I work in the following branches of Mathematical Sciences: Operations Research and Game Theory.

Lexicographic non-coalition and cooperative games are student in my scientific works.

It is proved, that in lexicographic non-coalition games the set of equilibrium situations can be described by means of sets of equilibrium situations of the corresponding non-coalition subgames of the components. For lexicographic cooperative games results describing the structure of a set of sharing and c-Kernel are obtaned.  

1. Beltadze G.N.- Sets of equilibrium situations in lexicographic noncoalition games (in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1980-V.98,num 1.-pp41-44.
2. Beltadze G.N.- A mixed extension of finite noncoalition lexicographic games (in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1980-V.98,num 2.-pp273-276.
3. Beltadze G.N.-Cooperative games with lexicographic games (in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1980-V.99,num 2.-pp309-312
4. Beltadze G.N.-.On the reduction of the solution of a lexiographic matrix game to the solution of its square subgame (in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1981-V.104,num 1.-pp29-32
5. Beltadze G.N.-. Equilibrium situations in lexicographic bimatrix games (in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1986-V.121,num 1.-pp33-36
6. Beltadze G.N.-.Analysis of the affine forms in lexiographic games(in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1990-V.137,num 2.-pp265-268
7. Beltadze G.N.-.Lexiographic matrix games and mathematical programming (in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1990-V.137,num 3.-pp485-485
8. Beltadze G.N.-.About the existence of solutions in the lexiographic differential games with absolute information (in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1990-V.140,num 2.-pp293-296
9. Beltadze G.N.- Analysis of the infinite dimensional lexiographic games(in Russian); Bulletin of the Academy of Sciences of the Georgian SSR.-1991- V.141,num 2.-pp241-244
10. Topchishvili A.,Beltadze G.- Multicriteria noncooperative games with strictly ordered criteria (in English); A. Copfert ,J. Seelander, chr. Tammer(Eds).Methods of multicriterial decision theory.Proceedings of the 6th workshop of the DGOR Working Group Multicriterial Optimisation and Desicion Theory. Alexisbad 1996. HANSEL-HOHENHAUSEN. Egelbach(Francfurt) Washington.-1997-pp69-86
11. Topchishvili A.,Beltadze G.- equilibrium situations in lexicographic noncoalition games (in English); Abstructs.Second International conference in multiobjective programming.M.O.P.G.P. 96. May 16-18,1996. Malaga, Spain.-p.39
12. Beltadze G.N.-The theoretical-game model from defend of the earthquare (in English);Multiple criteria and game problems under uncertainty.Abstructs.The fourth International Workshop.(8-14 september, 1996.) Moscow-1996.-p141.

1. Game Theory.
2. Mathematical Models of Social-political system.

Lexicographic strategic non-cooperative and cooperative games are introduced. In the lexicographic non-cooperative game the set of equilibrium situations can be described by means of sets of equilibrium situations of the corresponding non-cooperative subgames of the component. For the lexicographic cooperative game the concepts of sharing and c-Kernel are determined analogously to the scalar case. Results describing the structure of a set of sharing and c-Kernel are obtained.