nep-cta New Economics Papers
on Contract Theory and Applications
Issue of 2020‒08‒24
two papers chosen by
Guillem Roig
University of Melbourne

  1. Incentives, Globalization, and Redistribution By Andreas Haufler; Carlo Perroni
  2. Continuous-time incentives in hierarchies By Emma Hubert

  1. By: Andreas Haufler; Carlo Perroni
    Abstract: We offer a new explanation for why taxes have become less progressive in many countries in parallel with an increase in income inequality. When performance-based compensation differentials are needed to incentivize effort, redistribution through progressive income taxes becomes less precisely targeted. Taxation reduces after-tax income inequality but undermines incentive contracts, lowering effort and raising pre-tax income differentials. Market integration can widen the spread of project returns and make contract choices more responsive to changes in the level of taxation, resulting in a lower optimum income tax rate even when individuals are not inter-jurisdictionally mobile.
    Keywords: redistributive taxation, performance-based contracts, market integration
    JEL: H21 F15 D63
    Date: 2020
  2. By: Emma Hubert
    Abstract: This paper studies continuous-time optimal contracting in a hierarchy problem which generalises the model of Sung (2015). The hierarchy is modeled by a series of interlinked principal-agent problems, leading to a sequence of Stackelberg equilibria. More precisely, the principal can contract with the managers to incentivise them to act in her best interest, despite only observing the net benefits of the total hierarchy. Managers in turn subcontract with the agents below them. Both agents and managers independently control in continuous time a stochastic process representing their outcome. First, we show through a continuous-time adaptation of Sung's model that, even if the agents only control the drift of their outcome, their manager controls the volatility of their continuation utility. This first simple example justifies the use of recent results on optimal contracting for drift and volatility control, and therefore the theory of second-order backward stochastic differential equations, developed in the theoretical part of this paper, dedicated to a more general model. The comprehensive approach we outline highlights the benefits of considering a continuous-time model and opens the way to obtain comparative statics. We also explain how the model can be extended to a large-scale principal-agent hierarchy. Since the principal's problem can be reduced to only an $m$-dimensional state space and a $2m$-dimensional control set, where $m$ is the number of managers immediately below her, and is therefore independent of the size of the hierarchy below these managers, the dimension of the problem does not explode.
    Date: 2020–07

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