymmetric information on ability most managers may refrain from undertaking innovations that stochastically dominate an industry standard common components of uncertainty lead to market inferences of managerial ability based on relative performance managers who undertake the industry standard are consequently evaluated with a more accurate benchmark than those innovating discontinuities in compensation when performance is low because of firings lead managers to have differing valuations of an accurate benchmark depending on type in particular very high and very low ability managers are more likely to undertake superior innovations than those of average ability

specific experience household structure and intergenerational transfers farm family land and labor arrangements in developing countries data from indian rural household survey was used to test th hypothesis that the coexistence in traditional rural societies of extended intergenerational families infrequent land sales and high reliance on family members as farm laborers is the result of the economic advantages which accrue from the knowledge gained by farming a particular ploy of land over a long period of time the land specific experience of elderly members of a intergenerational household who farmed the land as a child and then as an adult are expecially critical in adverse weather years most previous investigators attributed the existence of multigenerational households the use of family members rather than hired laboreds and the infrequency of land sales to deficiencies in the market i e labor market imperfections and an absence of capital insurance and asset markets in the present investigations these same characteristics are viewed as having an economic advantages a model for estimating the contribution of the experience of the elderly household members to agricultural profits was developed and applied to data from a 3 year panel study of 2900 indian rural farm households the data was collected between 1968 71 by the national council of applied economic research the survey collected information on farm profits farm inputs demographic characteristics and the effects of weather conditions on profits a major limitation of the study was a lack of information on the duration of land ownership age of household members was substituted as a proxy for duration of ownership findings were consistent withe the hypothesis in poor agricultural years gross returns for households which contained an elderly household member were greater than the gross returns for comparable households which did not contain an elderly member the economic advantages of specific knowledge embodied in the experienced elderly farmer were comparable to the economic advantages which accrued to households whose members were more educated the hypothesis cannot fully explain the existence of intergenerational families since there is a relatively large proportion of such families among nonfarm families in many countries including india findings suggest that intergenerational families may provide for more occupational diversity and thereby reduce income risks the specific experience hypothesis has policy implications if technological changes are introduced the value of specific experience may be lost and the frequency of intergenerational households may decline the hypothesis may also explain why farmers are reluctant to agree to land redistribution and consolidation schemes this reluctance may disappear after sufficient technological change has occurred

performance comparisons and dynamic incentives it is well known that comparative performance information cpi can enhance efficiency in static principal agent relationships by improving the trade off between insurance and incentives in the design of explicit contracts in dynamic settings however there may be implicit as well as explicit incentives for example managerial career concerns and the ratchet effect in regulation we show that the dynamic effects of cpi on implicit incentives can either reinforce or oppose the familiar static insurance effect and in either case can be more important for efficiency the overall welfare effects of cpi are thus ambiguous and can be characterized in terms of the underlying information structure

management ownership and market valuation an empirical analysis we investigate the relationship between management ownership and market valuation of the firm as measured by tobin s q in a 1980 cross section of 371 fortune 500 firms we find evidence of a significant nonmonotonic relationship tobin s q first increases then declines and finally rises slightly as ownership by the board of directors rises for older firms there is evidence that q is lower when the firm is run by a member of the founding family than when it is run by an officer unrelated to the founder

intergenerational transfers and liquidity constraints a growing body of evidence indicates that liquidity constraints could affect a substantial proportion of u s consumers but little is known about why these constraints might exist an important but little explored issue is the relationship between inter vivos intergenerational transfers and liquidity constraints these transfers can ease borrowing constraints empirical transfer patterns match those predicted from a model in which transfers are allocated to liquidity constrained consumers in particular the distinction between current and permanent incomes of potential recipients is a key aspect of private transfer behavior the findings have important implications for our understanding of consumer behavior

arms races and negotiations two players simultaneously decide whether or not to acquire new weapons in an arms race game each player s type determines his propensity to arm types are private information and are independently drawn from a continuous distribution with probability close to one the best outcome for each player is for neither to acquire new weapons although each prefers to acquire new weapons if he thinks the opponent will there is a small probability that a player is a dominant strategy type who always prefers to acquire new weapons we find conditions under which the unique bayesian nash equilibrium involves an arms race with probability one however if the probability that a player is a dominant strategy type is sufficiently small then there is an equilibrium of the cheap talk extension of the game where the probability of an arms race is close to zero copyright 2004 wiley blackwell

