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Pricing under Spatial Competition and Spatial Monopoly: Reply

Econometrica 1980 48(5), 1329
IN A RECENT PAPER D. R. Capozza and R. Van Order (C.V.) [1] claim to show that there exist conditions under which a competitive firm in industry equilibrium in a spatial environment will charge a higher mill price than a spatial monopolist. This conclusion seems contrary to our intuition and consequently the conditions under which it arises should be made very clear. This paper argues that the C.V. result is not necessarily correct. In particular, there is an apparent error in the three sentences following equation (27). The positive roots of equation (27) are both possible candidates for equilibrium price.2 The difficulty is that there are no grounds for choosing between the two roots within the structure of the model. Capozza has argued, in correspondence, that the smaller root is inappropriate because demand is negative. However, demand is only negative at the border of the market area and one could equally well argue that this is a case of natural monopoly, induced by the cost structure. These remarks are made within the assumptions that C.V. makq in their paper. We can, however, shed further light on the matter by introducing some new elements. In particular, (i) we explicitly impose some simple dynamics on the system, and (ii) we use consumer surplus as a measure cf welfare. (i) Let us suppose that firms are price setters and assume a zero conjectural variation. Under these conditions it is not difficult to show that the larger positive root is stable and the smaller is unstable. (ii) The total of consumer surplus at price m and market radius Do is given by

"Capital Investment and Financial Decisions."

Journal of Finance 1980 35(1), 203
CAPITAL BUDGETING. The Goal of the Firm. Capital Budgeting: An Overview. The Economic Evaluation of Investment Proposals. Net Present Value Versus Internal Rate of Return. Using Cash Flows to Evaluate Investments. Traditional Measures of Investment Worth. Managing Working Capital. RISK AND UNCERTAINTY. Foundations of Risk Analysis. Measuring Risk. Applications of Risk Analysis. Decreasing Risk by Diversification: The Portfolio Approach. The Capital Asset Pricing Model and Arbitrage Pricing Theory. LONG-TERM FINANCIAL DECISIONS. Financial Leverage. Capital Structure and Valuation. Bankruptcy Risk and the Choice of Financial Structure. Defining the Cost of Capital. Measuring the Cost of Capital. Dividend Policy. Options and Futures. The Lease or Buy Decision. Mergers. International Financial Management. Appendices. Index.

Intelligence and Family Size: Another Look

The Review of Economics and Statistics 1980 62(2), 241
gence on fertility and of household size on offspring's intelligence remain the subject of public debate. Most recently, attention has centered on the decline in Scholastic Aptitude Test scores and the possible effects of the postwar baby boom. These concerns suggest that economists would do well to introduce intelligence into the household utility maximization model used to explain differential fertility. We attempt to do this here.