In this paper we consider the linear quadratic differential game for descriptor systems that have index one. We derive both necessary and sufficient conditions for existence of an open-loop Nash equilibrium.

To understand how firms create and maintain long term relationships with consumers, or how procurement relations evolve over time, it is useful to study a dynamic variant of the classical two-type-buyer contract in mechanism design. It is less trivial and more interesting if the utility...

Multiattribute decision making (MADM) with multiple formats of information, which is called heterogeneous MADM for short, is very complex and interesting in applications. The purpose of this paper is to extend the Linear Programming Technique for Multidimensional Analysis of Preference (LINMAP)...

This paper presents a model in which the contagion of a liquidity crisis between two nonfinancial institutions occurs because of learning activity within a common creditor pool. After creditors observe what occurs in a rollover game for a firm, they conjecture one another's “type” or...

In this paper we analyze the consequences of taking noise into account in a simple twoperson fishery management game.Both a stochastic and deterministic formulation are considered.Compared to the noise-free model it is shown that the used stochastic frameworkhas no implications for the...