Ergodic Markov equilibrium with incomplete markets and short sales
AbstractThis paper studies recursive exchange economies with short sales. Agents maximize discounted expected utility. The asset structure is general and includes real securities, infinite-lived stocks, options, and other derivatives. The main result shows the existence of a competitive equilibrium process that is stationary and has an invariant ergodic measure. Ergodicity is required in finance for time series analysis of structural asset pricing models. This equilibrium property is difficult to obtain when heterogeneous agents can accumulate debt over time. Bounded marginal utility is shown to be a key condition for ergodicity in this setting.
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Bibliographic InfoArticle provided by Econometric Society in its journal Theoretical Economics.
Volume (Year): 8 (2013)
Issue (Month): 1 (January)
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Web page: http://econtheory.org
General equilibrium; incomplete markets; recursive; markov; stationary; ergodic; existence;
Find related papers by JEL classification:
- D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
- D90 - Microeconomics - - Intertemporal Choice - - - General
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
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