Consumption-loan type models the Samuelson case

This is a further study of the overlapping generations model with fixed amount of fiat money. We show that when the economy is Samuelsonian then there exists some Pareto optimal stationary competitive equilibrium from some initial money holdings. Moreover, if the steady-state interest factor is less than unity, then a non-monetary Pareto optimal equilibrium exists from any initial money endowments.     

The effect of increased variance on the duration of search: A note

A search procedure with a finite number of possible periods of search is considered here. It is assumed that the offers at different periods are independent of each other, that there are no search costs, and that there is no discounting of future receipts. It is shown that if the offers come from a normal population with the same mean then the expected duration of the search, given that an optimal search procedure is followed, is independent of the variance.     

On optimal growth under uncertainty

In a recent paper Brock and Mirman showed that in a one-sector model of economic growth under uncertainty the long-run behavior of the optimal capital stock is governed by the basic properties of an acyclic ergodic Markov process. This paper considers a similar model and has two purposes. First, necessary and sufficient conditions for optimal policy functions are derived in a regime in which future utilities are discounted. These conditions lead, in an example, to an explicit optimal policy function, which is used to display the steady-state solution for the capital stock under an optimal policy. Secondly, in the Brock and Mirman paper it was assumed that the production functions are ordered. We show that all the properties proved by Brock and Mirman are satisfied even when the production functions are not ordered.     

Capital Adequacy, Bank Mergers, and the Medium of Payment

We examine how banks' capital requirements affect the way bank mergers are financed, as well as the stock-market reaction to the merger announcement. We find that the capital position of the acquirer is one of the two factors most strongly influencing the choice of financing method; the other is the relative size of the merging banks. The smaller the acquirer in relation to the target bank and the higher the acquirer's capital adequacy ratio, the more likely it is that the acquisition will be financed by a stock swap. The capital requirements also affect the market reaction, through their effect on the financing method choice. The value of the acquirer's equity decreases more at the time of the merger announcement if the method of payment is stock. Like prior studies, we find that the abnormal return on the target banks' stock is positive.     

Act similarity in case-based decision theory

Summary Case-Based Decision Theory (CBDT) postulates that decision making under uncertainty is based on analogies to past cases. In its original version, it suggests that each of the available acts is ranked according to its own performance in similar decision problems encountered in the past.The purpose of this paper is to extend CBDT to deal with cases in which the evaluation of an act may also depend on past performance of different, but similar acts. To this end we provide a behavioral axiomatic definition of the similarity function over problem-act pairs (and not over problem pairs alone, as in the original model).We propose a model in which preferences are context-dependent. For each conceivable history of outcomes (to be thought of as the context of decision) there is a preference order over acts. If these context-dependent preference relations satisfy our consistency-across-contexts axioms, there is an essentially unique similarity function that represents these preferences via the (generalized) CBDT functional.We are grateful to Akihiko Matsui for the discussions that motivated this work. We also thank Enriqueta Aragones, Roger Myerson, Zvika Neeman, Ariel Rubinstein, Peyton Young, and an anonymous referee for their comments. Partial financial support from the Alfred Sloan Foundation is gratefully acknowledged.     

Public education under capital mobility

The paper considers a two-country model of overlapping generations economies with intergenerational transfers motivated by altruism and investment in human capital. We examine in a non-stationary competitive equilibrium the optimal provision of education with and without capital market integration. First, we explore how regimes of education provision—public, private or mixed—arise and how they affect the dynamics of autarkic economies. Second, we study the effects of capital market integration, in equilibrium, on the optimal provision of education. Third, we show that capital market integration enhances government intervention in the provision of public education (to improve the welfare of its constituents) and consider various solutions to such a competition.