Working Papers
Fishery Management Under Multiple Uncertainty
Goldman School of Public Policy Working Paper (October 2004)
Among others who point to environmental variability and managerial uncertainty as causes of ¯shery collapse, Roughgarden and Smith (1996) argue that three sources of uncertainty are important for ¯sheries management: variability in ¯sh dynamics, inaccurate stock size estimates, and inaccurate implementation of harvest quotas. We develop a bioeconomic model with these three sources of uncertainty, and solve for optimal escapement based on measurements of ¯sh stock in a discrete-time model. Among other results we ¯nd: (1) when uncertainties are high, we generally reject the constant-escapement rule advocated in much of the existing literature, (2) inaccurate stock estimation a®ects policy in a fundamentally di®erent way than the other sources of uncertainty, and (3) the optimal policy leads to signi¯cantly higher commercial pro¯ts and lower extinction risk than the optimal constant-escapement policy (by 42% and 56%, respectively).
Consumer Demand with Several Linear Constriants: A Global Analysis
Goldman School of Public Policy Working Paper (October 2004)
Economists sometimes find themselves in the position of having to extend the
neoclassical model of consumer demand to settings where, in addition to the conventional budget
constraint, there are one or more additional linear constraints that restrict the consumer’s utility
maximization problem. Examples include point rationing [Tobin-Houthakker (1950-51), Tobin
(1952)]; models of time allocation where the time constraint cannot be collapsed into the budget
constraint [de Serpa (1971); de Donnea (1972); McConnell (1975); Lyon (1978) Larson and
Shaikh (2001)]; and multi-period portfolio allocation problems [Diamond and Yaari (1972)].
Without exception, the existing literature has focused on differential properties of the resulting
demand functions-i.e. issues such as the effect of rationing on demand elasticities, the Le
Chatelier--Samuelson Theorem, the generalization of the Hick-Slutsky decomposition, and other
comparative static results [see Kusumoto (1976), Chichilnisky and Kalman (1978), Hatta (1980),
Wan (1981) and the references cited above]. By employing some “tricks with utility functions”
in the spirit of Gorman (1976), I am able to obtain a global characterization of these demand
functions. Specifically, I develop an algorithm for deriving the demand functions that apply
when there are M linear constraints from those that apply when these is only a single constraint.
The algorithm permits one to derive all of the existing comparative static results in a simple and
compact manner. It also has some value for empirical demand analysis, because it shows how to compute the demand functions associated with maximization problems involving multiple linear constraint based on direct or indirect utility functions associated with known conventional demand functions.
The paper is organized as follows. Section 2 presents some preliminary results which are
needed for the main analysis, but are also of interest as "tricks” in their own right. Section 3
considers the utility maximization problem with two linear constraints, summarizes the existing
comparative static results, develops the new Global Representation Theorem, and shows how
this can be used to derive and sharpen the existing comparative static results. Section 4 considers
a utility maximization problem with three linear constraints and develops the analogous Global
Representation Theorem for the solution to this problem in terms of known demand functions
associated with a conventional single-constraint problem; the results developed here provide the
basis for extension to problems involving more than three linear constraints. Section 5 offers
some concluding observations.
The Impact of Global Warming on U.S. Agriculture: An Econometric Analysis of Optimal Growing Conditi
Goldman School of Public Policy Working Paper (October 2004)
The Temporal Resolution of Uncertainty and the Irreversibility Effect
Goldman School of Public Policy Working Paper (October 2004)
We define the irreversibility effect and demonstrate its importance in problems involving investment
decisions under uncertainty. We establish several analytical and numerical results that suggest both
that the effect holds more widely than generally recognized, and that an existing result (Epstein’s
Theorem) giving a sufficient condition for determining whether the effect holds can be applied more
widely than previously indicated, in particular to problems involving intertemporally nonseparable
benefit functions. We further show that a low elasticity of intertemporal substitution will however
result in failure of the effect, but that the effect will hold if the value of information increases in
the degree of flexibility.
