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Dive into the fascinating world of game theory, a mathematical framework for analyzing strategic interactions among rational decision-makers. This exploration covers essential concepts such as zero-sum games, non-zero-sum games, Nash equilibria, and the roles of cooperation and competition. Learn about significant contributors to the field, including John von Neumann, and how game theory applies in various disciplines including economics, political science, and psychology. Equip yourself with the knowledge to navigate complex scenarios involving multiple agents striving for optimal outcomes.
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1. ????? ?????????Game Theory ?????
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2. ????? ??????? ????? ????????? ????? ????? ??????? ????? ??? ?????? ?? ?? ??????? ???? ?????? ????? ?????????? ?????? ??????? ???? ?????, ??? ????? ????? ?????? ??????? ???? ?? ??????? ????? ?? ??? ??? ??????, ??? ????? ?????? ?????? ?? ????? ??? ?????? ?????? ???, ?? ????? ???? ?????? ???????? ???? ?????? ?????????.
???? ??? ??? ?????? ?????? ????? ????? ?????? ???? ?????? ??????? ?? ?? ??? ?????? ?????????, ?????? ?????? ??? ??????? ????? ?????? ???? ????????? ???????, ???? ???? ????? ?? ???? ?????????? ?????? ?? ????? ????? ????. ???? ????? ???????? ??? ????? ?????????????? ???? ?????? ?? ?????.
3. ????? ??????? ????? ????????? ???? ????? ??????? ????? ?????? ???? ????????????? ????? ??? ???? ???????, ??? ??????? ???? ?????? ?? ????? ??? ???? ???? ????????????? ???? ???? ??????. ????? ??????? ?? ????? ???? ????? ???????? ?????????.
??? ??? ??? ??????? ?? ???? ?????? ????? ?????????.
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??? ???? ??????? ?? ????????????? ???? ???? ????? ???? ?????? ??? ???? ?? ?? ????? ?????? ??? ???? ??.
4. ????? ??????? ????? ????????? ???? ?? ???????? ????? ???? ???? ?????????? ??????? ??? ??????, ?????? ??? ???? ?????? ?? ??? ???? ????? ???????.
?????? ????? ???? ????? ???????? ?????? ??? ?????? ??? ??????? ??????? ???? ???????????? ??????? ?? ?????? ?????? ????? ?? ?????? ??????? ????? ????, ????? ???? ???? ???? ???? ????? ????? ?? ????? ????? ???????
??? ??? ???? ???????? ???? ?? ?????? ?? ????????, ??? ??? ??????? ?? ????? ??????? ???????? ???????.
???? ??? ???? ?????? ??????? ?? ?????????? ??? ?????? ????? ???? ???? ???? ??? ????. ??? ???? ??????? ???????? ?? ??? ??? ?????? ?? ????? ???? ?????? ??????? ???????? ?? ???? ??? ??? ??????????, ?????? ???? ?????? ??????? ???????? ?? ???? ??? ???????? ?????.
5. ????? ??????? ????? ????????? ??? ????? ??? ?????? Von Numman ???????? ???????? ?????? ????????? ?? ??? 1928 ?????? ???? ????? ?? ???? ???? ??? 1944.
?????? ???????? ?? ???? ?? ????? ??? ????? ?? ???? ?? ????? ?????? ????? (???????????) ??????, ?????? ????? ???????? ??? ??????? ??????? ??????
6. ????? ???????? ????? ?? ?????? ?? ??????? ???????:
1- ???? ??? ????? ?? ?????????? ????? ??????- ????? ????? ????????,
???? ??? ??? ???????? ????? ???? ???? ????? ????????? ???????? Two Persons,
??? ??? ??? ??? ???????? ???? ?? ????? ???? ???? ????? ????????? ??? ???????? ( N Persons).
2- ???? ?????? ????? ?? ??????? ???? ???? ???????? ???? ???? ???????, ?? ?????? ???? ????? ?? ???? ???? ??????? ?????? ????????. ???????? ???? ?????? ???? ???? ????? ??? ?????? ???????? ??????? ??????? ?????? ????.
7. ????? ???????? 3- ?? ?????? ?? ????????, ???? ??? ????? ????? ????? ??????? ?? ?? ???? ???? ????? ?????,
????????? ???? ???? ???? ????? ???????? ????? ????? ????? ???????? ???? ????? ???????? ??????? Zero Sum Game.
????????? ???? ????? ???? ??????? ?? ??????? ??? ????? ?? ???????? ???? ????? ???????? ???????? ??? ??????? Non Zero Sum Game.