The role of boundary solutions in principal-agent problems of the Holmström-Milgrom type

The paper extends the Holmström-Milgrom [B. Holmström, P. Milgrom, Aggregation and linearity in the provision of intertemporal incentives, Econometrica 55 (1987) 303-328] analysis of intertemporal incentive provision to allow for the implementation of actions on the boundary of the feasible set. Boundary actions provide the principal with some freedom in choosing incentive schemes. This can be used to reduce premia. The paper characterizes optimal incentive schemes for the continuous-time Brownian-motion model and its discrete-time approximations. Linearity of incentive schemes in “accounts” is confirmed. However, for models with effort costs depending only on mean returns, the availability of boundary actions destroys the linearity of optimal incentive schemes in profits.     

Mechanism design with side payments: Individual rationality and iterative dominance

We investigate the collective decision with incomplete information and side payments. We show that a direct mechanism associated with the social choice function that satisfies budget balancing, incentive compatibility, and interim individual rationality exists for generic prior distributions. We consider the possibility that a risk-averse principal extracts full surplus in agency problems with adverse selection. With regard to generic prior distributions, we show that there exists a modified direct mechanism associated with the virtual social choice function, which satisfies budget balancing and interim individual rationality, such that truth telling is the unique three times iteratively undominated message rule profile.     

On the design of incentive schemes under moral hazard and adverse selection

This paper characterizes a class of optimal incentive schemes in a simple principal–agent model which allows for moral hazard and adverse selection. We show that incentive compatible allocation can always be (approximately) implemented through a menu of quadratic incentive schemes. It is also proved that the set of incentive compatible allocations is independent of the distribution of the additive uncertainty which affects the outcome. Informational requirements and economic interpretation of quadratic and linear schemes are discussed.     

Robustness of simple menus of contracts in cost-based procurement

We consider a model of cost-based procurement in which the principal faces Knightian uncertainty about the agent's preferences for cost reduction. We show that a particularly simple incentive scheme—a menu comprising a fixed-price contract and a cost-reimbursement contract—minimizes the maximum expected payment, where this maximum is taken over the set of possible agent preferences. For some parameters of the problem, a range of alternative incentive schemes also satisfy this criterion. We show that the simple incentive scheme is not weakly dominated by any of the alternatives: there does not exist an alternative mechanism for which the expected payment is no higher for all realizations of the agent's preferences and strictly lower for some realization.     

The efficiency of bonus-or-terminate incentive schemes under subjective evaluations

We study a repeated principal–agent model with subjective evaluations. We construct simple bonus-or-terminate incentive schemes. In these schemes, the principal evaluates the agent every T periods. The principal pays a bonus and asks the agent to work for T more periods if the evaluation is positive. The relationship is terminated if the evaluation is negative. The inefficiencies in these schemes vanish as the agent can be more frequently evaluated. This result holds generally under objective or subjective evaluations.     

Hidden Gaming in Hierarchies: Facts and Models*

We study a three-level hierarchy in which the role of the supervisor is to transmit to the entrepreneur (the principal) information about workers' individual performances We are concerned with a form of discretion which arises from monitoring personalized incentive schemes through a supervisor, that we call hidden gaming. The supervisor can use his discretionary power to organize games unobserved by the principal which enable him to extract benefits from workers. This extortion activity decreases the level of efficiency of the organization and it is shown to subsist partly even when the principal monitors the supervisor with the best incentive scheme based on his own information. In some circumstances non-personalized incentive schemes are optimal because of hidden gaming. The paper concludes with a discussion of possible motivations for public intervention within organizations to eliminate extortions due to hidden gaming.     

