Long‐Term Contracts,Irreversibility, and Uncertainty

Long‐term contracting implies contracting based on expected future demand. In this paper, I develop a multiperiod procurement model where, once the actual level of demand is realized, the irreversible initial provision level may be supplemented by additional provisions. This paper shows that, with the possibility of additional upward adjustments, the first‐period provision level will be lower than when no additional adjustments are possible. This reduction in first‐period provision level is higher under complete contracting than under incomplete contracting, and because of the reduction in information rents it yields a higher expected utility to the principal but lower total welfare.     

Increasing Dominance with No Efficiency Effect

I uncover a new force towards increasing dominance (the property whereby, in dynamic games, the leader tends to increase his or her lead in expected terms). The new effect results from the strategic choice of covariance in races. I assume that players must choose not the amount of resources to spend but how to allocate those resources. I show that, in equilibrium, the laggard chooses a less promising path, in effect trading off lower expected value for lower correlation with respect to the leader. This results in increasing dominance and holds true even if no joint-payoff (or efficiency) effect is present. Journal of Economic Literature Classification Numbers: C7, L1.     

A note on capital markets and bankruptcy constraints in contracting

This note considers the extent to which state-contingent bankruptcy constraints in a standard contracting problem with adverse selection can be mitigated by a risk-neutral third party. It shows that if payoffs of principal and agent are quasi-linear, the third party can only affect the constraints if it has complete information about the agent's type — observing a correlated signal is not enough.     

Enforcement frictions and optimal lending contracts

I consider an environment in which contract enforcement is a decision variable for the principal. I construct a model in which entrepreneurs cannot commit to repaying investors for the capital advanced, but investors can force repayment by spending resources. The principal uses enforcement to reduce the resources available to the agent after a default, thus providing incentives for the agent to stay in the relationship. She also ensures contract compliance by backloading the payments to the agent: expected utility rises over time, preventing a default. I consider an application of the framework developed in the paper to the area of firm dynamics. I show that enforcement and backloading are always used jointly. Firm size (measured by capital) grows with time and each firm converges to the efficient size. A second application is to the field of economic development. Costlier enforcement leads to the choice of sub-optimal technology; secondly, it leads to inefficient dispersion of capital across establishments.     

When to fire a CEO: optimal termination in dynamic contracts

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.     

Dynamic costly state verification

Summary. I study a model of dynamic risk sharing with costly state verification (CSV). In the model, a risk neutral agent enters an infinitely repeated relationship with a risk averse agent. In each period, the risk averse agent receives a random income which is observed only by himself, unless the risk neutral agent engages in costly monitoring. I provide a set of characterizations for the optimal contract, and I show that CSV has interesting effects on the long run distribution of the agents expected utilities.Received: 19 February 2003, Revised: 11 February 2004, JEL Classification Numbers: D8.This research was initially joint work with Bruce Smith. I thank Bruce for the inspiration. I thank Fernando Alvarez, Narayana Kocherlakota, Steve Spear, and an anonymous referee for helpful comments. I also thank seminar participants at Carnegie Mellon University, Federal Reserve Banks of Minneapolis, Federal Reserve bank of Richmond, Duke University, SUNY Buffalo, University of Rochester, University of Pittsburgh, University of Western Ontario, the 1998 Econometric Society winter meeting, the 1999 SED meeting, and the 1999 SITE workshop at Stanford University for discussions.     

Coordination and discrimination in contracting with externalities: divide and conquer?

The paper studies bilateral contracting between N agents and one principal, whose trade with each agent generates externalities on other agents. It examines the effects of prohibiting the principal from (i) coordinating agents on her preferred equilibrium, and (ii) making different contracts available to different agents. These effects depend on whether an agent is more or less eager to trade when others trade more. The prohibitions reduce the aggregate trade in the former case, and have little or no effect in the latter case. The inefficiencies under different contracting regimes are linked to the sign of the relevant externalities, and are shown to be typically reduced by both prohibitions.     

