Competitive Equilibria in Two-Sided Matching Markets with General Utility Functions

2016 ◽  
Vol 64 (3) ◽  
pp. 638-645 ◽  
Author(s):  
Saeed Alaei ◽  
Kamal Jain ◽  
Azarakhsh Malekian
2011 ◽  
Vol 10 (2) ◽  
pp. 34-36 ◽  
Author(s):  
Saeed Alaei ◽  
Kamal Jain ◽  
Azarakhsh Malekian

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
G. Anello ◽  
F. Rania

We study the existence of general competitive equilibria in economies with agents and goods in a finite number. We show that there exists a Walras competitive equilibrium in all ownership private economies such that, for all consumers, initial endowments do not contain free goods and utility functions are locally Lipschitz quasiconcave. The proof of the existence of competitive equilibria is based on variational methods by applying a theoretical existence result for Generalized Quasi Variational Inequalities.


2015 ◽  
Vol 32 (2) ◽  
pp. 373-410 ◽  
Author(s):  
Yoshiko T. Ikebe ◽  
Yosuke Sekiguchi ◽  
Akiyoshi Shioura ◽  
Akihisa Tamura

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.


2010 ◽  
Vol 9 (1) ◽  
pp. 1-5 ◽  
Author(s):  
Ning Chen ◽  
Xiaotie Deng ◽  
Arpita Ghosh

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