Cooperation solution

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The term collaboration solution within the framework of game theory describes solutions for groups in repeated games that are based on cooperation. The opposite of cooperation is non-cooperation.

A fundamental problem in the development of cooperation is to be seen in the existence of competition . Because cooperation is difficult to achieve if all parties are competing to obtain the best conditions or the greatest benefits.

Cooperative behavior can be influenced and promoted by various factors. Further key words in terms of cooperation solutions based on game theory are therefore:

If the prisoner's dilemma is repeated, it is possible that the decisions of the opponent in the previous rounds are included in the decision as to whether the next round will also cooperate. Furthermore, behind every good plan that encourages cooperation, there is usually a mechanism that punishes cheaters. As part of the penalty, there are various methods of influencing the player in such a way that he stops cheating on his own. In this sense, the punishment serves to promote cooperation.

The dominant strategy is a procedure that is usually most useful regardless of what the opponents are doing. In sequential games, it is possible to establish a Nash equilibrium using cooperation . A Nash equilibrium is a strategy profile if the strategy of each individual player is a best answer to the strategies of the rest of the players. But even a simple rule can well meet the requirements of deterrence through punishment: Tit for tat . This strategy involves first cooperating and then imitating the behavior of the opponent from the previous round. However, if a player intentionally behaves in a non-cooperative manner in order to generate the greatest benefit for himself, then one can speak of opportunistic behavior.

See also

supporting documents

  1. ↑ See Avinash K. Dixit, Barry J. Nalebuff: Game Theory for Beginners. Strategic know-how for winners , p. 91
  2. ↑ a b cf. Thomas Riechmann: Spieltheorie , p. 34
  3. ↑ Avinash K. Dixit , Barry J. Nalebuff: Game Theory for Beginners, pp. 97-101

literature

  • Avinash K. Dixit, Barry J. Nalebuff: Game Theory for Beginners. Strategic know-how for winners . Schaeffer-Poeschel Verlag, Stuttgart 1997, ISBN 3-7910-1239-8 .
  • Thomas Riechmann: Game Theory . 2nd Edition. Verlag Franz Vahlen, Munich 2008, ISBN 978-3-8006-3505-4