self enforcing wage contracts we examine long term wage contracts between a risk neutral firm and a risk averse worker when both can costlessly renege and buy or sell labour at a random spot market wage a self enforcing contract is one in which neither party ever has an incentive to renege in the optimum self enforcing contract wages are sticky they are less variable than spot market wages and positively serially correlated they are updated by a simple rule around each spot wage is a time invariant interval and the contract wage changes each period by the smallest amount necessary to bring it into the current interval

agent compensation and the limits of bonding agents in positions of trust may engage in malfeasance which is difficult to detect this paper develops a model in which employers seek to control malfeasance by paying wages contingent on imperfect monitoring and agents may be required to pay entry fees or post bonds we conclude that entry fees which exceed agents assets are ineffective in controlling malfeasance as a result conditions exist in which it is optimal to pay agents more than their opportunity cost such conditions lead to an excess supply of applicants and allow employers to engage in discrimination at zero cost to themselves

implicit contracts moral hazard and unemployment this paper considers a firm whose marginal revenue product of labor is a random variable we derive the form of an optimal long term contract between workers and the firm under the assumption that labor s marginal product is observed by the firm but not by the workers we show that the existence of asymmetric information causes unemployment to be greater than in a situation where information about labor s marginal product is public or where employment is determined in spot markets in particular unemployment can occur when the marginal product of labor exceeds the reservation wage

a theory of contracts with limited enforcement we present a theory of contracts under costly enforcement in the context of a dynamic relationship between an uninformed buyer and a seller who is privately informed on his persistent cost at the outset public enforcement relies on remedies for breach private enforcement comes from severing relationships we first characterize aggregate enforcement constraints ensuring that trading partners do not breach contracts unduly whether a long term contract is enforceable does not depend on the distribution of penalties for breach between the buyer and the seller while under complete information the optimal contract would remain stationary non stationarity might arise under asymmetric information enforcement constraints are time dependent and easier to satisfy as time passes indeed a high cost seller may be tempted to trade high volumes at high prices at the beginning of the relationship before breaching the contract later on yet such take the money and run strategy becomes less attractive as time passes and can be prevented with backloaded payments the optimal contract thus goes through two different phases first quantities and prices increase at the inception of the relationship later on the contract looks more stationary the public and private sides of enforcement plays different roles in determining the length of the earlier phase of contracting long run screening distortions encapsulate the quality of enforcement offering de facto a link between the quality of the legal system and contractual performances

reputation and hierarchy in dynamic models of employment the employment relationship with employees ability and their actions both private information thus combining adverse selection with moral hazard is modeled as a repeated game with self enforcing contracts being perfect bayesian nash equilibria under termination contracts the equilibrium contract structure consists of a hierarchy of ranks finite in number even though ability is continuous reputation acts as an effective device for worker discipline without the need for involuntary unemployment selection by bonding is not in general incentive compatible but selection by promotion of employees through the ranks is many other features correspond to observed employment structures

nonstationary relational contracts with adverse selection i develop a model of nonstationary relational contracts in order to study internal wage dynamics workers are heterogeneous and each worker s ability is both private information and fixed for all time learning therefore occurs within employment relationships the inferences however are confounded by moral hazard incentive provision is restricted by an inability to commit to long term contracts relational contracts which must be self enforcing must therefore be used the wage dynamics in the optimal contract which are pinned down by the tension between incentive provision and contractual enforcement are intimately related to the learning effect

is there an energy efficiency gap many analysts have argued that energy efficiency investments offer an enormous win win opportunity to both reduce negative externalities and save money this overview paper presents a simple model of investment in energy using capital stock with two types of market failures first uninternalized externalities from energy consumption and second forces such as imperfect information that cause consumers and firms not to exploit privately profitable energy efficiency investments the model clarifies that only if the second type of market failure cannot be addressed directly through mechanisms such as information provision energy efficiency subsidies and standards may be merited this chapter therefore reviews the empirical work on the magnitude of profitable unexploited energy efficiency investments a literature which frequently does not meet modern standards for credibly estimating the net present value of energy cost savings and often leaves other benefits and costs unmeasured these problems notwithstanding recent empirical work in a variety of contexts implies that on average the magnitude of profitable unexploited investment opportunities is much smaller than engineering accounting studies suggest finally there is tremendous opportunity and need for policy relevant research that utilizes randomized controlled trials and quasi experimental techniques to estimate the returns to energy efficiency investments and the welfare effects of energy efficiency programs

