Concave utility on finite sets

When does a preference relation on a finite set have a concave or a strictly concave utility function? We provide a complete answer. Our proof is an application of the Theorem of the Alternative, and constructs a concave utility if one exists.     

Government financing in an endogenous growth model with financial market restrictions

Summary. In this paper, we develop an endogenous growth model with market regulations on explicitly modeled financial intermediaries to examine the effects of alternative government financing schemes on growth, inflation, and welfare. In the presence of binding regulation, there is always a unique equilibrium. We perform four alternative policy experiments; a change in the seigniorage tax rate, a change in the seigniorage tax base, a change in the income tax and a change in the fiscal-monetary policy mix. We find that in the presence of binding legal reserve requirements, a marginal increase in government spending need not result in a reduction in the rate of economic growth if it is financed with an increase in the seigniorage tax rate. Raising the seigniorage tax base by means of an increase in the reserve requirement retards growth and it has an ambiguous effect on inflation. An increase in income tax financed government spending also suppresses growth and raises inflation although not to the extent that the required seigniorage tax rate alternative would. Switching from seigniorage to income taxation as a source of government finance is growth reducing but deflationary. From a welfare perspective, the least distortionary way of financing an increase in the government spending requirements is by means of a marginal increase in the seigniorage tax rate. Under the specification of logarithmic preferences, the optimal tax structure is indeterminate. Received: March 20, 2000; revised version: June 26, 2001     

Incentive effects of benevolent intervention: The case of government loan guarantees

There has been a substantial recent growth in government loan guarantees to ailing firms in the United States. This paper investigates the potential incentive effects of this practice. Using the simplest available two-period model, it is shown that when firms know that loan guarantees may be forthcoming, they may be induced to adopt riskier investments and take on more leverage. These perverse incentive effects imply that the actual loan-guarantees-related contingent liability of the government could be much larger than suspected. Our policy recommendation is that the government either abandon the practice altogether or set up a federal agency that sells loan guarantees to all firms at prices that depend on the riskiness of the firm's assets and its leverage.     

Politically stable pay-as-you-go pension systems: When the social-insurance budget is too small in a democracy

The essay analyzes in an overlapping-generations model, to which extent a pay-as-you-go pension system will be the outcome of majority voting, given specific institutional set-ups. Clearly, the vote of an active person depends on his expectations about how the present decision (i.e., his contribution) is linked to the future (i.e., his benefits), when he will be retired. In the paper we employ the assumption of a basic social contract where each active voter's future benefits are positively related to his contributions. It is shown that in this framework a steady-state with a positive (though lower than optimal) level of the pension system exists, even if a new majority decision about the system takes place every period.     

Determining the going market value of a business in an emerging information technology industry: The case of the cellular communications industry

Given the phenomenal growth or the anticipation of growth in certain information technology industries, concerns for economy of scale, market access and expansion, and the need for ongoing research and development are resulting in mergers, acquisitions, and strategic alliances. A key question in such industries is what is, or should be the going market value of a business? This paper suggests an approach to imbed market penetration models in the popular value-based planning approach suggested by Rappaport [36] to obtain the going market value of a business. The model developed in implementing the approach is tailored for the cellular communications industry. Limitations and adaptations of the approach to other industries are discussed.