Costly monitoring, dynamic incentives, and default

We study dynamic contracts between a lender and a borrower in the presence of costly state verification and hidden effort. We prove three results. Costly monitoring is employed by the lender to optimally limit history dependence and prevent future inefficient termination of the relationship. Due to interaction between costly monitoring and dynamic incentives, the probability of monitoring may fail to be monotone in the borrower's reservation utility. Finally, following the interpretation of the costly state verification literature, we distinguish two levels of bankruptcy: one associated with restructuring and the other with liquidation.

Essais sur la gestion des ressources forestières

Cette thèse est composée de trois essais en économie forestière. Les deux premiers s'intéressent à la fixation de la redevance optimale à laquelle fait face le propriétaire d'une ressource forestière dans un contexte d'information asymétrique. Le troisième analyse l'impact à long terme du recyclage sur la surface de terre affectée à la forêt. La gestion des ressources forestières implique souvent la délégation des droits de coupe par le propriétaire forestier à une entreprise exploitante. Cette délégation prend la forme d'un contrat de concession par lequel le propriétaire forestier octroie les droits d'exploitation aux compagnies forestières, en contrepartie d'une redevance (transfert monétaire). L'octroie des droits d'exploitation s'effectue généralement sous plusieurs modes, dont les plus répandus sont les appels d'offres publics et les contrats de gré à gré, où le propriétaire forestier et la firme exploitante spécifient entre autres la redevance dans les clauses d'exploitation de la forêt. Pour déterminer le mécanisme optimal (choix de la firme, âge de coupe et redevance), le propriétaire forestier a idéalement besoin de connaître les coûts de coupe et de reboisement. Or en réalité, les firmes sont mieux informées sur leurs coûts que le propriétaire forestier. Dans ce contexte d'information asymétrique, le mécanisme optimal doit donc prendre en considération des contraintes informationnelles. Les deux premiers essais caractérisent, sous ces conditions, l'âge de coupe optimal (la rotation optimale) et la redevance optimale. Le premier essai examine le contrat optimal quand le propriétaire forestier cède les droits de coupes à une firme par un accord de gré à gré ou par une procédure d'appel d'offre public au second prix. L'analyse du problème est menée premièrement dans un contexte statique, dans le sens que les coûts de coupe sont parfaitement corrélés dans le temps, puis dans un contexte dynamique, où les coûts sont indépendants dans le temps. L'examen en statique et en dynamique montre que la rotation optimale va satisfaire une version modifiée de la règle de Faustmann qui prévaudrait en information symétrique. Cette modification est nécessaire afin d'inciter la firme à révéler ses vrais coûts. Dans le cas statique, il en résulte que la rotation optimale est plus élevée en information asymétrique qu'en situation de pleine information. Nous montrons également comment le seuil maximal de coût de coupe peut être endogénéisé, afin de permettre au propriétaire d'accroître son profit espéré en s'assurant que les forêts non profitables ne seront pas exploitées. Nous comparons ensuite la redevance optimale en information asymétrique et symétrique. Les redevances forestières dans un arrangement de gré à gré étant généralement, en pratique, une fonction linéaire du volume de bois, nous dérivons le contrat optimal en imposant une telle forme de redevance et nous caractérisons la perte en terme de profit espéré qui résulte de l'utilisation de ce type de contrat plutôt que du contrat non linéaire plus général. Finalement, toujours dans le contexte statique, nous montrons à travers un mécanisme optimal d'enchère au second prix qu'en introduisant ainsi la compétition entre les firmes le propriétaire