The document discusses the topic of game theory. It defines game theory as a branch of applied mathematics used in social sciences like economics to model strategic interactions between parties. It notes that game theory is a tool used by players to understand competitor strategies. The document then outlines several methods of game theory, including minimax-maxmin principal, mixed strategies, and zero-sum games. It provides examples to illustrate the minimax-maxmin principal and mixed strategies methods.

1. GAME THEORY
Presentation by
Dinesh kumar
Swami prasad

2. What is game theory
• Game theory is a branch of applied
mathematics that is used in the social
sciences, most notably in economics, as well
as in biology (most notably evolutionary
biology and ecology), engineering, political
science, international relations, computer
science, and philosophy.

3. GAME THEORY
Game theory is a tool used by the players to
unerstand the stratagy Of a competitor player
Used by business Organisations to defeat their
competitors

4. METHODS
MINIMAX-MAXMIN PRINCIPAL
MIXED STRATEGY OR ODDS METHOD
DOMAINS METHOD
EQUAL GAME THEORY
GRAPHIC GAME THEORY

5. 1. MINIMAX-MAXMIN PRINCIPAL
 SOLVED THE FOLLOWING GAME(THEORY)PRBLEM USING
MINIMAX-MAXMIN PRINCIPAL PLAYER B=MAXMIN B= LOSS
PLAYER B MINIMAX A=PROFIT
VALU OF GHAME=6
A=A2
B=B2
B1 B2 B3
A1 9 2 2 2
A2 8 6 6 6
A3 6 4 4 4
9 6 66
6

6. 2
B1 B2 B3
A1 4 1 -3 -3
A2 3 2 5 2
A3 0 1 6 0
4 2 5
MAXMIN
MAXNIN

7. MIXED STRATEGY
• A mixed strategy game exists when
there is no saddle point. Each player will
then optimize their expected gain by
determining the percent of time to use
each strategy.

8. Mixed Strategies
Player 2
Head Tail
Player 1
Head 1, -1 -1, 1
Tail -1, 1 1, -1

9. TYPES OF GAME
TWO PERSON GAME
AN PERSON GAME

10. TWO PERSON GAME
• TWO PLAYER IN A GAME AND EACH PLAYER
HAVE BOUGHT SET OF COURSE OF GAME
AND IT IS CALLED TWI PERSON GAME

11. AN PERSON GAME
• IN CASE AN PERSON GAME IN CASE MORE
TWO PERSON ARE INVOLED IN GAME EACH
HAVING A SET OF COURSE OF ACTION

12. ZERO SUM GAME
• ZERO SUM GAME ONE IN WHICH SOME OF
THE^PAYMENT TO ALL THE COPMITITER FOR
EVERY POSIBLE OUT COME OF THE GAME

14. TWO PERSON ZERO SUM GAME
• A GAME IN WHICH ALREBINK SUM OF THE GAME
LOSES OF TWO PLAYER PLAYING A IS ZERO IS
CALLED A TWO PERSON ZERO SUM GAME
• OPTION 1 OPTION 2
1 2
1 50 -50
2 -50 50