agency and optimal investment dynamics agency problems limit firms access to capital markets curbing investment firms and investors seek contractual ways to mitigate these problems what are the implications for investment we present a theory of a firm s investment dynamics in the presence of agency problems and optimal long term financial contracts we derive results relating firms investment decisions current and past cash flows firm size capital structure and dividends among the results optimal investment is increasing in current and past cash flow and optimal investment is positively serially correlated over time after controlling for investment opportunities these results hold for a range of agency problems jel g30 g31 g32 g35 d82 d86 d92 copyright 2007 oxford university press

on the incentive effects of job rotation abstract a new employee may work hard to build his reputation this effect is greatest when he starts the longer he is employed at his job the more the firm will already have learned about his ability the incentives for an employee to influence the firm s perceptions of his ability decrease over time if rotating the employee to a different job leads to new uncertainty about his ability this generates a fresh impulse for effort however job rotation also reduces the employee s time horizon thus reducing future rents from reputation this trade off leads to a unique optimum we derive a simple rule of thumb for an optimal rotation time our main results still hold for cases of complete but imperfect information transmission the incentive effects of job rotation also prevail in a setting in which skills are job specific we study several extensions rotations across multiple employees absence of commitment to a rotation time different bargaining positions discounting over time and learning by doing effects

resource allocation for control of infectious diseases in multiple independent populations beyond cost effectiveness analysis traditional cost effectiveness analysis cea assumes that program costs and benefits scale linearly with investment an unrealistic assumption for epidemic control programs this paper combines epidemic modeling with optimization techniques to determine the optimal allocation of a limited resource for epidemic control among multiple noninteracting populations we show that the optimal resource allocation depends on many factors including the size of each population the state of the epidemic in each population before resources are allocated e g infection prevalence and incidence the length of the time horizon and prevention program characteristics we establish conditions that characterize the optimal solution in certain cases

periodic high risk as a cause of fertility decline in a changing rural environment survival strategies in the 1980 1983 south indian drought in the attempt to explain persistent high fertility in much of the third world attention has been drawn both to current returns from child labor and to the mitigation or avoidance of future risks the latter can be subdivided into meeting emergencies while the parental generation is still of working age and providing for old age or even safeguarding the transmission of family property on parental death the problems of old age have recently received most attention and they may well be of paramount importance in many societies yet in a research program that we have conducted in rural south india since 1979 the reasons given for demographic behavior have more frequently emphasized the need to plan strategies to meet periodic crisis than to ensure old age support 2 nevertheless one should not underemphasize the latter merely because the problem is predictable and the solutions understood in the study area for the great majority of the aged the support system still worked well 3 in contrast in our investigations of marriage fertility control and education we repeatedly discovered that a fundamental consideration with regard to parental decisions in these areas was to strengthen the ability of the family to withstand periodic crises 4 by far the most important type of crisis in this dry drought prone area was recurrent famines resulting

managerial incentive problems a dynamic perspective the paper studies how a person s concern for a future career may influence his or her incentives to put in effort or make decisions on the job in the model the person s productive abilities are revealed over time through observations of performance there are no explicit output contingent contracts but since the wage in each period is based on expected output and expected output depends on assessed ability an implicit contract links today s performance to future wages an incentive problem arises from the person s ability and desire to influence the learning process and therefore the wage process by taking unobserved actions that affect today s performance the fundamental incongruity in preferences is between the individual s concern for human capital returns and the firm s concern for financial returns the two need be only weakly related it is shown that career motives can be beneficial as well as detrimental depending on how well the two kinds of capital returns are aligned it is well understood by now that informational externalities may place special demands on the organization of economic exchange simple price mediated markets will frequently fail in the presence of asymmetric information in that case more elaborate contractual arrangements have to be used as substitutes for the price system lately considerable effort has been devoted to the analysis of contracting under incomplete information with the objective to understand the range of economic institutions that emerge in response to the failure of the price system the analysis of moral hazard has played a prominent role in this development moral hazard problems arise when for some reason or another transacting parties cannot contract contingent on the delivery of the good for instance in buying labour services it may be that the amount of labour supplied is not directly observable precluding a simple exchange of wage for labour as a partial remedy to this problem an imperfect mutually observed signal about the supply of labour can be used as a proxy in the contract frequently output is taken as such a proxy the drawback is that output is often influenced by other factors than labour input which induce undesirable risk into the contract one is therefore faced with a tradeoff between allocating risk associated with incomplete observability and providing incentives for a proper supply of labour gaining insight into this tradeoff is important not only for understanding contracting in the small e g managerial incentive schemes but also because it is closely related to the fundamental tension between equity and efficiency in the society as a whole while our understanding of moral hazard has advanced a lot in past years it is clear that much work remains an important question that has received little attention until

