For utility maximization problems under proportional transaction costs, it has been observed that the original market with transaction costs can sometimes be replaced by a frictionless shadow market that yields the same optimal strategy and utility. However, the question of whether or not this indeed holds in generality has remained elusive so far. In this paper we present a counterexample whic...

This paper examines the equilibrium growth effect of money/inflation within a standard one-sector AK model of endogenous growth with the most generalized cash-in-advance constraint and wealth-enhanced preferences for social status. We show that the sign for the correlation between money and output growth depends crucially on (i) the liquidityconstrained ratio of consumption to investment expend...

A shadow price is a process S̃ lying within the bid/ask prices S, S of a market with proportional transaction costs, such that maximizing expected utility from consumption in the frictionless market with price process S̃ leads to the same maximal utility as in the original market with transaction costs. For finite Ω, this note provides an elementary proof for the existence of such a shadow price.

Our objective is to assess personal income under perfect competition, when factors are rewarded according to their productivities, and to contrast the ensuing distribution with the status quo. Competition will yield winners and losers, both in terms of factor claims and in terms of regions or provinces. Income differences will press people to migrate. To analyze this, we divide China into 30 in...

58. Sustainable development goes beyond a static framework of correcting environmental externalities , deficient markets and inadequate property rights. It is very much concerned with the availability of environmental and natural resources in the future. The problem may be particularly acute in developing countries that have high discount rates due to the scarcity of capital and prevalence of p...

This paper studies maximin paths in the context of a standard exhaustible resource model. Under the assumption that the resource is important in production, it establishes the efficiency and uniqueness of non-trivial maximin paths. It uses these results to study the nature of the maximin value and policy functions. The value function is shown to be differentiable with respect to the initial res...

Constant shadow prices indicate that gains in expected votes with respect to marginal shifts in transfers should be equal across jurisdictions. The ratio of the scalars (λ/μ) holds constant, while exhausting the budget, only if each party promises the same amount to any given jurisdiction (taj = tbj = Yj ∀ j). Voter consumption is thus identical under either party and implies tj = 0. By the tra...

It is well known that in linear programming, the optimal values of the dual variables can be interpreted as shadow prices (marginal values) of the right-hand-side coefficients. However, this is true only under nondegeneracy assumptions. Since real problems are often degenerate, the output from conventional LP software regarding such marginal information can be misleading. This paper surveys and...

A shadow price is a process S̃ lying within the bid/ask prices S, S of a market with proportional transaction costs, such that maximizing expected utility from consumption in the frictionless market with price process S̃ leads to the same maximal utility as in the original market with transaction costs. For finite probability spaces, this note provides an elementary proof for the existence of suc...