p-Weakly constrained Pareto efficiency and aggregation in incomplete markets |
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Authors: | Chenghu Ma Jiankang Zhang |
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Institution: | 1. School of Management, Fudan University, Shanghai, 200433, China 2. Department of Economics, Carleton University, Ottawa, ON, K1S 5B6, Canada
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Abstract: | This paper studies aggregation and a weak form of optimality referring to the p-weakly constrained Pareto efficiency (p-WE) in stochastic finance economies with incomplete markets. We derive a representative agent utility function maximized at equilibrium and a characterization of the set of p-WE allocations. Moreover, we establish the correspondence between the set of competitive equilibrium allocations and the set of p-WE allocations. It is noted that these are accomplished for general time-state utility functions and without restrictions on the initial resource allocations. |
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