For decision‐makers, the cognitive limit is one of the most critical factors which determine the quality of decisions, when they do not have enough information about their…
Abstract
For decision‐makers, the cognitive limit is one of the most critical factors which determine the quality of decisions, when they do not have enough information about their decision environment, and when they must strike a balance between conflicting objectives within a time limit. In such a situation, their decision‐making is often characterized by satisficing behaviors with multiple objectives under uncertainty. This paper aims to formulate a multiple‐objective satisficing problem and to study its fundamental properties, such as (1) existence of collectively satisficing solutions, (2) relationship among collectively satisficing solutions, Pareto satisficing solutions, weak Pareto satisficing solutions and max‐min solutions, and (3) characterization of Pareto satisficing solutions and of weak Pareto satisficing solutions.
Organizational equilibrium theory is a theory of an inducements‐contributions balance within organizations; i.e. it ultimately aims to find conditions for organizational survival…
Abstract
Organizational equilibrium theory is a theory of an inducements‐contributions balance within organizations; i.e. it ultimately aims to find conditions for organizational survival. Based on the Simon‐Smithburg‐Thompson postulates for the organizational equilibrium theory, an organizational equilibrium model under uncertainty is constructed. Using a multiple objective satisficing problem formulation, the survival conditions (i.e. existence conditions of viable solutions) are studied. The existence of uniformly better solutions than a given viable solution is also shown. Then, a unique solution (i.e. viable Pareto solution) is defined, and a problem whose solutions are viable Pareto solutions is specified. Finally, several organizational factors involved with the organizational equilibrium concept are discussed.
The general problem to be considered in this paper is as follows: Given a general system defined by m attributes, find a meaningful partition of systems’ behaviors. Using an order…
Abstract
The general problem to be considered in this paper is as follows: Given a general system defined by m attributes, find a meaningful partition of systems’ behaviors. Using an order preserving mapping from a space of m attributes into an m‐dimensional Euclidean space, a partitioning criterion of systems' behaviors is defined. Then, its mathematical properties are studied, on the basis of the usual hyperplane separation theorem and of the existence theorem of ton Neumann and Morgenstern's utility function.