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Working Paper
Insurance and Inequality with Persistent Private Information
This paper studies the optimal tradeoff between insurance and inequality in economies with persistent private information.We consider a principal-agent model in which the principal insures the agent against privately-observed shocks to his endowment, which follows an ergodic finite-state Markov chain that may exhibit arbitrary serial correlation. The optimal contract always induces immiseration: the agent’s consumption and utility become arbitrarily negative in the long run. When the endowment is positively serially correlated, the optimal contract provides increasingly high-powered ...
Working Paper
Insurance and Inequality with Persistent Private Information
We study optimal insurance contracts for an agent with Markovian private information. Our main results characterize the implications of constrained efficiency for long-run welfare and inequality. Under minimal technical conditions, there is Absolute Immiseration: in the long run, the agent?s consumption and utility converge to their lower bounds. When types are persistent and utility is unbounded below, there is Relative Immiseration: low-type agents are immiserated at a faster rate than high-type agents, and ?pathwise welfare inequality? grows without bound. These results extend and ...