motivations to remit evidence from botswana in this article a theory of motivations to send remittances is described and tested with data from botswana altruism is one of the motivations tested and found to be an insufficient explanation for remittances among migrants in botswana a refinement of the model stipulates a modified altruism or enlightened self interest in this model the relationship between the migrant and family is tempered by an implicit understanding of mutual benefit the household strategy may be to encourage some members to migrate as a means of spreading risk and sharing gains the household strategy is similar to an insurance policy where migration is to places where market potential is high the risks incurred might be high the example is given of migration during a drought in botswana migrant remittances were greater in households with more cattle or households with more to lose drought alone was not statistically related to remittances increases in remittances were related to increased levels of education it is suggested that repayment was the motive for parents investment in migrants education migrants gains are identified as the potential for an inheritance the security of channeling investments through a trusted family member and security in having a home to return to it is pointed out that the altruism and family remittances from urban migration were strategies that bridged the simple dynamic of either urban development or rural development impacting on family welfare it is suggested that household models of economy adopt some measure to express the relationship of household wealth to remittances from urban migrants

optimal incentive contracts in the presence of career concerns theory and evidence this paper studies optimal incentive contracts when workers have career concerns concerns about the effects of current performance on future compensation we show that the optimal compensation contract optimizes total incentives the combination of the implicit incentives from career concerns and the explicit incentives from the compensation contract thus the explicit incentives from the optimal compensation contract should be strongest for workers close to retirement because career concerns are weakest for these workers we find empirical support for this prediction in the relation between chief executive compensation and stock market performance

dynamic security design convergence to continuous time and asset pricing implications an entrepreneur with limited liability needs to finance an infinite horizon investment project an agency problem arises because she can divert operating cash flows before reporting them to the financiers we first study the optimal contract in discrete time this contract can be implemented by cash reserves debt and equity the latter is split between the financiers and the entrepreneur and pays dividends when retained earnings reach a threshold to provide appropriate incentives to the entrepreneur the firm is downsized when it runs short of cash we then study the continuous time limit of the model we prove the convergence of the discrete time value functions and optimal contracts our analysis yields rich implications for the dynamics of security prices stock prices follow a diusion reflected at the dividend barrier and absorbed at zero their volatility as well as the leverage ratio of the firm increase after bad performance stock prices and book tomarket ratios are in a non monotonic relationship a more severe agency problem entails lower price earning ratios and firm liquidity and higher default risk

optimal security design and dynamic capital structure in a continuous time agency model we derive the optimal dynamic contract in a continuous time principal agent setting and implement it with a capital structure credit line long term debt and equity over which the agent controls the payout policy while the project s volatility and liquidation cost have little impact on the firm s total debt capacity they increase the use of credit versus debt leverage is nonstationary and declines with past profitability the firm may hold a compensating cash balance while borrowing at a higher rate through the credit line surprisingly the usual conflicts between debt and equity asset substitution strategic default need not arise in this paper we consider a dynamic contracting environment in which a riskneutral agent or entrepreneur with limited resources manages an investment activity while the investment is profitable it is also risky and in the short run it can generate arbitrarily large operating losses the agent will need outside financial support to cover such losses and continue the project the difficulty is that while the probability distribution of the cash flows is publicly known the agent may distort these cash flows by taking a hidden action that leads to a private benefit specifically the agent may i conceal and divert cash flows for his own consumption and or ii stop providing costly effort which would reduce the mean of the cash flows therefore from the perspective of the principal or investors that fund the project there is the concern that a low cash flow realization may be a result of the agent s actions rather than the project s fundamentals to provide the agent with appropriate incentives investors control the agent s wage and may also withdraw their financial support for the project and force its early termination we seek to characterize an optimal contract in this framework and relate it to the firm s choice of capital structure we develop a method to solve for the optimal contract given the incentive constraints in a continuous time setting and study the properties of the credit line debt and equity that implement the contract as in the discrete time model of demarzo and fishman 2003 the continuous time setting offers several peter m demarzo is from stanford university and yuliy sannikov is from u c berkeley we

