By L.L. Ivanov
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Extra info for Algebraic Recursion Theory
This seems to be the most appealing equilibrium from a theoretical perspective. HIt can also be shown that asymmetric equilibria exist with some players contributing, some players not contributing and the rest of the players randomizing with positive probability (cf. Gradstein and Nitzan, 1990, footnote 5). 38 Game theoretic models may also be judged in their ability to predict changes in behavior as a result of changes in the environment. Here, the effects of three different environmental changes will be considered: a change in the value of the public good, a change in group-size and a change in the variability of the group-composition.
That means that a part p(y/) of the population, for example the part consisting of competitors and individualists, transforms the payoff matrix with the utility component Yh with y/
Although this model seems to be more plausible than former models on the voluntary provision of public goods in the sense that it allows for differences in preferences, a serious drawback is that the coordination problem of the players is not solved but severed. Another obvious drawback is that the model requires more rationality of the players than may be assumed to be realistic. It would be interesting to allow players to make errors. This approach is proposed in the next section, where McKelvey and Palfrey's concept of Quanta!
Algebraic Recursion Theory by L.L. Ivanov