on the sign of the optimum marginal income tax this paper studies a central aspect of optimal income taxation as modelled in mirrlees original paper on the topic identical leisure consumption preferences qualitatively homogeneous skills in production namely whether given concave utilitarianism alone the optimal marginal income tax will be non negative a well known positive answer to this question in weak inequality form was given in the said paper which however we show requires additive separability of individual utility in the ordinal and cardinal senses our main result here is to derive the required strict positivity of the marginal tax under weak conditions slightly wider than noninferiority of consumption and leisure with preferences otherwise arbitrary

energy conservation investment do consumers discount the future correctly we argue that the apparently high discount rates attributed to investors making energy conservation investments are not irrational or the result of some market failure rather they may result from an investor recognizing that many conservation investments entail substantial sunk costs in the presence of these costs and uncertainty over future conservation savings consumers should use a higher hurdle rate for investment than if there were no uncertainty simulations suggest that the hurdle rate should be about four times greater than the standard rate an implication of our model is that tax subsidies for the purchase of conservation capital are likely to be ineffective we discuss alternative policy approaches which are more likely to increase energy efficient investment namely mandatory efficiency standards and energy taxes

an upper bound on optimal income taxes abstract the message of this paper is very simple a certain range of tax rates determined by supply and demand functions only can be disregarded in linear optimal taxation approaches before any interpersonal utility comparisons are made in particular no marginal tax rate above a certain level can be optimal with respect to pareto inclusive social orderings it is shown that is in general not larger than and sometimes strictly less than the minimal tax rate at which tax revenues are maximal conditions under which is the least upper bound are given and a comparison is made with tax rates obtained by the rawlsian maximin principle

collusion and price rigidity we consider an in nitely repeated bertrand game in which prices are publicly observed and each rm receives a privately observed i i d cost shock in each period we focus on symmetric perfect public equilibria sppe wherein any punishments are borne equally by all rms we identify a tradeoff that is associated with collusive pricing schemes in which the price to be charged by each rm is strictly increasing in its cost level such fully sorting schemes offer efficiency bene ts as they ensure that the lowest cost rm makes the current sale but they also imply an informational cost distorted pricing and or equilibrium path price wars since a higher cost rm must be deterred from mimicking a lower cost rm by charging a lower price a rigid pricing scheme where a rm s collusive price is independent of its current cost position sacri ces efficiency bene ts but also diminishes the informational cost for a wide range of settings the optimal symmetric collusive scheme requires i the absence of equilibrium path price wars and ii a rigid price if rms are sufficiently impatient however the rigid pricing scheme cannot be enforced and the collusive price of lower cost rms may be distorted downward in order to diminish the incentive to cheat when the model is modi ed to include i i d public demand shocks the downward pricing distortion that accompanies a rm s lower cost realization may occur only when current demand is high

the existence of self enforcing implicit contracts implicit contracts are nontrivial nash equilibria to the post hiring trading game between a worker and the employer these are supported by intrafirm rather than labor market reputations the existence of an implicit contract that supports efficient trade is proved in a simple model

promoting clean energy investment an empirical analysis of property assessed clean energy abstract from 2008 to 2010 a handful of property assessed clean energy pace programs offered property secured loans to homeowners for residential clean energy investments this analysis uses difference in differences models and synthetic counterfactual models to estimate the effect of three california pace programs on residential photovoltaic installations while pace programs do not offer superior terms to other solar financing options we find that pace financing increases solar installations by approximately 3 8 watts per owner occupied household per quarter a 108 increase over the mean watts per owner occupied household

relational incentive contracts standard incentive theory models provide a rich framework for studying informational problems but assume that contracts can be perfectly enforced this paper studies the design of self enforced relational contracts i show that optimal contracts often can take a simple stationary form but that self enforcement restricts promised compensation and affects incentive provision with hidden information it may be optimal for an agent to supply the same inefficient effort regardless of cost conditions with moral hazard optimal contracts involve just two levels of compensation this is true even if performance measures are subjective in which case optimal contracts terminate following poor performance jel c73 d82 l14