incentives ceo compensation and shareholder wealth in a dynamic agency model abstract m jensen and k murphy 1990 j polit econ 98 225 264 argue that the observed pay performance sensitivity of ceo compensation is too low to be consistent with formal agency theory this paper uses a dynamic agency model to offer a resolution of the jensen and murphy puzzle we show that the dynamic agency model can predict either a positive or a negative pay performance sensitivity depending on the parameter values of the model and the distribution of the ceos initial expected discounted utilities for a large variety of parameter values and for properly chosen distributions of initial ceo expected discounted utilities our model is capable of generating data where the pay performance sensitivity is significantly positive but very small as in jensen and murphy s data the key to our result is a compensation rigidity that is created endogenously by the optimal dynamic contract journal of economic literatureclassification numbers c63 d82 g30

dynamics of contract design with screening we analyze a novel principal agent problem of moral hazard and adverse selection in continuous time the constant private shock revealed at time 0 when the agent selects the contract has a long term impact on the optimal contract the latter is based not only on the continuation value of the agent who truthfully reports but is also contingent upon the continuation value of the agent who misreports called the temptation value the good agent is retired when the temptation value of the bad agent becomes large because then it is expensive to motivate the good agent the bad agent is retired when the temptation value of the good agent becomes small because then the future payment does not provide sufficient incentives we also compare the efficiency of the shutdown contract and the screening contract and find that the screening contract can bring more profit to the principal only when the agent s reservation utility is sufficiently small this paper was accepted by wei xiong finance

the provision of incentives in firms i ncentives are the essence of economics despite many wide ranging claims about their supposed importance there has been little empirical assessment of incentive provision for workers the purpose of this paper is to critically overview existing work on the provision of incentives since the interests of workers and their employers are not always aligned a large theoretical literature has emphasized how firms design compensation contracts to induce employees to operate in the firm s interest this literature has reached into many areas of compensation and has pointed to a multitude of different mechanisms that can be used to induce workers to act in the interests of their employers these include piece rates options discretionary bonuses promotions profit sharing efficiency wages deferred compensation and so on my objective here is to evaluate this literature in the light of a growing empirical literature on compensation where possible i will address the literature from two perspectives first an underlying assumption of this literature is that individuals respond to contracts that reward performance accordingly i consider whether agents behave in this way and whether these responses are always in the firm s interest second i address whether firms write contracts with these responses in mind in other words do contracts look like the predictions of the theory incentives are provided to workers

short term contracts and long term agency relationships abstract long term contracts are valuable only if optimal contracting requires commitment to a plan today that would not otherwise be adopted tomorrow we show that commitments are unnecessary and hence short term contracts are sufficient if 1 all public information can be used in contracting 2 the agent can acess a bank on equal terms with the principal 3 recontracting takes place with common knowledge about technology and preferences and 4 the frontier of expected utility payoffs generated by the set of incentive compatible contracts is downward sloping at all times

disagreement and learning in a dynamic contracting model we present a dynamic contracting model in which the principal and agent disagree about the resolution of uncertainty and we illustrate the contract design in an application with bayesian learning the disagreement creates gains from trade that the principal realizes by transferring payment to states that the agent considers relatively more likely changing incentives the interaction between incentive provision and learning creates an intertemporal source of disagreement risk that alters optimal risk sharing there is an endogenous regime shift between economies with small and large belief differences and an early shock to beliefs can lead to large persistent differences in variable pay even after beliefs have converged under risk neutrality selling the firm to the agent does not implement the first best because it precludes state contingent trades the author 2009 published by oxford university press on behalf of the society for financial studies all rights reserved for permissions please email journals permissions oxfordjournals org oxford university press

wealth weather risk and the composition and profitability of agricultural investments despite the growing evidence that farmers in low income environments are risk averse there has been little empirical evidence on the importance of risk in shaping the actual allocation of production resources among farmers differentiated by wealth the authors use panel data on investments in rural india to examine how the composition of productive and nonproductive asset holdings varies across farmers with different levels of total wealth and across farmers facing different degrees of weather risk income variability is a prominent feature of the experience of rural agents in low income countries the authors report evidence based on measures of rainfall variability that the agricultural investment portfolio behavior of farmers in such settings reflects risk aversion due evidently to limitations on consumption soothing mechanisms such as crop insurance or credit markets the authors results suggest that uninsured weather risk is a significant cause of lower efficiency and lower average incomes a one standard deviation decrease in weather risk measured by the standard deviation of the timing of the rainy season would raise average profits by up to 35 percent among farmers in the lowest wealth quartile moreover rainfall variability induces a more unequal distribution of average incomes for a given distribution of wealth wealthier farmers are willing to absorb significant risk without giving up profits to reduce production risk smaller farmers have to invest their limited wealth in ways that reduce their exposure to risk at the cost of lower profit rates the authors found that at high levels of rainfall variability differences in rates of profit per unit of agricultural assets were similar across classes of wealth but over the sample range of rainfall variability these rates of profit were always higher for the poorer farmers than for the wealthier ones suggesting that the disadvantages of small farmers in risk diffusion are more than offset by their labor cost advantage

