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Decomposition and characterization of risk with a continuum of random variables

Article Abstract:

The different risks involved in a continuum of random variables were characterized and represented. A main theorem was developed which states that a weak measurability condition on a process is equivalent to either decomposition risk, approximation by simple processes or approximation by large samples. In addition, an extension theorem was also formulated which states that payoff functions defined on simple processes are continuous extensions of the main theorem.

Author: Al-Najjar, Nabil Ibraheem
Publisher: Blackwell Publishers Ltd.
Publication Name: Econometrica
Subject: Mathematics
ISSN: 0012-9682
Year: 1995
Decision theory, Games of strategy (Mathematics)

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Risk-sharing between and within families

Article Abstract:

Panel Study of Income Dynamics (PSID) data was evaluated to determine risk-sharing levels between and within American families. The PSID data represented a random sample of families made up of original household members and split-offs from two distinct periods including 1968-1981 and 1985-1987. Zero percentage change is observed for the methodology's p-value, indicating a rejection of inter- and intra-family full risk-sharing.

Author: Hayashi, Fumio, Altonji, Joseph, Kotlikoff, Laurence
Publisher: Blackwell Publishers Ltd.
Publication Name: Econometrica
Subject: Mathematics
ISSN: 0012-9682
Year: 1996
United States economic conditions, Households

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Individual risk and mutual insurance

Article Abstract:

A market defined by the presence of Arrow securities and mutual insurance contracts is used to describe the accomplishment of economic efficiency despite strong individual risk. Market clearing is still achieved despite uncertainty with accounting for both individual and collective risks. Thus, individual risk pooling and collective risk spreading generate allocational efficiency in the market.

Author: Cass, David, Chichilnisky, Graciela, Wu, Ho-Mou
Publisher: Blackwell Publishers Ltd.
Publication Name: Econometrica
Subject: Mathematics
ISSN: 0012-9682
Year: 1996
Economic aspects, Insurance industry, Equilibrium (Economics)

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Subjects list: Research, Risk (Economics)
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