renegotiation proof relational contracts abstract we study infinitely repeated two player games with perfect monitoring and assume that each period consists of two stages one in which the players simultaneously choose an action and one in which they can transfer money to each other in the first part of the paper we derive simple conditions that allow a constructive characterization of all pareto optimal subgame perfect payoffs for all discount factors in the second part we examine different concepts of renegotiation proofness and extend the characterization to renegotiation proof payoffs

the dynamics of incentive contracts the paper studies a simple two period principal agent model in which the principal updates the incentive scheme after observing the agent s first period performance the agent has superior information about his ability the principal offers a first period incentive scheme and observes some measure of the agent s first period performance cost or profit which depends on the agent s ability and unobservable first period effort the relationship is entirely run by short term contracts in the second period the principal updates the incentive scheme and the agent is free to accept the new incentive scheme or to quit the strategies are required to be perfect and updating of the principal s beliefs about the agent s ability follows bayes rule the central theme of the paper is that the ratchet effect leads to much pooling in the first period first for any first period incentive scheme there exists no separating equilibrium second when the uncertainty about the agent s ability is small the optimal scheme must involve a large amount of pooling the paper also gives necessary and sufficient conditions for the existence of partition equilibria and looks at the effect of cost uncertainty

unemployment and the efficiency wage hypothesis there has been much recent discussion of the reasons why prices in certain markets and in particular in labour markets may not adjust to eliminate excess supply the absence of speedy adjustment of prices is an essential feature of the recent models of disequilibrium macroeconomics but for the most part no explanation for this absence is provided from within those models one explanation that has been around in the literature for some time and has been receiving increasing attention recently is the efficiency wage hypothesis initially applied to developing economies see leibenstein i957 it has more recently been adapted to developed economies by weiss i 980 and used in the context of a keynesian macroeconomic model by hart i 980 similar concepts have been applied to the credit market by stiglitz and weiss i98i the purpose of the present paper is to explore further the conditions under which the notion of an efficiency wage is applicable and can provide an explanation of involuntary unemployment the essential feature of the efficiency wage hypothesis is that the productivity of a firm s employees increases as their wage is increased at least over an economically relevant part of its range if the wage paid by the firm is denoted by w the number of employees by l and the productivity of each employee by p w where p w o then the effective labour force of the firm e can be represented by

subjective evaluations with performance feedback this paper models two key roles of subjective performance evaluations their incentive role and their feedback role the paper shows that the feedback role makes subjective pay feasible even without repeated interaction as long as there exists some veri able measure of performance it also shows that while subjective pay is helpful it cannot achieve full e ciency however fully e cient incentives are achievable if the rm can commit to a forced distribution of evaluations and employs a continuum of workers with a small number of workers a forced distribution is valuable only if the veri able measure is poor

the private and public economics of renewable electricity generation generating electricity from renewable sources is more expensive than conventional approaches but reduces pollution externalities analyzing the tradeoff is much more challenging than often presumed because the value of electricity is extremely dependent on the time and location at which it is produced which is not very controllable with some renewables such as wind and solar likewise the pollution benefits from renewable generation depend on what type of generation it displaces which also depends on time and location without incorporating these factors cost benefit analyses of alternatives are likely to be misleading other common arguments for subsidizing renewable power green jobs energy security and driving down fossil energy prices are unlikely to substantially alter the analysis the role of intellectual property spillovers is a strong argument for subsidizing energy science research but less persuasive as an enhancement to the value of installing current renewable energy technologies

repeated bargaining with persistent private information the paper analyses repeated contract negotiations involving the same buyer and seller where the contracts are linked because the buyer has persistent but not fully permanent private information the size of the surplus being divided is specified as a two state markov chain with transitions that are synchronized with contract negotiation dates equilibrium involves information cycles triggered by the success or failure of aggressive demands made by the seller because there is persistence in the markov chain generating the surplus a successful demand induces the seller to make another aggressive demand in the next negotiation since the buyer s acceptance reveals that the current surplus is large rejection of an aggressive demand on the other hand leads the seller to be pessimistic about the size of the surplus in the next contract so the seller makes a soft offer that is sure to be accepted then after several such offers have been accepted the seller is optimistic enough to again make an aggressive demand creating an information cycle an interesting feature of this cycle is that the soft price is not constant but declines as the cycle continues so as to offset the buyer s option value of re starting the cycle when the current state is bad an explicit mapping is given for the relationship between the basic parameters and the equilibrium prices and quantities in particular there is a closed form solution for the threshold belief that makes the seller indifferent between hard and soft offers