optimal risk sharing with effort and project choice we consider first best risk sharing problems in which the agent can control both the drift effort choice and the volatility of the underlying process project selection in a model of delegated portfolio management it is optimal to compensate the manager with an option type payoff where the functional form of the option is obtained as a solution to an ordinary differential equation in the general case the optimal contract is a fixed point of a functional that connects the agent s and the principal s maximization problems we apply martingale duality methods familiar from optimal consumption investment problems

optimal executive compensation when firm size follows geometric brownian motion this paper studies a continuous time agency model in which the agent controls the drift of the geometric brownian motion firm size the changing firm size generates partial incentives analogous to awarding the agent equity shares according to her continuation payoff when the agent is as patient as investors performance based stock grants implement the optimal contract our model generates a leverage effect on the equity returns and implies that the agency problem is more severe for smaller firms that the empirical evidence shows that grants compensation are largely based on the ceo s historical performance rather than current performance lends support to our model

large risks limited liability and dynamic moral hazard we study a continuous time principal agent model in which a risk neutral agent with limited liability must exert unobservable effort to reduce the likelihood of large but relatively infrequent losses firm size can be decreased at no cost or increased subject to adjustment costs in the optimal contract investment takes place only if a long enough period of time elapses with no losses occurring then if good performance continues the agent is paid as soon as a loss occurs payments to the agent are suspended and so is investment if further losses occur accumulated bad performance leads to downsizing we derive explicit formulae for the dynamics of firm size and its asymptotic growth rate and we provide conditions under which firm size eventually goes to zero or grows without bounds

persistent private information this paper studies the design of optimal contracts in dynamic environments where agents have private information that is persistent in particular i focus on a continuous time version of a benchmark insurance problem where a risk averse agent would like to borrow from a risk neutral lender to stabilize his utility the agent privately observes a persistent state variable typically either income or a taste shock and he makes reports to the principal i give verifiable sufficient conditions showing that incentive compatible contracts can be written recursively conditioning on the report and two additional state variables the agent s promised utility and promised marginal utility of the private state i then study two examples where the optimal contracts can be solved in closed form showing how persistence alters the nature of the contract unlike the previous discrete time models with independent and identically distributed i i d private information the agent s consumption under the contract may grow over time furthermore in my setting the efficiency losses due to private information increase with the persistence of the private information and the distortions vanish as i approximate an i i d environment

women insurance capital and economic development in rural india in this paper longitudinal data from a national probability sample of rural households in india are used to assess how the traditional migration of women across households via marriage by contributing to consumption smoothing augments the returns to women as human capital and how these returns are affected by economic development propelled by agricultural technical progress the estimates confirm earlier findings based on more geographically confined data from india that interhousehold financial transfers play a small but significant role in contributing to consumption smoothing such transfers appear to be more responsive to a households fluctuations in earnings that are loans and this responsiveness is significantly augmented in households with more informal connections to other households that arise due to the marriages of sons who stay in the parental household and daughters who migrate the estimates also suggest that technical change presumably because of its impact on the returns to experience on earnings levels and on risk assessment represents a threat to the traditional household and in particular to marriage based risk pooling the results indicate that the transformation of traditional agriculture through technological change thus extends beyond agricultural practices to the relationships among households and also within households and does not necessarily lead to great equality by sex in the intrahousehold distribution of resources despite the evident normality of equality in intrahousehold resources authors

a theory of financing constraints and firm dynamics there is widespread evidence supporting the conjecture that borrowing constraints have important implications for firm growth and survival in this paper we model a multiperiod borrowing lending relationship with asymmetric information we show that borrowing constraints emerge as a feature of the optimal long term lending contract and that such constraints relax as the value of the borrower s claim to future cash flows increases we also show that the optimal contract has interesting implications for firm dynamics in agreement with the empirical evidence as age and size increase mean and variance of growth decrease and firm survival increases

