In game theory, there are several unexpected strategies that can be employed. One such strategy is the 'minimax' strategy, where a player minimizes the maximum possible loss. Another is the 'tit-for-tat' strategy, where a player responds in kind to an opponent's actions. There's also the 'zero-sum' strategy, where one player's gain is another's loss. Additionally, 'mixed strategy' involves randomizing moves to keep opponents guessing. Lastly, 'cooperative game theory' involves forming alliances and coalitions. These strategies, while unexpected, can be highly effective in different game scenarios.

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Game theory contributes to the field of strategic management by providing a mathematical framework for predicting the outcome of competitive situations. It allows managers to anticipate the reactions of competitors to different situations, which can help in devising strategies that can lead to a competitive advantage. For instance, in the example from the TV show Survivor, a contestant strategically 'won by losing', setting off a series of events that eliminated competition and eventually led to their victory. This demonstrates how understanding and anticipating the actions and reactions of others can lead to strategic success.

Game theory is widely used in various real-life scenarios. For instance, in economics, it is used to model competition and cooperation between intelligent rational decision-makers. In politics, game theory is used to model the behavior of voters, politicians, and governments. In computer science, it is used in artificial intelligence and cybernetics. In biology, it is used to understand and predict animal behavior. In social psychology, it is used to model social interactions and behaviors.

The principles of game theory can be used in decision making by anticipating the situation and predicting the outcome of a game. This involves studying the competition and their reaction to any situation that is presented. For instance, in the television show, Survivor, a candidate decided to 'win by losing', which set a series of events in motion that eliminated some of the competition, allowing that candidate to eventually win the game. Therefore, by using game theory, it is possible to even the score or come out on top as the winner in any contest.

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