Differentially Private Mechanism for Determining the Equilibrium Price under Strongly Convex Cost Functions and Strongly Concave Utility Functions

We consider the equilibrium uniqueness problem for a large class of Cournot oligopolies with convex cost functions and a proper price function [Formula: see text] with decreasing price flexibility. This class allows for (at [Formula: see text]) discontinuous industry revenue and in particular for [Formula: see text]. The paper illustrates in an exemplary way the Selten–Szidarovszky technique based on virtual backward reply functions. An algorithm for the calculation of the unique equilibrium is provided.

Download Full-text

Multi-objective optimization with non-convex cost functions using fuzzy mechanism based continuous genetic algorithm

2017 4th IEEE Uttar Pradesh Section International Conference on Electrical, Computer and Electronics (UPCON) ◽

10.1109/upcon.2017.8251091 ◽

2017 ◽

Cited By ~ 1

Author(s):

Shradha Singh Parihar ◽

Nitin Malik

Keyword(s):

Genetic Algorithm ◽

Cost Functions ◽

Multi Objective Optimization ◽

Multi Objective ◽

Convex Cost ◽

Continuous Genetic Algorithm

Download Full-text

Emission, reserve and economic load dispatch problem with non-smooth and non-convex cost functions using epsilon-multi-objective genetic algorithm variable

International Journal of Electrical Power & Energy Systems ◽

10.1016/j.ijepes.2013.03.017 ◽

2013 ◽

Vol 52 ◽

pp. 55-67 ◽

Cited By ~ 22

Author(s):

Ehsan Afzalan ◽

Mahmood Joorabian

Keyword(s):

Genetic Algorithm ◽

Cost Functions ◽

Economic Load Dispatch ◽

Multi Objective ◽

Convex Cost ◽

Multi Objective Genetic Algorithm

Download Full-text

EXISTENCE, UNIQUENESS, AND DETERMINACY OF A NONNEGATIVE EQUILIBRIUM PRICE VECTOR IN ASSET MARKETS WITH GENERAL UTILITY FUNCTIONS AND AN ELLIPTICAL DISTRIBUTION

Asia Pacific Journal of Operational Research ◽

10.1142/s0217595904000308 ◽

2004 ◽

Vol 21 (03) ◽

pp. 393-405

Author(s):

ZHIPING CHEN

Keyword(s):

Equilibrium Price ◽

Utility Functions ◽

Equilibrium Analysis ◽

Asset Market ◽

Maximization Problem ◽

Sufficient Condition ◽

Elliptical Distribution ◽

Necessary And Sufficient Condition ◽

Price Vector ◽

Necessary And Sufficient

For the asset market with finite numbers of investors whose utility functions are general concave functions, we derive a necessary and sufficient condition for the existence and uniqueness of the nonnegative equilibrium price vector that clears the asset market, through considering the expected utility maximization problem under the assumption that the joint distribution of risky assets' returns is an elliptical distribution. An explicit formula for the equilibrium price is given. We also discuss the economic implication of the given condition and demonstrate that our necessary and sufficient condition can be regarded as a necessary condition to maintain the stability of the asset market. These results extend some results about the equilibrium analysis of the asset market.

Download Full-text