Decision Making Under Risk and Uncertainty

J. Geweke

ISBN 10: 9401052611 / ISBN 13: 9789401052610

Published by Springer, Springer Netherlands Okt 2012, 2012

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -As desired, the infonnation demand correspondence is single valued at equilibrium prices. Hence no planner is needed to assign infonnation allocations to individuals. Proposition 4. For any given infonnation price system p E . P (F \*), almost every a E A demands a unique combined infonnation structure (although traders may be indifferent among partial infonnation sales from different information allocations, etc. ). In particular, the aggregate excess demand correspondence for net combined infonnation trades is a continuous function. Proof Uniqueness fails only if an agent can obtain the same expected utility from two or more net combined infonnation allocations. If this happens, appropriate slight perturbations of personal probability vectors destroy the equality unless the utility functions and wealth allocations were independent across states. Yet, when utilities and wealths don't depend on states in S, no infonnation to distinguish the states is desired, so that the demand for such infonnation structures must equal zero. To show the second claim, recall that if the correspondence is single valued for almost every agent, then its integral is also single valued. Finally, note that an upper hemicontinuous (by Proposition 2) correspondence which is single valued everywhere is, in fact, a continuous function. [] REFERENCES Allen, Beth (1986a). 'The Demand for (Differentiated) Infonnation'; Review of Economic Studies. 53. (311-323). Allen, Beth (1986b). 'General Equilibrium with Infonnation Sales'; Theory and Decision. 21. (1-33). Allen, Beth (1990). 'Infonnation as an Economic Commodity'; American Economic Review. 80. (268-273).Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 276 pp. Englisch.

Seller Inventory # 9789401052610

Bibliographic Details

• Title: Decision Making Under Risk and Uncertainty
• Publisher: Springer, Springer Netherlands Okt 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 9401052611
• ISBN 13: 9789401052610
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 160H x 16D millimeters 240 millimeters width by 160 millimeters height by 16 millimeters depth
• Weight: 446 grams

About this title

Synopsis

As desired, the infonnation demand correspondence is single valued at equilibrium prices. Hence no planner is needed to assign infonnation allocations to individuals. Proposition 4. For any given infonnation price system p E . P (F *), almost every a E A demands a unique combined infonnation structure (although traders may be indifferent among partial infonnation sales from different information allocations, etc. ). In particular, the aggregate excess demand correspondence for net combined infonnation trades is a continuous function. Proof Uniqueness fails only if an agent can obtain the same expected utility from two or more net combined infonnation allocations. If this happens, appropriate slight perturbations of personal probability vectors destroy the equality unless the utility functions and wealth allocations were independent across states. Yet, when utilities and wealths don't depend on states in S, no infonnation to distinguish the states is desired, so that the demand for such infonnation structures must equal zero. To show the second claim, recall that if the correspondence is single valued for almost every agent, then its integral is also single valued. Finally, note that an upper hemicontinuous (by Proposition 2) correspondence which is single valued everywhere is, in fact, a continuous function. [] REFERENCES Allen, Beth (1986a). "The Demand for (Differentiated) Infonnation"; Review of Economic Studies. 53. (311-323). Allen, Beth (1986b). "General Equilibrium with Infonnation Sales"; Theory and Decision. 21. (1-33). Allen, Beth (1990). "Infonnation as an Economic Commodity"; American Economic Review. 80. (268-273).