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Title:Long-term contracting in a changing world PDF Logo
Authors:Pavan, Alessandro
Issue Date:2007
Series/Report no.:Discussion paper // Center for Mathematical Studies in Economics and Management Science 1456
Abstract:I study the properties of optimal long-term contracts in an environment in which the agent.s type evolves stochastically over time. The model stylizes a buyer-seller relationship but the results apply quite naturally to many contractual situations including regulation and optimal income-taxation. I .rst show, through a simple example, that distortions need not vanish over time and need not be monotonic in the shock to the buyer.s valuation. These results are in contrast to those obtained in the literature that assumes a Markov process with a binary state space. e.g. Battaglini, 2005. I then show that when the sets of possible types in any two adja-cent periods satisfy a certain overlapping condition (which is always satis.ed with a continuum of types), then the dynamics of the optimal mechanism can be signi.cantly simpli.ed by as-suming the shocks are independent over time. Under certain regularity conditions, the optimal mechanism is then the same irrespective of whether the shocks are the buyer.s private informa-tion or are observed also by the seller. These conditions are satis.ed, for example, in the case of an AR(1) process, a Brownian motion, but also when shocks have a multiplicative e├żect as it is often the case in .nancial applications. Furthermore, the distortions in the optimal quantities are independent of the distributions of the shocks and, when the buyer.s valuation is additively separable, they are also independent of whether the shocks are transitory or permanent. Finally, I show that assuming the shocks are independent not only greatly simpli.es the analysis but is actually without loss of generality with a continuum of types.
Subjects:asymmetric information
stochastic process
dynamic mechanism design
long-term contracting
JEL:D82
C73
L1
Document Type:Working Paper
Appears in Collections:Discussion Papers, Kellogg School of Management, Northwestern University

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