forestier augmente son profit espéré. Les résultats obtenus dans le contexte dynamique diffèrent pour la plupart de ceux obtenus dans le cas statique. Nous montrons que le contrat optimal prévoit alors que chaque type de firme, incluant celle ayant le coût le plus élevé, obtient une rente strictement positive, laquelle augmente dans le temps. Ceci est nécessaire pour obtenir la révélation à moindre coût à la période courante du véritable type de la firme. Comme implication, la rotation optimale s'accroît aussi dans le temps. Finalement, nous montrons qu'il y a distorsion en asymétrique d'information par rapport à l'optimum de pleine information même pour le coût le plus bas (la réalisation la plus favorable). La concurrence introduite dans le premier essai sous forme d'enchère au second prix suppose que chaque firme connaît exactement son propre coût de coupe. Dans le deuxième essai nous relâchons cette hypothèse. En réalité, ni le propriétaire forestier ni les firmes ne connaissent avec précision les coûts de coupe. Chaque firme observe de manière privée un signal sur son coût. Par exemple chaque firme est autorisée à visiter un lot pour avoir une estimation (signal) de son coût de coupe. Cependant cette évaluation est approximative. Ainsi, le coût de chaque firme va dépendre des estimations (signaux) d'autres firmes participantes. Nous sommes en présence d'un mécanisme à valeurs interdépendantes. Dans ce contexte, la valeur d'une allocation dépend des signaux de toutes les firmes. Le mécanisme optimal (attribution des droits d'exploitation, redevance et âge de coupe) est exploré. Nous déterminons les conditions sous lesquelles le mécanisme optimal peut être implémenté par une enchère au second prix et dérivons la rotation optimale et le prix de réserve dans le contexte de ce type d'enchère. Le troisième essai de la thèse analyse l'impact à long terme du recyclage sur la surface de terre affectée à la forêt. L'un des principaux arguments qui milite en faveur du recours au recyclage est que cela entraînerait une réduction de la coupe de bois, épargnant ainsi des arbres. L'objectif est donc d'aboutir à un nombre d'arbres plus important qu'en l'absence de recyclage. L'idée d'accroître le stock d'arbre tient au fait que les forêts génèrent des externalités: elles créent un flux de services récréatifs, freinent l'érosion des sols et des rives des cours d'eau et absorbent du dioxyde de carbone présent dans l'atmosphère. Étant donné la présence d'externalités, l'équilibre des marchés résulterait en un nombre d'arbre insuffisant, justifiant donc la mise en oeuvre de politiques visant à l'accroître. Le but de ce troisième essai est de voir dans quelle mesure la promotion du recyclage est un instrument approprié pour atteindre un tel objectif. En d'autres mots, comment le recyclage affecte-t-il à long terme la surface de terre en forêt et l'âge de coupe? Nous étudions cette question en spécifiant un modèle dynamique d'allocation d'un terrain donné, par un propriétaire forestier privé, entre la forêt et une utilisation alternative du terrain, comme l'agriculture. Une fois les arbres coupés, il décide d'une nouvelle allocation du terrain. Il le fait indéfiniment comme dans le cadre du modèle de Faustmann. Le bois coupé est transformé en produit final qui est en partie recyclé comme substitut du bois original. Ainsi, les outputs passés affectent le prix courant. Nous montrons que, paradoxalement, un accroissement du taux de recyclage réduira à long terme la surface forestière et donc diminuera le nombre d'arbres plantés. Par contre l'âge de coupe optimal va s'accroître. L'effet net sur le volume de bois offert sur le marché est ambigu. Le principal message cependant est qu'à long terme le recyclage va résulter en une surface en forêt plus petite et non plus grande. Donc, si le but est d'accroître la surface en forêt, il pourrait être préférable de faire appel à d'autres types d'instruments de politique que celui d'encourager le recyclage.

