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We consider a pure exchange economy with externalities. We adopt a cooperative approach to equilibrium analysis, allowing each individual to cooperate with others and to form coalitions. Individual preferences are affected by the consumption of all other agents in the economy, and the consumption set of each agent is affected by the coalition to which he/she belongs. Following Montesano (2002), we introduce a measure of social loss with respect to the γ-core and α-core of the economy which completely characterizes the corresponding core allocations.

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We investigate pairwise stochastic comparisons of stationary solutions to the linear recurrence Xt+1=AtXt+Bt, where At and Bt are non-negative random variables. We establish novel order-preserving properties, which enable us to obtain comparison theorems about well-known measures of conditional size, tail variability and skewness across probability distributions. While useful in studies of ergodic wealth accumulation processes and the persistence of inequality, our results can fruitfully be exploited to conduct comparative statics exercises in structural models entailing Kesten-type reduced-form representations. An application of our analysis to a dynamic asset accumulation model uncovers the qualitatively similar effects of capital income and earnings taxation on expected wealth concentration over higher quantiles as well as on conditional upper tail dispersion of wealth holdings, qualifying previous results that solely rely on the determination of Pareto exponents.