understanding the solar home price premium electricity generation and green social status this study uses a large sample of homes in the san diego area and sacramento california area to provide some of the first capitalization estimates of the sales value of homes with solar panels relative to comparable homes without solar panels although the residential solar home market continues to grow there is little direct evidence on the market capitalization effect using both hedonics and a repeat sales index approach we find that solar panels are capitalized at roughly a 3 5 premium this premium is larger in communities with a greater share of college graduates and of registered prius hybrid vehicles

how high are option values in energy efficiency investments high implicit discount rates in consumers energy efficiency investments have long been a source of controversy in several recent papers hassett and metcalf argue that the uncertainty and irreversibility attendant to such investments and the resulting option value account for this anomalously high implicit discounting using their model and data we show that to the contrary their analysis falls well short of providing an explanation of this pattern

optimal contracting with subjective evaluation this paper extends the standard principal agent model to allow for subjective evaluation the optimal contract results in more compressed pay relative to the case with verifiable performance measures moreover discrimination against an individual implies lower pay and performance suggesting that the extent of discrimination as measured after controlling for performance may underestimate the level of true discrimination finally the optimal contract entails the use of bonus pay rather than the threat of dismissal hence neither efficiency wages nor the right to dismiss an employee are necessary ingredients for an optimal incentive contract

long term contracting with markovian consumers to study how a firm can capitalize on a long term customer relationship we characterize the optimal contract between a monopolist and a consumer whose preferences follow a markov process the optimal contract is nonstationary and has infinite memory but is described by a simple state variable under general conditions supply converges to the efficient level for any degree of persistence of the types and along any history though convergence is history dependent in contrast as with constant types the optimal contract can be renegotiation proof even with highly persistent types these properties provide insights into the optimal ownership structure of the production technology

national income and marginal taxes a simple model of linear taxation is used to single out different types of tax equilibria sufficient conditions for national income to be a decreasing function of the marginal tax rate are given for each case equilibria are classified according to whether i aggregate labor supply is forward bending ii aggregate labor supply is backward bending iii the equilibrium is a welfare maximum and iv the equilibrium is a political equilibrium

motivation and markets many workers receive pay based on subjectively assessed performance yet the shirking model of efficiency wages excludes it this paper incorporates such pay with the following results performance pay is more efficient than efficiency wages when the costs of having a job vacant are low and qualified workers in short supply more capital intensive industries pay more than less capital intensive industries as observed in studies of interindustry wages differentials sustaining an efficient outcome requires a social convention similar to the notion of a fair wage the model also makes predictions about the relationship between turnover wages growth and unemployment copyright 1998 by american economic association

collusion with persistent cost shocks we consider a dynamic bertrand game in which prices are publicly observed and each firm receives a privately observed cost shock in each period although cost shocks are independent across firms within a firm costs follow a first order markov process we analyze the set of collusive equilibria available to firms emphasizing the best collusive scheme for the firms at the start of the game in general there is a trade off between productive efficiency whereby the low cost firm serves the market in a given period and high prices we show that when costs are perfectly correlated over time within a firm if the distribution of costs is log concave and firms are sufficiently patient then the optimal collusive scheme entails price rigidity firms set the same price and share the market equally regardless of their respective costs when serial correlation of costs is imperfect partial productive efficiency is optimal for the case of two cost types first best collusion is possible if the firms are patient relative to the persistence of cost shocks but not otherwise we present numerical examples of first best collusive schemes

evaluating energy efficiency investments accounting for risk in the discounting process a prominent feature of the literature regarding the economics of energy conservation is the debate over the existence and nature of the so called efficiency gap a frequent subject of debate is whether consumers apply a reasonable discount rate when evaluating the future benefits of energy efficiency measures a key aspect of the discounting debate is the manner in which consumer attitudes toward risk are accounted for when discounting this paper suggests that an appropriate approach to incorporating risk into the evaluation of energy efficiency projects would yield higher net benefits to such projects than standard evaluation techniques we argue that analysing the purchase of fuel saving capital as though it were a standard investment in a physical asset obscures an important feature of the decision rather than deciding whether or not to invest in an asset with an uncertain future benefit stream the consumer is actually choosing between two future cost streams each of which is uncertain this seemingly minor change in perspective has important implications for how the risk associated with fuel saving capital should be brought into the discounting process an example based on lighting technologies is used to illustrate the principles discussed

