Research has not yet been undertaken on the optimal level of urbanization, notwithstanding the pioneering work of Au and Henderson (2006) on optimal urban concentration. This paper develops two-sector general equilibrium models of urbanization, with and without equity consideration,...

The socially optimal allocation has been regarded to be unspecifiable because of utility’s interpersonal incomparability, Arrow’s general possibility theorem, and other factors. This paper examines this problem by focusing not on the social welfare function but instead on the utility...

This paper examines the socially optimal allocation by focusing not on the social welfare function but instead on the utility possibility frontier in exogenous growth models with a heterogeneous population. A unique balanced growth path was found on which all of the optimality conditions of all...

This paper contributes to qualifying the Basu-Mitra approach to the problem of intergenerational social choice, by analyzing the impact of the structure of the feasible set of utilities on Banerjee's (2006) impossibility theorem. We prove that if the utilities that each generation can possess...

We provide an axiomatization of expected equally-distributed equivalent-utility social welfare functions in the context of Harsanyiʼs impartial observer theorem. For this family of social welfare functions, we show what additional axiom is necessary and sufficient for the observer to exhibit...

This paper investigates ethical aggregation of infinite utility streams by representable social welfare relations. We prove that the Hammond Equity postulate and other variations of it like the Pigou–Dalton transfer principle are incompatible with positive responsiveness to welfare...

For two independent principles of intergenerational equity, the implied discount rate equals the growth rate of real per-capital income, say 2%, thus falling right into the range suggested by the U.S. Office of Management and Budget. To prove this, we develop a simple tool to evaluate small...

This paper concerns ethical aggregation of infinite utility streams. Position i is typically interpreted as the endowment of generation i. We analyze the broad question: In order for the social welfare to increase, the interest of how many generations can be respected if we intend to be...

This paper contributes to qualifying the Basu-Mitra approach to the problem of intergenerational social choice, by analyzing the impact of the structure of the feasible set of utilities on Banerjee's (2006) impossibility theorem. We prove that if the utilities that each generation can possess...

We provide an axiomatization of generalized utilitarian social welfare functions in the context of Harsanyi's impartial observer theorem. To do this, we reformulate Harsanyi's problem such that lotteries over identity (accidents of birth) and lotteries over outcomes (life chances) are...