The Theory of Socially Embedded Games: Applications and Extensions to Open and Closed Games

An earlier article, drawing on the mathematical theory of rules and rule complexes, extends and generalizes game theory (GGT). The theory has been used to conceptualize and analyze diverse social relationships, roles, and games as particular types of rule complexes.For instance, a social role, as a major basis of a parent's action in a game, consists of at least four key components – which are mathematical objects – in the determination of action: value complex, model of reality (including beliefs and knowledge bases), a repertoire of acts, routines, programs, and strategies, and modality, a role-specific algorithm for determining or generating action in game settings. This article applies and extends GGT in analyses of a market bargaining game (a type of open game) and of the classical game of prisoners' dilemma (a type of closed game). The applications show the concrete effects of social embeddedness on game structuring, game interaction patterns and outcomes, and social equilibria.     

Bayesian life test planning for the Weibull distribution with given shape parameter

This paper describes Bayesian methods for life test planning with Type II censored data from a Weibull distribution, when the Weibull shape parameter is given. We use conjugate prior distributions and criteria based on estimating a quantile of interest of the lifetime distribution. One criterion is based on a precision factor for a credibility interval for a distribution quantile and the other is based on the length of the credibility interval. We provide simple closed form expressions for the relationship between the needed number of failures and the precision criteria. Examples are used to illustrate the results.Received: October 2002 / Revised: March 2004     

Financing bank stock ownership: A question of conflict of interest

The bank stock loan conflict of interest question arises when compensating balances are intermingled with a bank's correspondent balances for the benefit of those bank stockholders seeking a bank stock loan. This study attempts to determine if this practice exists usign two-stage least square regression analysis and cross-sectional data obtained from one-bank holding company applications in the Tenth Federal Reserve District. Our results suggest that bankers with established correspondent banking relationships capitalize on their correspondent balances to obtain favorable interest rates on bank stock loans.     

Valuation of controlling shares in closely held banks

This paper investigated factors that affect the valuation of controlling shares of closely held bank stocks. With regard to traditional financial factors, earnings and growth variables proved to be important. In addition, the prior ownership position of the buyer was important in pricing the stock. Other non-traditional valuation factors were investigated with only limited success. The statistical work was enhanced by a robust regression technique.