WEEK3 Discussion Question No.2

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Q Describe a favorite recreational activity in terms of its iterative components, such as solving a

crossword or Sudoku puzzle or playing a game of chess or backgammon. Also, mention any

recursive elements that occur.

The most widely studied repeated games are games that are repeated a possibly infinite number

of times for example Repeated prisoner's dilemma. This can be interpreted as a "social norm"

and one essential part of infinitely repeated games is punishing players who deviate from this

cooperative strategy. The punishment may be something like playing a strategy which leads to

reduced payoff to both players for the rest of the game (called a trigger strategy).

Iterated games have the following properties-

• Utilizes a base or stage amusement typically a well known 2-man diversion, (for

example, rock,paper,scissors).

• Regularly includes harmony properties.

• Partitioned into limited and vast recreations.

• Single stage or single shot amusements imply that they are not rehashed.

• Regularly depends vigorously on direct variable based math.

The prisoner's dilemma is a key issue in amusement hypothesis that exhibits why two individuals

may not participate regardless of the possibility that it is in both their best hobbies to do so. It

was initially encircled by Merrill Flood and Melvin Dresher working at RAND in 1950. Albert

W. Tucker formalized the diversion with jail sentence adjustments which provided for it the

"detainee's problem" name (Poundstone, 1992).

Example

Two suspects are arrested by the police. The police have insufficient evidence for a conviction,

and, having separated the prisoners, visit each of them to offer the same deal. If one testifies for

the prosecution against the other (defects) and the other remains silent (cooperates), the defector

goes free and the silent accomplice receives the full 10-year sentence. If both remain silent, both

prisoners are sentenced to only six months in jail for a minor charge. If each betrays the other,

each receives a five-year sentence. Each prisoner must choose to betray the other or to remain

silent. Each one is assured that the other would not know about the betrayal before the end of the

investigation. How should the prisoners act?

In the classic form of this game, cooperating is strictly dominated by defecting, so that the only

possible equilibrium for the game is for all players to defect. No matter what the other player

does, one player will always gain a greater payoff by playing defect. Since in any situation

playing defect is more beneficial than cooperating, all rational players will play defect, all things

being equal.

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Q Describe a favorite recreational activity in terms of its iterative components, such as solving a crossword or Sudoku puzzle or playing a game of chess or backgammon. Also, mention any recursive elements that occur.? The most widely studied repeated games are games that are repeated a possibly inf ...
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