Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers". Game theory is mainly used in economics, political science, and psychology, as well as logic, computer science and biology. Originally, it addressed zero-sum games, in which one person's gains result in losses for the other participants. Today, game theory applies to a wide range of behavioral relations, and is now an umbrella term for the science of logical decision making in humans, animals, and computers.

Modern game theory began with the idea regarding the existence of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was followed by the 1944 book "Theory of Games and Economic Behavior", co-written with Oskar Morgenstern, which considered cooperative games of several players. The second edition of this book provided an axiomatic theory of expected utility, which allowed mathematical statisticians and economists to treat decision-making under uncertainty.

This theory was developed extensively in the 1950s by many scholars. Game theory was later explicitly applied to biology in the 1970s, although similar developments go back at least as far as the 1930s. Game theory has been widely recognized as an important tool in many fields. With the Nobel Memorial Prize in Economic Sciences going to game theorist Jean Tirole in 2014, eleven game-theorists have now won the economics Nobel Prize. John Maynard Smith was awarded the Crafoord Prize for his application of game theory to biology.

What are the answers to this following set of questions:

1. What was developed in the fifties?
2. By one person?
3. How then?
4. What was it put with in the seventies?
5. For the first time?
6. What is the definition of this topic?
7. How many applications is it practiced with?
8. And they are?
9. What did it initially work as?
10. Who proofed it?
11. Did he write a publication?
12. Called?
13. When did he write it?
14. Did he write it by himself?
15. Who helped?
16. How many people who work with this concept have received a special achievement?
17. What was it?
18. Any other special achievements?
19. What was it?
20. Who got it?
1. Game theory
2. no
3. by many scholars
4. biology
5. no
6. the study of mathematical models of conflict and cooperation between intelligent rational decision-makers
7. at least 6
8. economics, political science, psychology, logic, computer science and biology
9. zero-sum games
10. John von Neumann
11. yes
12. Theory of Games and Economic Behavior
13. 1944
14. no
15. Oskar Morgenstern
16. eleven
17. the economics Nobel Prize
18. yes
19. the Crafoord Prize
20. John Maynard Smith