
on Contract Theory and Applications 
By:  Dirk Krueger (University of Pennsylvania CEPR and NBER); Harald Uhlig (University of Chicago CEPR and NBER) 
Abstract:  This paper characterizes the stationary equilibrium of a continuoustime neoclassical production economy with capital accumulation in which households can insure against idiosyncratic income risk through longterm insurance contracts. Insurance companies operating in perfectly competitive markets can commit to future contractual obligations, whereas households cannot. For the case in which household labor productivity takes two values, one of which is zero, and where households have logutility we provide a complete analytical characterization of the optimal consumption insurance contract, the stationary consumption distribution and the equilibrium aggregate capital stock and interest rate. Under parameter restrictions, there is a unique stationary equilibrium with partial consumption insurance and a stationary consumption distribution that takes a truncated Pareto form. The unique equilibrium interest rate (capital stock) is strictly decreasing (increasing) in income risk. The paper provides an analytically tractable alternative to the standard incomplete markets general equilibrium model developed in Aiyagari (1994) by retaining its physical structure, but substituting the assumed incomplete asset markets structure with one in which limits to consumption insurance emerge endogenously, as in Krueger and Uhlig (2006). 
Keywords:  Idiosyncratic Risk, Limited Commitment, Stationary Equilibrium 
JEL:  E21 D11 D91 G22 
Date:  2022–09–09 
URL:  http://d.repec.org/n?u=RePEc:pen:papers:22023&r= 
By:  Francesc Dilmé (University of Bonn); Daniel Garrett (University of Essex) 
Abstract:  Work on relational employment agreements often predicts low payments or termination for poor performance. The possibility of saving can, however, limit the e˙ectiveness of monetary incentives in motivating an employee with diminishing marginal utility for consumption. We study the role of savings and their observability in optimal relational contracts. We focus on the case where players are not too patient, and hence the constant firstbest e˙ort cannot be implemented. If savings are hidden, the relationship eventually deteriorates over time. In particular, both payments and e˙ort decline. On the other hand, if savings are public, consumption is initially high, so the agent’s savings fall over time, and e˙ort and payments to the agent increase. The findings thus suggest how tacit agreements on consumption can forestall the deterioration of dynamic relationships in which the agent can save. 
Keywords:  relational contracts, consumption smoothing preferences, private savings 
JEL:  C73 J30 
Date:  2022–08 
URL:  http://d.repec.org/n?u=RePEc:ajk:ajkdps:192&r= 
By:  Panova, Elena 
Abstract:  We consider the problem of sharing the cost of efficient uncongested treenetwork among users with differentiated willingness to pay for the good supplied through the network. We nd that the associated value sharing problem is convex, hence, the core is large and we axiomatize a new, computationally simple core selection based on the idea of proportionality. 
Keywords:  sharing network cost; core; proportional allocation 
JEL:  C71 
Date:  2022–09–06 
URL:  http://d.repec.org/n?u=RePEc:tse:wpaper:127271&r= 
By:  John A. List; Rohen Shah 
Abstract:  In organizations, teams are ubiquitous. “Weakest Link” and “Best Shot” are incentive schemes that tie a group member’s compensation to the output of their group’s least and most productive member, respectively. In this paper, we test the impact of these incentive schemes by conducting two pilot RCTs (one inperson, one online), which included more than 250 graduate students in a graduate math class. Students were placed in study groups of three or four students, and then groups were randomized to either control, Weakest Link, or Best Shot incentives. We find evidence that such incentive approaches can affect test scores, both inperson and online. 
JEL:  C9 C93 D79 I2 J3 
Date:  2022–08 
URL:  http://d.repec.org/n?u=RePEc:nbr:nberwo:30374&r= 