590 likes | 704 Views
The Iterated Prisoner ‘ s Dilemma. Darwin: The small strength and speed of man, his want of natural weapons, etc., are more than counterbalanced ... by his social qualities, which led him to give and receive aid from his fellow men. Mutual aid. The one-shot PD. Adam Smith (1723-1790).
E N D
Darwin: The small strength and speed of man, his want of natural weapons, etc., are more than counterbalanced ... by his social qualities, which led him to give and receive aid from his fellow men.
Adam Smith (1723-1790) • …by pursuing his own interest, man frequently promotes that of the society more effectually than when he really intends to promote it…
Adam Smith: Man intends only his own gain, and he is in this, as in many other cases, led by an invisible hand to promote an end which was no part of his intention. Joseph Stiglitz: The reason that the invisible hand often seems invisible is that it is often not there.
The Good, the Bad and the Discriminator • ALLC • ALLD • TFT • frequencies x,y,z (x+y+z=1)
The fearsome four • Heteroclinic network • A = Tit or Tat • B = Firm But Fair • C = Bully • D = ALLD
Win-Stay, Lose-Shift WSLS • Simple learning rule • stable, error-correcting • but needs retaliator to prepare the ground
A new breath: Press and Dyson PNAS 2012 AMS homepage (‚Maths in the Media‘) ‚The world of game theory is currently on fire...‘ ‚this is a monumental surprise...‘ ‚the emerging revolution of game theory...‘