The Complexity of Cooperation
Encyclopedia
The Complexity of Cooperation is the sequel to The Evolution of Cooperation
The Evolution of Cooperation
The evolution of cooperation can refer to:* the study of how cooperation can emerge and persist as elucidated by application of game theory,* a 1981 paper by political scientist Robert Axelrod and evolutionary biologist W. D...

. It is a compendium of seven articles that previously appeared in journals on a variety of subjects. The book extends Axelrod's method of applying the results of game theory, in particular that derived from analysis of the Prisoner's Dilemma
Prisoner's dilemma
The prisoner’s dilemma is a canonical example of a game, analyzed in game theory that shows why two individuals might not cooperate, even if it appears that it is in their best interest to do so. It was originally framed by Merrill Flood and Melvin Dresher working at RAND in 1950. Albert W...

 (IPD) problem, to real world situations.

Prisoner's Dilemma findings

Axelord explains the Tit for tat
Tit for tat
Tit for tat is an English saying meaning "equivalent retaliation". It is also a highly effective strategy in game theory for the iterated prisoner's dilemma. It was first introduced by Anatol Rapoport in Robert Axelrod's two tournaments, held around 1980. An agent using this strategy will initially...

 (TFT or T4T) strategy emerged as the most robust option in early IPD tournaments on computer. This strategy combines a willingness to cooperate with a determination to punish non-cooperation. In these articles, however, he shows, that under more complex circumstances, such as the possibility of error, strategies that are a little more cooperative or a little less punitive do even better than TFT. Generous TFT, or GTFT, cooperates a bit more often than TFT, while Contrite TFT or CTFT defects less frequently.

Applications

Axelrod applied various models related to IPD to a variety of situations, drawing conclusions from these simulations about the ways in which groups form, adhere, oppose or join other groups, and other topics in the fields of genetic evolution, business, political science, military alliances, wars, and more. He has added introductions to these articles explaining what real-world issues drove his research.

Critical response

Philosopher and political economist Francis Fukuyama
Francis Fukuyama
Yoshihiro Francis Fukuyama is an American political scientist, political economist, and author. He is a Senior Fellow at the Center on Democracy, Development and the Rule of Law at Stanford. Before that he served as a professor and director of the International Development program at the School of...

, writing for the Foreign Affairs
Foreign Affairs
Foreign Affairs is an American magazine and website on international relations and U.S. foreign policy published since 1922 by the Council on Foreign Relations six times annually...

, praises the book for showing that realist models, which assume that in situations lacking a single sovereign actor that anarchy will necessarily result, are too simplistic. Fukuyuma, expresses concern, however, that the game theory approaches aren't sufficiently complex to model real international relations, because they a world with large numbers of simple actors. Fukuyama holds that, instead, the real world consists of a small number of highly complex actors, thus potentially limiting the applicability of Axelrod's analysis.
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