Redistribution with ex-ante unobserved choice

Introducing dynamics to Mirrlees' (1971) optimal taxation model creates a whole new set of issues that are only starting to be investigated in the literature. When choices are made before one's realizing her productivity incentive constraints ought to be defined as a function of more complex strategies than in the static case. 80 far, all work has assumed that these choices are observable and can be contracted upon by the government. Here we investigate choices that : i) are not observed, andj ii) affect preferences conditional Oil the realization of types. In the simplest possible model where a non-trivial filtration is incorporated we show how these two characteristics make it necessary for IC constraints to be defined in terms of strategies rather than pure announcements. Tax prescriptions are derived, and it is shown that they bear some resemblance to classic optimal taxation results. We are able to show that in the most 'natural' cases return on capital ought to be taxed . However, we also show that the uniform taxation prescription of Atkinson and Stiglitz fails to hold, in general.

Yet another reason to tax goods

When, in a dynamic model, choices by an agent : i) are not observed, and; ii) affect preferences conditional on the realization of types, new and unexpected features come up in Mirrlees’ (1971) optimal taxation frame- work. In the simplest possible model where a non-trivial filtration may be incorporated, we show how these two characteristics make it neces- sary for IC constraints to be defined in terms of strategies rather than pure announcements. Tax prescriptions are derived, and we are able to show that uniform taxation prescription of Atkinson and Stiglitz fails to hold, in general. Clean results regarding capital income taxation are not easy to come about because usual assumption on preferences do not allow for determining which constraints bind at the optimum. However, in the most ’natural’ cases, we show that return on capital ought to be taxed.

Non-Commitment and Savings in Dynamic Risk-Sharing Contracts

We characterize the solution to a model of consumption smoothing using financing under non-commitment and savings. We show that, under certain conditions, these two different instruments complement each other perfectly. If the rate of time preference is equal to the interest rate on savings, perfect smoothing can be achieved in finite time. We also show that, when random revenues are generated by periodic investments in capital through a concave production function, the level of smoothing achieved through financial contracts can influence the productive investment efficiency. As long as financial contracts cannot achieve perfect smoothing, productive investment will be used as a complementary smoothing device.

A model of dynamic liquidity contracts

I study long-term financial contracts between lenders and borrowers in the absence of perfect enforceability and when both parties are credit constrained. Borrowers repeatedly have projects to undertake and need external financing. Lenders can commit to contractual agreements whereas borrowers can renege any period. I show that equilibrium contracts feature interesting dynamics: the economy exhibits efficient investment cycles; absence of perfect enforcement and shortage of capital skew the cycles toward states of liquidity drought; credit is rationed if either the lender has too little capital or if the borrower has too little collateral. This paper's technical contribution is its demonstration of the existence and characterization of financial contracts that are solutions to a non-convex dynamic programming problem.

Electronic Business Contracts between Services

Electronic contracts mirror the paper versions exchanged between businesses today, and offer the possibility of dynamic, automatic creation and enforcement of restrictions and compulsions on service behaviour that are designed to ensure business objectives are met. Where there are many contracts within a particular application, it can be difficult to determine whether the system can reliably fulfil them all, yet computer-parsable electronic contracts may allow such verification to be automated. In this chapter, we describe a conceptual framework and architecture specification in which normative business contracts can be electronically represented, verified, established, renewed, and so on. In particular, we aim to allow systems containing multiple contracts to be checked for conflicts and violations of business objectives. We illustrate the framework and architecture with an aerospace aftermarket example.

Dynamic price discrimination with customer recognition

This paper studies a general two-period model of product line pricing with customer recognition. Specifically, we consider a monopolist who can sell vertically differentiated products over two periods to heterogeneous consumers. Each consumer demands one unit of the product in each period. In the second period, the monopolist can condition the price-quality offers on the observed purchasing behavior in the first period. In this setup, the monopolist can price discriminate consumers in two dimensions: by quality as well as by purchase history. We fully characterize the monopolist's optimal pricing strategy when there are two types of consumers. When the type space is a continuum, we show that there is no fully separating equilibrium, and some properties of the optimal contracts (price-quality pairs) are characterized within the class of partitional perfect Bayesian equilibria.

Dynamic hedging in Markov regimes

This dissertation proposes a bivariate markov switching dynamic conditional correlation model for estimating the optimal hedge ratio between spot and futures contracts. It considers the cointegration between series and allows to capture the leverage efect in return equation. The model is applied using daily data of future and spot prices of Bovespa Index and R$/US$ exchange rate. The results in terms of variance reduction and utility show that the bivariate markov switching model outperforms the strategies based ordinary least squares and error correction models.

From commitment to non-commitment: allowing type dynamic in Laffont and Tirole's regulation model

This paper investigates the introduction of type dynamic in the La ont and Tirole's regulation model. The regulator and the rm are engaged in a two period relationship governed by short-term contracts, where, the regulator observes cost but cannot distinguish how much of the cost is due to e ort on cost reduction or e ciency of rm's technology, named type. There is asymmetric information about the rm's type. Our model is developed in a framework in which the regulator learns with rm's choice in the rst period and uses that information to design the best second period incentive scheme. The regulator is aware of the possibility of changes in types and takes that into account. We show how type dynamic builds a bridge between com- mitment and non-commitment situations. In particular, the possibility of changing types mitigates the \ratchet e ect". We show that for small degree of type dynamic the equilibrium shows separation and the welfare achived is close to his upper bound (given by the commitment allocation).

