On the equivalence of large individualized and distributionalized games
نویسندگان
چکیده
The theory of large one-shot simultaneous-play games with a biosocial typology has been presented in both the individualized and distributionalized forms— large individualized games (LIG) and large distributionalized games (LDG), respectively. Using an example of an LDG with two actions and a single trait in which some Nash equilibrium distributions cannot be induced by the Nash equilibria of the representing LIG, this paper offers three equivalence results that delineate a relationship between the two game forms. Our analysis also reveals the different roles that the Lebesgue unit interval and a saturated space play in the theory.
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