الفهرس 
Pontryagin’s minimum principle
Pareto and Nash Min-Max Continuous Differential GameOnly 14 pages are availabe for public view
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Abstract
The main purpose of this work is to introduce new model approaches for continuous differential games and investigate its parametric stability notions of such games in both the objective functions and constrains. The main contributions presented in this thesis are: First , a new structure min-max di erential game model has been mathematically formulated with Pareto and Nash concepts between players, necessary conditions for the optimality solutions and an example introduced . Also , a parametric study have introduced concerning the qualitative and quantitative analysis of both the stability set of rst kind and the stability set of the second kind for such game with methods to determine these sets. secondly , another new structure dierential game model has been mathematically formulated on the main concept of Stackelberg dierential game with min-max followers that play their optimality response subject to Pareto and Nash concepts, necessary conditions for the optimality solutions and an example introduced . Also , a parametric study have introduced concerning the qualitative and quantitative analysis of both the stability set of rst kind and the stability set of the second kind for such game with methods to determine these sets. DiffErential games problems represent wide importance in explaining and predicting some phenomena rationally to all areas of economics, politics, and the management sciences ,this thesis introduce two new structures model with a study on the parametric analysis in both the objective functions and constraints for the min-max and Stackelberg continuous di erential games and it consists of ve chapters: Chapter I Survey On Related Topics In this chapter we give brief introduction about basic topics that needed for this thesis such as optimal control problem, continuous static games and continuous di erential games. Denitions, notions, problems structures and necessary conditions for obtaining the solutions are presented. Chapter II Parametric Continuous Di erential Games A survey of parametric study was investigated in both the objective functions and constrains for Nash coalitive equilibrium continuous di erential games and Stackelberg continuous di erential games models, the defnitions and methods to determine the stability sets of rst and second kind for the solutions to this game models were given. Chapter III Pareto and Nash Min-Max Continuous Di erential Game New model Min-Max continuous di erential games was mathematically struc- tured between two groups of players each play with di erent game concepts, one group coalitive and follow Pareto concept while the other group play independently following Nash concept. Problem formulation, necessary con- ditions for optimality and parametric analysis were provided and illustrated examples introduced. Chapter IV Stackelberg Min-Max Pareto and Nash Followers Con- tinuous Di erential Game In this chapter we introduce another new model for Stackelberg continuous di erential game with min-max followers, followers consist of two groups each play with di erent game concepts, one group coalitive and follow Pareto con- cept while the other group play independently following Nash concept then they play against each other with min-max concept, nally the leader take his optimality decision considering the followers respond optimality concepts.