selfish drug allocation for containing an international influenza pandemic at the onset recent epidemiologic studies have suggested that the prophylactic use of antiviral drugs could slow down the spread of an influenza epidemic because drug stockpiles are presently scattered in different countries the outbreak of an epidemic gives rise to a game in which each country must make decisions about how best to allocate its own stockpile in order to protect its population we develop a two period multivariate reed frost model to represent the spread of the epidemic within and across countries at its onset we consider the first two periods only to mimic the exponential growth of an epidemic in its early stage while keeping the model tractable preliminary numerical studies suggest that insights from the two period model hold in general when considering the entire time horizon our model captures three critical sources of uncertainty the number of initial infections the spread of the disease and drug efficacy we show that for small probabilities of between country infections the underlying game is supermodular nash equilibrium exists and there is a unique one that is pareto optimal among all existing equilibria further we identify sufficient conditions under which the optimal solution of a central planner such as the world health organization constitutes a pareto improvement over the decentralized equilibrium suggesting that countries should agree on an allocation scheme that would benefit everyone by contrast when the central planner s solution does not constitute a pareto improvement minimizing the total number of infected persons globally requires some countries to sacrifice part of their own population which raises intriguing ethical issues

motives for private income transfers private income transfers are becoming increasingly recognized as a key aspect of the u s economy the majority of private income transfers occur inter vivos i e between living persons but very little is known about this type of transfer behavior this paper tests alternative hypotheses concerning motivation for inter vivos transfers two motives are considered altruism and exchange evidence presented here casts doubt on the altruistic model of transfer behavior observed patterns for inter vivos transfers are more consistent with exchange related motives this finding has important implications for the effects of public transfer programs on the distribution of economic well being

intra household resource allocation an inferential approach if household income is pooled and then allocated to maximize welfare then income under the control of mothers and fathers should have the same impact on demand with survey data on family health and nutrition in brazil the equality of parental income effects is rejected unearned income in the hands of a mother has a bigger effect on her family s health than income under the control of a father for child survival probabilities the effect is almost twenty times bigger the common preference or neoclassical model of the household is rejected if unearned income is measured with error and income is pooled then the ratio of maternal to paternal income effects should be the same equality of the ratios cannot be rejected there is also evidence for gender preference mothers prefer to devote resources to improving the nutritional status of their daughters fathers to sons

testing the neoclassical model of family labor supply and fertility the mcelroy horney nash bargaining model of family demand behavior relaxes the restriction that nonearned income of husband and wife has the identical effect on family labor supply and commodity demands this restriction of the neoclassical model offamily behavior is tested for the determination of husband and wife labor supply andfertility based on the 1981 socioeconomic survey of thailand the neoclassical restriction is rejected for female labor supply andfertility another unexplored limitation offamily demand studies due to the sample self selection of intact marriages is empirically treated through alternative estimation strategies in this case a more sharply focused theory of marital behavior is needed to identify family demand models

optimal long term financial contracting we develop an agency model of financial contracting we derive long term debt a line of credit and equity as optimal securities capturing the debt coupon and maturity the interest rate and limits on the credit line inside versus outside equity dividend policy and capital structure dynamics the optimal debt equity ratio is history dependent but debt and credit line terms are independent of the amount financed and in some cases the severity of the agency problem in our model the agent can divert cash flows we also consider settings in which the agent undertakes hidden effort or can control cash flow risk

a game theoretic model of international influenza vaccination coordination influenza vaccination decisions in one country can influence the size of an outbreak in other countries due to interdependent risks from infectious disease transmission this paper examines the inefficiency in the allocation of influenza vaccines that is due to interdependent risk of infection across borders and proposes a contractual mechanism to reduce such inefficiencies the proposed contract is based on an epidemic model that accounts for intranational transmission and that from a source country where the dominant strain emerges the contract reduces the overall financial burden of infection globally and improves the total number infected by seasonal influenza outbreaks this is consistent with recent recommendations to improve pandemic preparedness numerical experiments demonstrate that the benefits of the contract can prevent millions of influenza cases and save tens of millions of dollars and that the benefits are even greater when cross border transmission is higher even if cross border transm

dynamic insurance with private information and balanced budgets this paper studies a dynamic insurance problem with bilateral asymmetric information and balanced budgets there are two infinitely lived agents in our model both risk averse and each has an i i d random endowment stream which is unobservable to the other in each period each agent must have a non negative consumption and together they must consume the entire aggregate endowment dynamic incentive compatibility in the nash sense is defined we give sufficient and necessary conditions for the existence of a constrained efficient contract we show that a constrained efficient contract can be characterized in a bellman equation we demonstrate that the long run distribution of expected utilities of each agent is not degenerate we also develop an algorithm for computing the efficient contract and in a numerical example we find that the consumption processes of the agents form stationary markov chains

