Generalization of the Social Dilemma Models: On Umino's Classification

This paper aims to develop the general models of social dilemmas to which the existing specified models can be relatedsystematically. At first, Umino's classification of dilemma models will be revised. Umino set three factors; (1) resource unit, (2) deterministic vs. probabilistic, and (3) protection (take-some) vs. provision (give-some). I propose the notion of unit operation instead of resource unit, from where some unit operation conditions (or patterns) will be set. It is also nessesary that the second factor be interpreted in relation to the provision points of the commons. Combining these revised factors and the third one, we get 12 types of dilemma models. for each of 8 types among them, I develop the general models, considering three factors mentioned above and the relationship among these models (including the existing ones). in this process, I will show that some existing models are formulated inappropriately, and that there are some special cases where the models represent unintendedly the second order social dilemma problem.