relational incentive contracts with persistent private information this paper investigates relational incentive contracts with continuous privately observed agent types that are persistent over time with fixed agent types full separation is not possible when continuation equilibrium payoffs following revelation are on the pareto frontier of attainable payoffs this result is related to the ratchet effect in that 1 a type imitating a less productive type receives an information rent and 2 with full separation one imitating a more productive type receives the same future payoff as that more productive type however the reason for 2 is fundamentally different than with the ratchet effect it arises from the dynamic enforcement requirement in relational contracts not from the principal having all the bargaining power and applies whatever the distribution between principal and agent of the future gains from the relationship i e whatever the point on the pareto frontier this result extends to sufficiently persistent types under certain conditions

the energy efficiency gap what does it mean abstract as renewed attention has been given by policy makers to energy conservation issues it has frequently been asserted that an energy efficiency gap exists between actual and optimal energy use the critical questions is how to define the optimal level of energy efficiency this paper seeks to disentangle some confusing strands of argument that are frequently brought to bear on this question by identifying the major conceptual issues that determine the set of feasible answers we identify five separate and distinct notions of optimality the economists economic potential the technologists economic potential hypothetical potential the narrow social optimum and the true social optimum each of these has associated with it a corresponding definition of the energy efficiency gap our analysis demonstrates that necessary preconditions for identifying the right measure of the energy efficiency gap include understanding and disentangling market failure and non market failure explanations for the gradual diffusion of energy efficient technologies

implicit contracts incentive compatibility and involuntary unemployment this paper considers the enforceability of employment contracts when employees performance cannot be verified in court so that piece rate contracts are not legally enforceable part i shows that there exists a variety of self enforcing implicit contracts modelled as perfect equilibria in a repeated game and characterizes all the wage and performance outcomes that can be implemented implementation requires a strictly positive surplus from employment the form of the contract depending on how this surplus is divided between firm and employee piece rate contracts and contracts with an informally agreed bonus can be made self enforcing but the use of severance pay and bonding does not extend the set of implementable allocations the resulting contracts resemble actual labor contracts more than do the contracts in standard principal agent models part ii analyses market equilibrium with these contracts also modelled as perfect equilibria in a repeated game and shows that many such equilibria exist unfilled vacancies and unemployed workers can co exist despite the existence of contracts that are potentially mutually beneficial for those jobs that are filled any division of the potential surplus is possible so that the market can have at the same time involuntary unemployment and vacancies that are unfilled despite filled jobs earning positive profits as a criterion for selecting equilibria a notion of renegotiation proofness is applied then either all workers are employed or all jobs filled but any division of the potential surplus is still possible the paper explores what further restrictions on beliefs give rise to a walrasian outcome in which all the potential surplus goes to the short side of the market and to an efficiency wage type outcome in which the potential surplus goes to the long side

do wage cuts damage work morale evidence from a natural field experiment employment contracts are often incomplete leaving many responsibilities subject to workers discretion high work morale is therefore essential for sustaining voluntary cooperation and high productivity in firms we conducted a field experiment to test whether workers reciprocate wage cuts and raises with low or high work productivity wage cuts had a detrimental and persistent impact on productivity reducing average output by more than 20 percent an equivalent wage increase however did not result in any productivity gains the results from an additional control experiment with high monetary performance incentives demonstrate that workers could still produce substantially more output leaving enough room for positive reactions altogether these results provide evidence consistent with a model of reciprocity as opposed to inequality aversion

progressive taxation redistribution and labor supply the analysis of the effect of progression on labor supply is extended to a model with many consumers the condition for progression to increase labor supply given constant aggregate tax revenue is derived and shown to depend on the income effects resulting from redistribution it is then shown that the optimal linear income tax schedule involves a degree of progression which on the margin does reduce labor supply