Dynamic Features for Iris Recognition

The human eye is sensitive to visible light. Increasing illumination on the eye causes the pupil of the eye to contract, while decreasing illumination causes the pupil to dilate. Visible light causes specular reflections inside the iris ring. On the other hand, the human retina is less sensitive to near infra-red (NIR) radiation in the wavelength range from 800 nm to 1400 nm, but iris detail can still be imaged with NIR illumination. In order to measure the dynamic movement of the human pupil and iris while keeping the light-induced reflexes from affecting the quality of the digitalized image, this paper describes a device based on the consensual reflex. This biological phenomenon contracts and dilates the two pupils synchronously when illuminating one of the eyes by visible light. In this paper, we propose to capture images of the pupil of one eye using NIR illumination while illuminating the other eye using a visible-light pulse. This new approach extracts iris features called "dynamic features (DFs)." This innovative methodology proposes the extraction of information about the way the human eye reacts to light, and to use such information for biometric recognition purposes. The results demonstrate that these features are discriminating features, and, even using the Euclidean distance measure, an average accuracy of recognition of 99.1% was obtained. The proposed methodology has the potential to be "fraud-proof," because these DFs can only be extracted from living irises.

Data and behavioral contracts for web services

The recent trend in Web services is fostering a computing scenario where loosely coupled parties interact in a distributed and dynamic environment. Such interactions are sequences of xml messages and in order to assemble parties – either statically or dynamically – it is important to verify that the “contracts” of the parties are “compatible”. The Web Service Description Language (wsdl) is a standard used for describing one-way (asynchronous) and request/response (synchronous) interactions. Web Service Conversation Language extends wscl contracts by allowing the description of arbitrary, possibly cyclic sequences of exchanged messages between communicating parties. Unfortunately, neither wsdl nor wscl can effectively define a notion of compatibility, for the very simple reason that they do not provide any formal characterization of their contract languages. We define two contract languages for Web services. The first one is a data contract language and allow us to describe a Web service in terms of messages (xml documents) that can be sent or received. The second one is a behavioral contract language and allow us to give an abstract definition of the Web service conversation protocol. Both these languages are equipped with a sort of “sub-typing” relation and, therefore, they are suitable to be used for querying Web services repositories. In particular a query for a service compatible with a given contract may safely return services with “greater” contract.

Early Versus Late Effort in Dynamic Agencies with Unverifiable Information

In this paper we analyze a dynamic agency problem where contracting parties do not know the agent's future productivity at the beginning of the relationship. We consider a two-period model where both the agent and the principal observe the agent's second-period productivity at the end of the first period. This observation is assumed to be non-verifiable information. We compare long-term contracts with short-term contracts with respect to their suitability to motivate effort in both periods. On the one hand, short-term contracts allow for a better fine-tuning of second-period incentives as they can be aligned with the agent's second-period productivity. On the other hand, in short-term contracts first-period effort incentives might be distorted as contracts have to be sequentially optimal. Hence, the difference between long-term and short-term contracts is characterized by a trade-off between inducing effort in the first and in the second period. We analyze the determinants of this trade-off and demonstrate its implications for performance measurement and information system design.

Capital Accumulation in the Presence of Informal Credit Contracts: Does the Incentive Mechanism Work Better than Credit Rationing Under Asymmetric Information?

Credit markets with asymmetric information often prefer credit rationing as a profit maximizing device. This paper asks whether the presence of informal credit markets reduces the cost of credit rationing, that is, whether it can alleviate the impact of asymmetric information based on the available information. We used a dynamic general equilibrium model with heterogenous agents to assess this. Using Indian credit market data our study shows that the presence of informal credit market can reduce the cost of credit rationing by separating high risk firms from the low risk firms in the informal market. But even after this improvement, the steady state capital accumulation is still much lower as compared to incentive based market clearing rates. Through self revelation of each firm's type, based on the incentive mechanism, banks can diversify their risk by achieving a separating equilibrium in the loan market. The incentive mechanism helps banks to increase capital accumulation in the long run by charging lower rates and lending relatively higher amount to the less risky firms. Another important finding of this study is that self-revelation leads to very significant welfare improvement, as measured by consumptiuon equivalence.