Endogenous Verifiability and Optimality in Agency

This paper investigates the optimal contract design in a principal-agent model where verification of an agent's action is endogenously determined through strategic interactions between contracting parties. We derive a necessary and sufficient condition for the first best outcome to be implemented as an equilibrium. The equilibrium has the following features: (i) The action level that the agent chooses is not verified even if it is possible. (ii) Nevertheless, the first best can be attained by making a contract contingent on the unverified action. Journal of Economic Literature Classification Numbers: D20, K40.     

Incentive compatible contractible information

Summary. The paper seeks to characterize what information is always available for contracting, independent of the form of the contract and the probabilities of different states of nature. The paper denotes such information as contractible. It is established that it is possible to speak uniquely of maximal contractible information. Several characterizations are exhibited. In particular, it is shown that if either (a) punishments are bounded everywhere, or (b) deviations from truth-telling are either always or never detected, then maximum contractible information coincides with where is the information partition of agent j. An argument is given for why (b) may be expected to hold. Received: August 7, 2000; revised version: December 21, 2001 RID="*" ID="*" I thank Michael Chwe, Douglas Diamond, Lars Stole, Robert Townsend, Nicholas Yannelis and an anonymous referee for helpful comments.     

Sequential contracting with multiple principals

This paper considers dynamic games in which multiple principals contract sequentially and non-cooperatively with the same agent. We first show that when contracting is private, i.e. when downstream principals do not observe the mechanisms offered upstream and the decisions taken in these mechanisms, all PBE outcomes can be characterized through pure-strategy profiles in which the principals offer menus of contracts and delegate to the agent the choice of the contractual terms. We then show that, in most cases of interest for applications, the characterization of the equilibrium outcomes is further facilitated by the fact that the principals can be restricted to offer incentive-compatible extended direct mechanisms in which the agent reports the endogenous payoff-relevant decisions contracted upstream in addition to his exogenous private information. Finally we show how the aforementioned results must be adjusted to accommodate alternative assumptions about the observability of upstream histories and/or the timing of contracting examined in the literature.     

Adaptive contracting: the trial-and-error approach to outsourcing

Summary. Adaptive contracting occurs when a principal experiments with the delegation of authority through leaving contracts incomplete. We highlight two potential benefits of adaptive contracting: First, the delegation of authority can be advantageous even if the agent acts opportunistically, since expected private benefits will be shared between the parties through price negotiation. Second, the principal extracts information from experimenting with delegation of authority and we identify a positive option value embodied in the principals ability to extend or withdraw the delegated authority in future contracting periods.Received: 14 April 2003, Revised: 26 January 2004, JEL Classification Numbers: D72, L33, L97.We thank John Sørensen and Henrik Severin Hansen for introducing us to the contractual and economical issues in local bus outsourcing in Denmark, Oliver Hart and Antonio Rangel for early discussions on adaptive contracting and Christian Aastrup for research assistance. We are grateful to Danish Transportation Research Institute (www.dtf.dk) for comments and financial support for this project.     

Agency conflicts in the presence of random private benefits from project implementation

We study a contracting problem where a principal delegates the decision to implement a “project” to an agent who obtains private information about the value of the project before making the implementation decision. Moral hazard arises because the agent gets private random non-contractible benefits, or incurs private random non-contractible costs, if the project is implemented. This contracting problem is pervasive, when “project” and “benefits” are interpreted broadly.     

An Agency Perspective on the Costs and Benefits of Privatization

This paper proposes a unified theoretical framework to discuss the costs and benefits of privatization using the recent advances of Incentive Theory. I begin by presenting a simple model in which the State (the principal) delegates a task (e.g., the production of a public good) to the private sector (the agent). I give and discuss conditions for the “Irrelevance Theorem” due to Sappington and Stiglitz [Sappington, D., & Stiglitz, J. (1987) Journal of Policy Analysis and Management, 6, 567–582] to hold under complete contracting. I then show how various contract incompletenesses can make either public or private ownership optimal. Finally, I provide critical assessments of these results. I thank Patrick Rey and Wilfried Zantman for useful comments on an earlier draft. The excellent comments of two referees have also improved substantially the presentation and organization of the paper. I am deeply indebted to Denis Gromb for his extremely detailed comments.     