GRANTING AN EXIT OPTION TO CONDUCT AN AUDIT

We study a principal–agent relationship with auditing in which information from an audit is ‘soft’– by conducting an audit, the principal observes the agent's private information, but cannot obtain verifiable evidence on the information. Moreover, the principal's auditing effort is unverifiable in our model. Therefore, besides the agent's misreporting incentive, there is the principal's incentive to accuse the truthful agent even without auditing. If the principal's auditing effort is verifiable, granting no exit option to the agent is optimal although the principal can still accuse a truthful agent after the audit. We show that when the principal's auditing effort is unverifiable, granting an exit option to the agent and auditing are complementary. Without granting an exit option to the agent, no auditing is optimal, and the principal grants an exit option to conduct a sincere audit, which in turn mitigates the agent's misreporting incentive. Our analysis also reveals that, when the cost of auditing is sufficiently large, the principal conducts more sincere audits with a smaller amount of penalty.     

The principal-agent problem with a satisficing agent

The principal-agent problem is formulated with an expected utility maximizing principal and a satisficing agent. If the outcome set is finite and if there is only one aspiration level, then there are always optimal incentive schemes which can be represented by vectors having only the unique aspiration level and zero as coordinate values. The relation between the monotone likelihood ratio property and the monotonicity of optimal incentive schemes is investigated. This is done not only in the above model, but also in a continuous model with outcomes in an interval, which is much more interesting.     

Collusion and the organization of delegated expertise

We study the optimal design of incentive contracts for experts in different collusion environments, and explore implications for the organization of delegated expertise. We consider a principal relying on experts to gather and report two signals about a project's value. The principal can have a single expert gather both signals or two experts gather one signal each. We show that absent collusion, the multiexpert organization dominates the single expert organization. However, this ranking is reversed when the experts can collude among themselves (horizontal collusion) and with the principal (vertical collusion).     

SUBJECTIVE EVALUATION IN AGENCY CONTRACTS*

We study how a principal uses her subjective evaluation of the agent's performance in an incentive contract. It is shown that the subjective evaluation can be used either 1) when there is no other information about the agent's performance and the principal is able to discard money, or 2) when the principal chooses between wage payment based on subjective evaluation by foregoing objective evaluation, and the one based only on the objective evaluation and when the subjective evaluation is sufficiently accurate. The principal pays a high fixed wage when her rating at the subjective evaluation is above a certain level. On the other hand, when it is below that level, she either pays a low fixed wage or obtains objective evaluation and pays based on its outcome.     

Contracting with imperfect commitment and noisy communication

This paper provides new analytical tools for studying principal-agent problems with adverse selection and limited commitment. By allowing the principal to use general communication devices we overcome the literature's common, but overly restrictive focus on one-shot, direct communication. In addition, general communication devices solve two fundamental problems of contracting with imperfect commitment: First, they allow us to identify the ‘local downward’ incentive constraints as the relevant ones if the agent's preferences satisfy a single-crossing property. Second, we show how one may restrict the cardinality of the message spaces of the communication device. An example illustrates our arguments and the suboptimality of one-shot, direct communication.     

A contest with the taxman - the impact of tax rates on tax evasion and wastefully invested resources

We develop a moral hazard model with auditing where both the principal and the agent can influence the probability that the true state of nature is verified. This setting is widely applicable for situations where fraudulent reporting with costly state verification takes place. However, we use the framework to investigate tax evasion. We model tax evasion as a concealment-detection contest between the taxpayer and the authority. We show that higher tax rates cause more evasion and increase the resources wasted in the contest. Additionally, we find conditions under which a government should enforce incentive compatible auditing in order to reduce wasted resources.     

Teaching versus research: A multi-tasking approach to multi-department universities

We study the possible implications of incentive schemes as a tool to promote efficiency in the management of universities. In this paper, we show that by designing internal financial rules which create yardstick competition for research funds, a multi-department university may induce better teaching quality and research, as compared to the performance of independent departments.     

Coordinating development: Can income-based incentive schemes eliminate Pareto inferior equilibria?

Individuals' inability to coordinate investment may significantly constrain economic development. In this paper we study a simple investment game characterized by multiple equilibria and ask whether an income-based incentive scheme can uniquely implement the high-investment outcome. A general property of this game is the presence of a crossover-investment point at which an individual's incomes from investment and non-investment are equal. We show that arbitrarily small errors in the government's knowledge of this crossover point can prevent unique implementation of the high-investment outcome. We conclude that informational requirements are likely to severely limit a government's ability to use income-based incentive schemes as a coordination device.     

