"Interactive Decision Theory" would perhaps be a more descriptive name for the discipline usually called Game Theory.
Robert Aumann (2000) Collected Papers: Vol. 1. p. 47
I think game theory creates ideas that are important in solving and approaching conflict in general.Robert AumannAumann in: "Game theorists share Nobel prize" bbc.co.uk. Monday, 10 October 2005
I would like to suggest that we should perhaps change direction in our efforts to bring about world peace. Up to now all the effort has been put into resolving speci?c con?icts: India–Pakistan, North–South Ireland, various African wars, Balkan wars, Russia–Chechnya, Israel–Arab, etc., etc. I’d like to suggest that we should shift emphasis and study war in general.Robert Aumannp. 1 (War and peace (2005))
A person’s behavior is rational if it is in his best interests, given his informationRobert Aumannp. 2 (War and peace (2005))
The theory of repeated games is able to account for phenomena such as altruism, cooperation, trust, loyalty, revenge, threats (self-destructive or otherwise) – phenomena that may at ?rst seem irrational – in terms of the “sel?sh” utility-maximizing paradigm of game theory and neoclassical economics .Robert Aumannp. 3 (War and peace (2005))
The players in a game are said to be in strategic equilibrium (or simply equilibrium) when their play is mutually optimal : when the actions and plans of each player are rational in the given strategic environment – i.e., when each knows the actions and plans of the others.Robert Aumannp. 4 (War and peace (2005))
The strong equilibrium point f just described is one of "unrelenting ferocity" against offenders. It exhibits a zeal for meting out justice that is entirely oblivious to the sometimes dire consequences to oneself or to the other faitheful i.e., those who have not deviated.Robert Aumann"Acceptable Points in General Cooperative n-Person Games," in Contributions to the Theory of Games IV, Annals of Mathematics Study 40, edited by A. W. Tucker and R. D. Luce, Princeton University Press, 1959, pp. 287-324.
Repetition acts as an enforcement mechanism: It makes cooperation achievable when it is not achievable in the one-shot game, even when one replaces strategic equilibrium as the criterion for achievability by the more stringent requirement of perfect equilibrium.Robert Aumannp. 7 (War and peace (2005))
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