Question

If there exists a saddle point for a given two person zero sum game problem, it implies that

the players are using?​

Answer 1

Answer:

mixed strategies will be the correct answer for mcqs.

Answer 2

If there exists a saddle point for a given two-person zero-sum game problem, it implies the following:

• The term "two-person zero-sum game" refers to a game in which each player's payout value is negative of the other player's payoff value. Coin matching, for example, is a two-person zero-sum game.
• If we referred to the two players as player I & player II in a two-person zero-sum game, they could see that each reward worth of player II is equivalent in magnitude yet contrary in sign towards the payout value of player I.
• As a result, if player I's payment value is known, player II's payoff value is also known. So, in a two-person zero-sum game, we usually express only Player I's reward values rather than both players' payoff values.
• The saddle point seems to be the location of the element that corresponds to the two players' best approach. In the example above, the game's value is Rs 2, and Player A's plan II is the best strategy for him, whereas player B's approach I is the right method for oneself. The saddle point is also at (2,1), which corresponds to the second row and first column.
• When a saddle point exists in pure strategies, each player that deviates from playing his share of the saddle will be worse off or at the very least the same. The Nash equilibrium idea is later defined as a solution concept.
• As equilibrium methods, row players would choose row I, and column players would choose column j. The saddle point reward is the guaranteed minimum payoff for both participants.