Strategic information transmission networks

We study a model of multi-player communication. Privately informed decision makers have different preferences about the actions they take, and communicate to influence each others? actions in their favor. We prove that the equilibrium capability of any player to send a truthful message to a set of players depends not only on the preference composition of those players, but also on the number of players truthfully communicating with each one of them. We establish that the equilibrium welfare depends not only on the number of truthful messages sent in equilibrium, but also on how evenly truthful messages are distributed across decision makers.     

Multitask principal-agent problems: Optimal contracts, fragility, and effort misallocation

We analyze a tractable class of multitask principal-agent problems, such as the one faced by a firm with a manager overseeing several projects. We allow for tasks to be complements or substitutes. We avoid the problems associated with the first-order approach by directly characterizing the shape of the agent's indirect utility function, which exhibits a convex then concave shape in effort. We identify a new source of allocational inefficiency across tasks: excessive concentration, and its consequence, insufficient risk taking. Optimal incentive schemes in our environment are generally “fragile”: small changes in fundamentals can cause the agent's effort to collapse.     

An optimal incentive scheme for planning with targets

In socialist economies incentive schemes that contain targets are useful to planners since planners must allocate output to various users. We use a principal-agent model to show that under certain circumstances a first-best Pareto-optimal incentive scheme containing a target exists.     

A computational analysis of R&D support programs

We compare two common government R&D support programs, R&D tax credits and direct R&D grants. To study their effectiveness and the extent to which their design matters, we analyze these programs within a dynamic equilibrium model of imperfectly competitive industries. Adopting comprehensive welfare measures that take into account government, producer and consumer surpluses, we find that both schemes exhibit positive social returns. Mid-range R&D-intensive sectors exhibit higher social returns than either high or low R&D-intensive sectors. Both incentive schemes generate positive measures of R&D input additionality of magnitudes consistent with empirical R&D research. However, R&D grants that require firms to allocate subsidy funds to R&D spur less R&D than a more flexible R&D tax credit. Subsidy schemes can even induce competing firms to over-spend on R&D, generating negative producer surplus and possibly negative social returns.     

The value of information in a principal-agent model with moral hazard: The ex post contracting case

In a principal-agent model with moral hazard, a signal about the principal?s technology — the stochastic mapping from the agent?s action to the outcome — is observed before the contract is offered. The signal is either uninformative (null information), informative and observed only by the principal (private information), or also observed by the agent (public information). We show that, from an ex ante standpoint (before the signal is observed): (i) the agent prefers private to both null and public information; (ii) the principal sometimes prefers null to both private and public information; and (iii) when the principal prefers public to null information, she prefers public to private information, whereas the agent prefers private to public information. In this last situation, we also show that (iv) for any separating equilibrium with private information, there exists a contract with public information that both strictly prefer.     

Tax treatment of owner occupied housing and wealth inequality

We construct a quantitative general equilibrium lifecycle model with housing tenure decisions to investigate the degree to which wealth inequality in the United States is affected by the preferential tax treatment of home-ownership. Favorable tax treatment of owner occupied housing in the form of home mortgage interest and property tax deductibility, and the untaxed nature of imputed rents, provides a financial incentive for home-ownership over renting as well as an incentive to “over-consume” housing since houses are not fungible. Since the favorable tax treatment of housing disproportionately creates tax savings for the upper quantiles of the income distribution, we quantify how it contributes to the heavily right skewed distribution of wealth in the United States using data from the Survey of Consumer Finances. We consider a revenue-neutral government response to the counter factual experiments of removing the current tax structure on housing. Our quantitative analysis shows that, in terms of distributional effects, removing all of the preferential tax treatments results in an aggregate increase in welfare. However, we do not find any reduction in inequality. We also find that while some re-allocation toward financial assets occurs, households primarily increase their consumption when imputed housing rents are taxed and the property tax deduction is removed. Thus housing tax policy may be effective at encouraging more overall saving through housing assets.