Abstract
In this paper, we investigate whether the farmers should get agriculture insurance or not under the uncertainty by the view of the game theory and decision theory. For this purpose, we create a zero-sum matrix game against nature using the real data. We solve the matrix game with Wald maximin criterion and Savage regret criterion, separately. Then, we resolve this game, while the mixed strategies are allowed, by using the well-known method in the literature for the solution of the zero-sum matrix games. Later, we demonstrate the game in the different aspect with the approach only consists of the matrix norms of the payoff matrix, called the matrix norm approach (MNA), under the same condition. Finally, we show the consistency of the results obtained by using MNA and the other methods.
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