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In this paper, a particular type of political game, one involving an attempt to hide a conspiracy, is analyzed. In classical game theory, parties or players have partly or completely conflicting interests. A game is developed, starting from an initial stage where the involved parties might not be in a conflict whatsoever. However with the development of the game, conflicts might arise and interests might diverge. This change can be reflected upon the game in subsequent stages with the introduction of fuzzy factors like global payoffs and motivation. The transition from an initial game to the final game using these fuzzy factors is demonstrated in this paper using the Watergate conspiracy affair as a case study.