Abstract

We deduced that it is possible to define the Dilemma substance in the so-called dilemma games by the fact, a cooperative strategy cannot be dominant. This simple but clear definition can provide a firm way to a quantitative evaluation for the dilemma intensity in order to compare other types of dilemma games, for example, between Chicken and Leader Game. On the pathway of our deductive discussion, two important concepts concerning the Pareto Least and a parameterized expression procedure for the game structure were presented. In particular, the latter concept seems to be quite breakthrough to overview holistic 2×2 game world including Prisoners Dilemma, Chicken, Stag Hunt, Leader and Hero Game. And a practical explanation going through 2×2 game was presented about what we defined as the dilemma substance seems to be plausible from the viewpoint of the Replicator Dynamics.

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