aggregation and linearity in the provision of intertemporal incentives we consider the problem of providing incentives over time for an agent with constant absolute risk aversion the optimal compensation scheme is found to be a linear function of a vector of n accounts which count the number of times that each of the n kinds of observable events occurs the number n is independent of the number of time periods so the accounts may entail substantial aggregation in a continuous time version of the problem the agent controls the drift rate of a vector of accounts that is subject to frequent small random fluctuations the solution is as if the problem were the static one in which the agent controls only the mean of a multivariate normal distribution and the principal is constrained to use a linear compensation rule if the principal can observe only coarser linear aggregates such as revenues costs or profits the optimal compensation scheme is then a linear function of those aggregates the combination of exponential utility normal distributions and linear compensation schemes makes computations and comparative statics easy to do as we illustrate we interpret our linearity results as deriving in part from the richness of the agent s strategy space which makes it possible for the agent to undermine and exploit complicated nonlinear functions of the accounting aggregates

when to fire a ceo optimal termination in dynamic contracts abstract existing models of dynamic contracts impose that it is both optimal and feasible for the contracting parties to bind themselves together forever this paper introduces optimal termination in dynamic contracts we modify the standard dynamic agency model to include an external labor market which upon the dissolution of the contract allows the firm to return to the labor market to seek a new match under this simple closure of the model two types of terminations emerge under one scenario the agent is fired after a bad output and he becomes too poor to be punished effectively under the second scenario the agent is forced out after a good output and he becomes too expensive to motivate

a continuous time version of the principal agent problem this paper describes a new continuous time principal agent model in which the output is a diffusion process with drift determined by the agent s unobserved effort the risk averse agent receives consumption continuously the optimal contract based on the agent s continuation value as a state variable is computed by a new method using a differential equation during employment the output path stochastically drives the agent s continuation value until it reaches a point that triggers retirement quitting replacement or promotion the paper explores how the dynamics of the agent s wages and effort as well as the optimal mix of short term and long term incentives depend on the contractual environment the understanding of dynamic incentives is central in economics how do companies motivate their workers through piece rates bonuses and promotions how is income inequality connected with productivity investment and economic growth how do financial contracts and capital structure give incentives to the managers of a corporation the methods and results of this paper provide important insights to many such questions this paper introduces a continuous time principal agent model that focuses on the dynamic properties of optimal incentive provision we identify factors that make the agent s wages increase or decrease over time we examine the degree to which current and future outcomes motivate the agent we provide conditions under which the agent eventually reaches retirement in the optimal contract we also investigate how the costs of creating incentives and the dynamic properties of the optimal contract depend on the contractual environment the agent s outside options the difficulty of replacing the agent and the opportunities for promotion our new dynamic insights are possible due to the technical advantages of continuous time methods over the traditional discrete time ones continuous time leads to a much simpler computational procedure to find the optimal contract by solving an ordinary differential equation this equation highlights the factors that determine optimal consumption and effort the dynamics of the agent s career path are naturally described by the drift and volatility of the agent s pay offs the geometry of solutions to the differential equation allows for easy comparisons to see how the agent s wages effort and incentives depend on the contractual environment finally continuous time highlights many essential features of the optimal contract including the agent s eventual retirement in our benchmark model a risk averse agent is tied to a risk neutral principal forever after employment starts the agent influences output by his continuous unobservable effort input the principal sees only the output a brownian motion with a drift that depends on the agent s effort the agent dislikes effort and enjoys consumption we assume that the agent s utility function has the income effect that is as the agent s income increases it becomes costlier to compensate him for the effort also we assume that the agent s utility of consumption is bounded from below

the theory of moral hazard and unobservable behaviour part i principal agent models are studied in which outcomes conditional on the agent s action are uncertain and the agent s behaviour therefore unobservable for a model with bounded agent s utility conditions are given under which the first best equilibrium can be approximated arbitrarily closely by contracts relating payment to observable outcomes for general models it is shown that the solution may not always be obtained by using the agent s first order conditions as constraint general conditions of lagrangean type are given for problems in which contracts are finite dimensional 1 the moral hazard situation

