We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked … preferences. A rule that has played a central role in the analysis of the problem is the so-called uniform rule. Chun (2001 …

” problem of dividing an unproduced bundle, economies with production, economies with public goods, economies with single-peaked … preferences, economies with indivisible goods, and economies in which the dividend is a non-homogeneous continuum. We consider …

of agents with single-peaked preferences on the set of their potential shares. A rule proposes a vector of shares for …

-only social choice functions on the domain of single peaked preferences characterized by Moulin (1980)) since, under the domain of … symmetric single-peaked preferences, generalized median voter schemes can be disturbed by discontinuity points and remain …We characterize the class of strategy-proof social choice functions on the domain of symmetric single-peaked …