Generalizations of Pareto optimality have been studied by a number of authors. In finite dimensions such work is exemplified by Corley [ 5 ], DaCunha and Polak [10], Goeffrion [131, Hartley [151, Linâ€¦ (More)

state conditions under which there exist solutions to x = f(x) for the singlevalued function f or to Y E F(y ) for the set-valued mapping F. The prototype of the former is the contraction mappingâ€¦ (More)

An alternative to the Nash Equilibrium (NE) is presented for two-person, one-shot prescriptive games in normal form, where the outcome is determined by an arbiter. The NE is the fundamental solutionâ€¦ (More)

A new family of recursive power-series distributions involving the generalized hypergeometric function is proposed. The probability generating and moment generating functions are given; andâ€¦ (More)

A scalar equilibrium (SE) is defined for n-person prescriptive games in normal form. When a decision criterion (notion of rationality) is either agreed upon by the players or prescribed by anâ€¦ (More)