Toward a Territorial Approach to Rural Development: International Experiences and Implications for M
Goldman School of Public Policy Working Paper (July 2004)
The persistence of rural poverty, concentration in rural areas of the most extreme forms of
poverty, and rising inequality in the distribution of rural incomes remain vexing aspects of rural
development in Latin America, in spite of expensive programs intended at reducing poverty and inequality.
Mexico is no exception to this observation. This widespread failure calls upon exploring alternative
approaches to rural development that may have greater chances of success. Taking an approach that
distinguishes between marginal and favorable areas, and that seeks to integrate rural and urban activities in
a territorial dimension centered around regional economic projects and the economic incorporation of the
poor is one such option that deserves further consideration. It has been introduced in Mexico through the
Microregions Strategy. While it is too early to evaluate this program, we derive lessons from international
experiences that provide guidelines to assess the Mexican strategy.
We do this by first characterizing the recent evolution of rural poverty and inequality in Latin
America. We then proceed to explore a set of qualitative changes in rural poverty that need to be taken into
account in a new approach. This is complemented by analyzing a set of new opportunities for rural poverty
reduction that should also be factored into a new approach. On the basis of international experiences with
territorial development, we derive a set of principles for success of the approach. We use these principles
to discuss the methodology followed in Mexico for the Microregions Strategy.
Emissions pathways, climate change, and impacts on California
Goldman School of Public Policy Working Paper (June 2004)
The magnitude of future climate change depends substantially on
the greenhouse gas emission pathways we choose. Here we
explore the implications of the highest and lowest Intergovernmental Panel on Climate Change emissions pathways for climate
change and associated impacts in California. Based on climate
projections from two state-of-the-art climate models with low and
medium sensitivity (Parallel Climate Model and Hadley Centre
Climate Model, version 3, respectively), we find that annual temperature increases nearly double from the lower B1 to the higher
A1fi emissions scenario before 2100. Three of four simulations also
show greater increases in summer temperatures as compared with
winter. Extreme heat and the associated impacts on a range of
temperature-sensitive sectors are substantially greater under the
higher emissions scenario, with some interscenario differences
apparent before midcentury. By the end of the century under the
B1 scenario, heatwaves and extreme heat in Los Angeles quadruple
in frequency while heat-related mortality increases two to three
times; alpinesubalpine forests are reduced by 50–75%; and Sierra
snowpack is reduced 30–70%. Under A1fi, heatwaves in Los
Angeles are six to eight times more frequent, with heat-related
excess mortality increasing five to seven times; alpinesubalpine
forests are reduced by 75–90%; and snowpack declines 73–90%,
with cascading impacts on runoff and streamflow that, combined
with projected modest declines in winter precipitation, could
fundamentally disrupt California’s water rights system. Although
interscenario differences in climate impacts and costs of adaptation
emerge mainly in the second half of the century, they a
The Political Economy of Intellectual Property Treaties
Goldman School of Public Policy Working Paper (June 2004)
Intellectual property treaties create two types of obligations: for national treatment of foreign inventors and for certain harmonized protections. I investigate both the incentive to join such treaties and the incentive to harmonize. As compared to an equilibrium in which the countries' policy makers make independent choices, harmonization will generally strengthen protections. this analysis recognizes that public sponsorship is sometimes an efficient alternative to intellectual property. However, there are noinstitutions to haronize public spending, and there are no international machanisms to repatriate the spillovers it generates. As a consequence, there may be too little public sponsorship and too much intellectual property. A country's inclination to strengthen harmonized protections will depend both on its innovativeness (positively) and on the size of its domestic market (negatively).
Procuring Knowledge
Goldman School of Public Policy Working Paper (May 2004)
There is growing public interest in alternatives to intellectual property including, but not limited to, prizes and government grants. We collect various
historical and contemporary examples of alternative incentives, and show when they are superior to intellectual property. We also give an explanation for why federally funded R&D has moved from an intramural activity to largely a grant process. Finally, we observe that much research is supported by a hybrid system of public and private sponsorship, and explain why this makes sense in some circumstances.