Diversification, convex preferences and non-empty core in the Choquet expected utility model

Summary. We show, in the Choquet expected utility model, that preference for diversification, that is, convex preferences, is equivalent to a concave utility index and a convex capacity. We then introduce a weaker notion of diversification, namely “sure diversification.” We show that this implies that the core of the capacity is non-empty. The converse holds under concavity of the utility index, which is itself equivalent to the notion of comonotone diversification, that we introduce. In an Anscombe-Aumann setting, preference for diversification is equivalent to convexity of the capacity and preference for sure diversification is equivalent to non-empty core. In the expected utility model, all these notions of diversification are equivalent and are represented by the concavity of the utility index. Received: July 27, 1999; revised version: November 7, 2000     

Focusing effect and the poverty trap

I build a dynamic consumption-savings model in which agents׳ choices are distorted by the focusing effect: agents overweight the utility of goods in which their options differ more. I show that the consumption-savings choice depends both on the marginal return on savings and on the total return on savings, implying that the incentive to save may increase with the initial level of wealth. As a consequence, a salience-based poverty trap may exist when the marginal return on savings is sufficiently high and sufficiently flat. I also consider the case of a perfect credit market and show that a poverty trap may emerge when the salience of consumption is bounded above. I discuss policy implications. In particular, imposing upon an agent a punishment for decreasing savings below a threshold leads to a higher level of savings, even when the threshold triggering the punishment is not binding     

Sorting the good guys from bad: on the optimal audit structure with ex-ante information acquisition

In a costly state verification model under commitment, the principal may acquire a costly public and imperfectly revealing signal before or after contracting. If the project remains profitable after all signal realizations, optimally the signal is collected, if at all, only after contracting, and it may be acquired randomly or deterministically. Moreover, audit is deterministic and targeted on some signal-state combinations. The paper provides a detailed characterization of the optimal contract and performs a comparative static analysis of signal acquisition strategy and payoffs with respect to enforcement costs and informativeness of the signal. We explore the robustness of the results, including commitment issues. The results are interpreted in light of the observed features of financial contracts, showing that the optimality of the standard debt contract with deterministic audit extends to a setting with random audit.     

Allocation rules for land division

This paper studies the classical land division problem formalized by Steinhaus (Econometrica 16 (1948) 101-104) in a multi-profile context. We propose a notion of an allocation rule for this setting.  We discuss several examples of rules and properties they may satisfy. Central among these properties is division independence: a parcel may be partitioned into smaller parcels, these smaller parcels allocated according to the rule, leaving a recommended allocation for the original parcel. In conjunction with two other normative properties, division independence is shown to imply the principle of utilitarianism.     

Can Agents Be Better Off with Pay Caps?

A popular way to discipline the managers of companies or banks that got into trouble during the recent financial crisis has been to impose caps on managers' pay. Using a small extension of the standard principal–agent model, we argue that pay caps might serve the opposite purpose, because the agent might be better off with a pay cap. Specifically, we show that, given a fixed effort level to be implemented, the agent's expected utility can be decreasing in an upper bound for the agent's reward. The effect of pay caps on the general structure of optimal incentive contracts is also characterized. While an improvement of contracting information always helps the principal, it might increase or decrease the marginal cost of imposing pay caps.     

Inflationary expectations and monetary policy: evidence from Bangladesh

This article first estimates inflationary expectations using a Blanchard–Quah VAR model by decomposing the nominal interest rate into expected inflation and the ex ante real interest rate. Then I utilize this expected inflation along with other macroeconomic variables as inputs to the monetary policy function in a recursive VAR model to identify exogenous policy shocks. To calculate inflationary expectations, I assume that ex ante real interest rate shocks do not have a long-run effect on the nominal interest rate. This article finds that the public expects lower inflation for the future during periods of high inflation. Estimated results from the recursive VAR suggest that a contractionary policy shock increases the real interest rate, appreciates domestic currency, and lowers inflationary expectations and industrial output. However, I find a lagged policy response from Bangladesh Bank to higher inflationary expectations.