scholarly journals On the existence of sunspot equilibria in an overlapping generations model

1988 ◽  
Vol 44 (1) ◽  
pp. 19-42 ◽  
Author(s):  
James Peck
Author(s):  
Chao Gu ◽  
Han Han ◽  
Randall Wright

The effects of news (i.e., information innovations) are studied in dynamic general equilibrium models where liquidity matters. As a leading example, news can be announcements about monetary policy directions. In three standard theoretical environments—an overlapping generations model of fiat currency, a new monetarist model accommodating multiple payment methods, and a model of unsecured credit—transition paths are constructed between an announcement and the date at which events are realized. Although the economics is different, in each case, news about monetary policy can induce volatility in financial and other markets, with transitions displaying booms, crashes, and cycles in prices, quantities, and welfare. This is not the same as volatility based on self-fulfilling prophecies (e.g., cyclic or sunspot equilibria) studied elsewhere. Instead, the focus is on the unique equilibrium that is stationary when parameters are constant but still delivers complicated dynamics in simple environments due to information and liquidity effects. This is true even for classically-neutral policy changes. The induced volatility can be bad or good for welfare, but using policy to exploit this in practice seems difficult because outcomes are very sensitive to timing and parameters. The approach can be extended to include news of real factors, as seen in examples.


1997 ◽  
Vol 1 (4) ◽  
pp. 740-769 ◽  
Author(s):  
ROGER E.A. FARMER ◽  
MICHAEL WOODFORD

We demonstrate that multiple stationary rational-expectations equilibria exist in a version of Lucas's island economy. The existence of these equilibria follows from the fact that there is an indeterminate set of monetary equilibria in the two-period overlapping-generations model. We show how to construct stationary rational-expectations equilibria by randomizing over the set of nonstationary monetary equilibria. In some of our equilibria, a positively sloped Phillips curve exists even though our economy contains no signal-extraction problem as in the original Lucas paper. Our equilibria are indexed by beliefs and are examples of the existence of sunspot equilibria in which allocations may differ across states of nature for which preferences, technology, and endowments are identical. Our technique for constructing stationary sunspot equilibria should prove useful in a wide class of models in which an indeterminate stationary equilibrium exists.


2012 ◽  
Vol 17 (6) ◽  
pp. 1198-1226 ◽  
Author(s):  
Luca Bossi ◽  
Gulcin Gumus

In this paper, we set up a three-period stochastic overlapping-generations model to analyze the implications of income inequality and mobility for demand for redistribution and social insurance. We model the size of two different public programs under the welfare state. We investigate bidimensional voting on the tax rates that determine the allocation of government revenues among transfer payments and old-age pensions. We show that the coalitions formed, the resulting political equilibria, and the demand for redistribution crucially depend on the level of income inequality and mobility.


2020 ◽  
Vol 87 (6) ◽  
pp. 2542-2567
Author(s):  
B Biais ◽  
A Landier

Abstract While potentially more productive, more complex tasks generate larger agency rents. Agents therefore prefer to acquire complex skills, to earn large rents. In our overlapping generations model, their ability to do so is kept in check by competition with predecessors. Old agents, however, are imperfect substitutes for young ones, because the latter are easier to incentivize, thanks to longer horizons. This reduces competition between generations, enabling young managers to go for larger complexity than their predecessors. Consequently, equilibrium complexity and rents gradually increase beyond what is optimal for the principal and for society.


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