behavioural and material determinants of production relations in agriculture in this essay we develop a framework for analysing the major institutions governing the production and exchange of output and the primary factors of production in rural areas the analysis incorporates general considerations of risk and information constraints jointly with the principal material attributes of agriculture and of agricultural production factors the framework is used to analyse barriers to the existence of the major intertemporal and factor markets it is applied specifically to land scarce environments for which it provides an internally consistent explanation for many of the well documented institutional features of such settings in addition the analysis provides new implications for among other phenomena the inter relationships among ownership holdings operational scale family size and factor productivity for the scarcity of animal rental markets and use of animals as collateral for the renting out of land by small landowners and for the existence of plantations for certain crops

rationalizability learning and equilibrium in games with strategic complementarities we study a rich class of noncooperative games that includes models of oligopoly competition macroeconomic coordination failures arms races bank runs technology adoption and diffusion r d competition pretrial bargaining coordination in teams and many others for all these games the sets of pure strategy nash equilibria correlated equilibria and rationalizable strategies have identical bounds also for a class of models of dynamic adaptive choice behavior that encompasses both best response dynamics and bayesian learning the players choices lie eventually within the same bounds these bounds are shown to vary monotonically with certain exogenous parameters we study the class of noncooperative supermodular games introduced by topkis 1979 and further analyzed by vives 1985 1989 who also pointed out the importance of these games in industrial economics supermodular games are games in which each player s strategy set is partially ordered the marginal returns to increasing one s strategy rise with increases in the competitors strategies so that the game exhibits strategic complementarity 2 and if a player s strategies are multidimensional marginal returns to any one com ponent of the player s strategy rise with increases in the other components this class turns out to encompass many of the most important economic applications of noncooperative game theory in macroeconomics diamond s 1982 search model and bryant s 1983 1984 rational expectations models can be represented as supermodular games in each of these models more activity by some members of the economy raises the returns to increased levels of activity by others in oligopoly theory some models of bertrand oligopoly with differentiated products qualify as supermodu lar games in these games when a firm s competitors raise their prices the marginal profitability of the firm s own price increase rises a similar structure is present in games of new technology adoption such as those of dybvig and spatt 1983 farrell and saloner 1986 and katz and shapiro 1986 when more users hook into a communication system or more manufacturers adopt an interface standard the marginal return to others of doing the same often rises similarly in some specifications of the bank runs model introduced by diamond and dybvig 1983 when more depositors withdraw their funds from a bank it is more worthwhile for other depositors to do the same in the warrant exercise

on repeated moral hazard with discounting in this paper we analyze optimal contracts in an infinitely repeated agency model in which both the principal and agent discount the future we show that there is a stationary representation of the optimal contract when the agent s conditional discounted expected utility is used as a state variable this representation reduces the multi period problem to a static variational problem which can be analyzed using standard variational techniques this reduction is used to obtain several properties of the contract

consumption smoothing migration and marriage evidence from rural india a significant proportion of migration in low income countries particularly in rural areas is composed of moves by women for the purpose of marriage we seek to explain these mobility patterns by examining marital arrangements among indian households in particular we hypothesize that the marriage of daughters to locationally distant dispersed yet kinship related households is a manifestation of implicit interhousehold contractual arrangements aimed at mitigating income risks and facilitating consumption smoothing in an environment characterized by information costs and spatially covariant risks analysis of longitudinal south indian village data lends support to the hypothesis marriage cum migration contributes significantly to a reduction in the variability of household food consumption farm households afflicted with more variable profits tend to engage in longer distance marriage cum migration the hypothesized and observed marriage cum migration patterns are in dissonance with standard models of marriage or migration that are concerned primarily with search costs and static income gains

an exogeneity test for a simultaneous equation tobit model with an application to labor supply a test of weak exogeneity in the simultaneous equation tobit model is proposed and illustrated using a female labour supply model estimated using cross section data the test statistic can be simply output from any standard tobit maximum likelihood package and is asymptotically efficient the procedure provides consistent estimators for the simultaneous tobit model whose asymptotic covariance matrix is a simple extension of the usual tobit formula we also provide the lagrange multiplier test of weak exogeneity this abstract was borrowed from another version of this item

is the extended family altruistically linked direct tests using micro data this paper uses panel study of income dynamics data on parents and their adult children to test the standard altruism model this model predicts that within the extended family the distribution of consumption is independent of the distribution of resources the authors findings strongly reject this prediction copyright 1992 by american economic association