本稿においては、Poterba (1987,...

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We consider smoothed version of the empirical distribution functions from the finite population and the asymptotic behavior of the statistical functionals defined on the class of smoothed empirical distribution functions. Main parts of our results correspond to those of Fernholz (1991, 1993) in...

In an exchange economy with a continuum of traders, we establish the equivalence theorem on the core and the set of competitive allocations without assuming monotonicity of traders' preferences. Under weak assumptions we provide two alternative core equivalence theorems. The first one is for...

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We show that the value of a zero-sum Bayesian game is a Lipschitz continuous function of the players' common prior belief, with respect to the total variation metric (that induces the topology of setwise convergence on beliefs). This is unlike the case of general Bayesian games, where lower...

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We investigate a pure exchange atomless economy under uncertainty with emphasis on an epistemic point of view, where the traders are assumed to have a non-partitional information structure. We propose a generalized notion of rational expectations equilibrium for the economy and we show the core...