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Optimum Product Diversity and the Incentives for Entry in Natural Oligopolies

Quarterly Journal of Economics 1987 102(3), 595
This paper concerns the classification of biases in the set of produced varieties in a monopolistically competitive equilibrium in the natural oligopoly setting. That is, we analyze the relationship between the set of produced goods in equilibrium when fixed costs are small and the set of produced goods by a social planner when fixed costs equal zero. It is shown that if all of the goods are substitutes, there are never too few varieties, and there may be too many. Conversely, if the goods are all complementary, there are never too many, and there may be too few.

A Competitive Model of Commodity Differentiation

Econometrica 1984 52(2), 507
[This paper develops a general, competitive model of commodity differentiation. The structure analyzed is sufficiently rich to admit the basic structures of many of the common models of commodity differentiation as special cases. Thus, the model provides a unifying framework within which alternative formulations of strategic product choice can be compared. It is shown that competitive equilibria exist under only mild restrictions on the underlying economic structure and vary continuously with endowments. Finally, some results relevant to all models of commodity differentiation featuring price taking consumers are presented. The results are shown to point to some potentially important methodological restrictions.]

The Characteristics Model, Hedonic Prices, and the Clientele Effect

Journal of Political Economy 1988 96(3), 551-567
In this paper, the characteristics model of Lancaster is reconsidered. It is shown by example that equilibrium prices need not be linearly decomposable. It does follow that equilibrium prices must be a convex function of characteristics, however. Further, it is shown that this fact holds independent of the form of firm competition (e.g., perfect or monopolistic). Finally, the predictions of the theory are discussed in the context of two empirical examples.

The Characteristics Model, Hedonic Prices, and the Clientele Effect

Journal of Political Economy 1988 96(3), 551-567
In this paper, the characteristics model of Lancaster is reconsidered. It is shown by example that equilibrium prices need not be linearly decomposable. It does follow that equilibrium prices must be a convex function of characteristics, however. Further, it is shown that this fact holds independent of the form of firm competition (e.g., perfect or monopolistic). Finally, the predictions of the theory are discussed in the context of two empirical examples.

A Convex Model of Equilibrium Growth: Theory and Policy Implications

Journal of Political Economy 1990 98(5, Part 1), 1008-1038
The authors' aim in this paper is to exposit a convex model of equilibrium growth. The model has two features that distinguish it from most other work on the subject: first, the model is convex on the technological side and, second, fixed factors are explicitly included. Existence and characterization results are provided along with some preliminary analyses of taxation and international trade policies. It is shown that the long-run growth rate in per capita consumption depends, in the natural way, on the parameters describing tastes, technology, and policies. It is demonstrated that, in a free-trade equilibrium with taxation, national growth rates of consumption and output need not converge. Copyright 1990 by University of Chicago Press.

A Convex Model of Equilibrium Growth: Theory and Policy Implications

Journal of Political Economy 1990 98(5), 1008-1038
Our aim in this paper is to exposit a convex model of equilibrium growth. The model has two features that distinguish it from most other work on the subject: first, that the model is convex on the technological side, and second, that fixed factors are explicitly included. Existence and characterization results are provided along with some preliminary analyses of taxation and international trade policies. It is shown that the long-run growth rate in per capita consumption depends, in the natural way, on the parameters describing tastes, technology, and policies. It is demonstrated that in a free-trade equilibrium with taxation, national growth rates of consumption and output need not converge.

The Coordination Problem and Equilibrium Theories of Recessions

American Economic Review 1992 82(3), 451-471
In this paper, we build on the recent literature on coordination problems to construct a model in which there is potential for low-output equilibrium. We show that the conditions that guarantee interior Walrasian equilibria in conjunction with a continuity restriction on strategies rule out equilibria with extremely low levels of activity (zero activity), which is a distinguishing feature of many existing models. We study the case of separability and show that there is no rationing and, hence, no equilibrium unemployment. In addition, in a numerical example, we find that there is a unique symmetric equilibrium.

The Economics of Split-Ticket Voting in Representative Democracies

American Economic Review 1997 87(5), 957-976
In U.S. elections, voters often vote for candidates from different parties for president and Congress. Voters also express dissatisfaction with the performance of Congress as a whole and satisfaction with their own representative. We develop a model of split-ticket voting in which government spending is financed by uniform taxes. The benefits from this spending are concentrated. While the model generates split-ticket voting, overall spending is too high only if the president's powers are limited. Overall spending is too high in a parliamentary system. Our model can be used as the basis of an argument for term limits.

Optimal Taxation in Models of Endogenous Growth

Journal of Political Economy 1993 101(3), 485-517
The authors study the problem of optimal taxation in three infinite-horizon, representative-agent endogenous growth models. The first model is a convex model in which physical and human capital are perfectly symmetric. The authors' second model incorporates elastic labor supply through a Lucas-style technology. Analysis of these two models points out the danger of assuming that government expenditures are exogenous. In their third model, the authors include government expenditures as a productive input in capital formation, showing that the limiting tax rate on capital is no longer zero. In numerical simulations, they find similar effects on growth and welfare in all three models. Copyright 1993 by University of Chicago Press.