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Abstract

In a market with ‘many’ traders who bear risks, there is the possibility of pooling their independent risks and in this way to eliminate traders’ risks. There is a benefit from trade, and the way this benefit is divided between the traders depends on the system of exchange.

I am indebted to Professor D. Levhari and Professor M. E. Yaari for many comments and suggestions. I am grateful to the participants at the I.E.A. Workshop for many helpful remarks. In particular, F. Delbaen and J. Drèze supervised a systematic revision of the manuscript. However, I alone am responsible for any mistakes still present in the paper.

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Notes

  1. K. J. Arrow, ‘The Role of Securities in the Optimal Allocation of Risk-Bearing’, Review of Economic Studies vol. XXXI (1964), pp. 91–6.

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  2. K. Borch, ‘The Safety Loading of Reinsurance Premiums’, Skandinavisk Aktuarietidskrift vol. XLIII (1960), pp. 163–84.

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  3. G. Debreu and H. Scarf, ‘A Limit Theorem on the Core of an Economy’, International Economic Review; vol. IV (1963), pp. 235–46.

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  4. P. A. Samuelson, ‘General Proof that Diversification Pays’, Journal of Financial and Quantitative Analysis vol. II (1967), pp. 1–13.

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  5. L. J. Savage, The Foundations of Statistics (New York: Wiley, 1954).

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Jacques H. Drèze

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© 1974 International Economic Association

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Caspi, Y. (1974). Optimum Allocation of Risk in a Market With Many Traders. In: Drèze, J.H. (eds) Allocation under Uncertainty: Equilibrium and Optimality. International Economic Association Series. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-01989-2_6

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