Generic Impossibility of Partial Ex Post Implementation with General Utility Functions

Author(s):  
Tadashi Hashimoto
2008 ◽  
Vol 63 (2) ◽  
pp. 527-566 ◽  
Author(s):  
Dirk Bergemann ◽  
Stephen Morris

2021 ◽  
Author(s):  
Kaname Miyagishima

AbstractIn a simple model where agents’ monetary payoffs are uncertain, this paper examines the aggregation of subjective expected utility functions which are interpersonally noncomparable. A maximin social welfare criterion is derived from axioms of efficiency, ex post equity, and social rationality, combined with the independence of beliefs and risk preferences in riskless situations (Chambers and Echenique in Games Econ Behav 76:582–595, 2012). The criterion compares allocations by the values of the prospects composed of the statewise minimum payoffs evaluated by the certainty equivalents. Because of this construction, the criterion is egalitarian and risk averse.


2011 ◽  
Vol 10 (2) ◽  
pp. 34-36 ◽  
Author(s):  
Saeed Alaei ◽  
Kamal Jain ◽  
Azarakhsh Malekian

2019 ◽  
Vol 49 (2) ◽  
pp. 491-523
Author(s):  
Jinggong Zhang ◽  
Ken Seng Tan ◽  
Chengguo Weng

AbstractIn this article, we study the problem of optimal index insurance design under an expected utility maximization framework. For general utility functions, we formally prove the existence and uniqueness of optimal contract and develop an effective numerical procedure to derive the optimal solution. For exponential utility and quadratic utility functions, we obtain analytical expression of the optimal indemnity function. Our results show that the indemnity can be a highly nonlinear and even non-monotonic function of the index variable in order to align with the actual loss variable so as to achieve the best reduction in basis risk. Due to the generality of model setup, our proposed method is readily applicable to a variety of insurance applications including index-linked mortality securities, weather index agriculture insurance, and index-based catastrophe insurance. Our method is illustrated by numerical examples where weather index insurance is designed for protection against the adverse rice yield using temperature and precipitation as the underlying indices. Numerical results show that our optimal index insurance significantly outperforms linear-type index insurance contracts in terms of basis risk reduction.


2007 ◽  
Vol 97 (1) ◽  
pp. 70-73 ◽  
Author(s):  
Philippe Jehiel ◽  
Moritz Meyer-ter-Vehn ◽  
Benny Moldovanu ◽  
William R. Zame

Econometrica ◽  
2006 ◽  
Vol 74 (3) ◽  
pp. 585-610 ◽  
Author(s):  
Philippe Jehiel ◽  
Moritz Meyer-ter-Vehn ◽  
Benny Moldovanu ◽  
William R. Zame

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