Abstract: In this note we generalize a numerical algorithm presented in [9] to calculate all solutions of the scalar algebraic Riccati equations that play an important role in finding feedback Nash equilibria of the scalar N-player linear affine-quadratic differential game. The algorithm is...

We report the results of a series of experimental Bertrand duopolies where firms have convex costs. Theoretically these duopolies are characterized by a multiplicity of Nash equilibria. Using a 2x2 design, we analyze price choices in symmetric and asymmetric markets under 2 information...

In this note we reconsider the indefinite open-loop Nash linear quadratic differential game with an infinite planning horizon.In particular we derive both necessary and sufficient conditions under which the game will have a unique equilibrium.

In this paper, we address the concept of trust by combining (i) the self-reported trust and belief in trustworthiness of others from a general unpaid questionnaire, (ii) choices made in a social valuation task designed to measure subjects' distributional preferences, (iii) strategies submitted...

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has...

In this note we consider the open-loop Nash linear quadratic differential game with an infinite planning horizon.The performance function is assumed to be indefinite and the underlying system affine.We derive both necessary and sufficient conditions under which this game has a unique Nash...

In this paper we review some basic results on linear quadratic differential games.We consider both the cooperative and non-cooperative case.For the non-cooperative game we consider the open-loop and (linear) feedback information structure.Furthermore the effect of adding uncertainty is...

Abstract: In this note we reconsider Nash equilibria for the linear quadratic differential game for an infinite planning horizon. We consider an open-loop information structure. In the standard literature this problem is solved under the assumption that every player can stabilize the system on...

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon. The performance function is assumed to be indefinite and the underlying system affine. We derive both necessary and sufficient conditions under which this game has a...

We describe non-cooperative game models and discuss game theoretic solution<br/>concepts. Some applications are also noted. Conventional theory focuses on the<br/>question ‘how will rational players play?’, and has the Nash equilibrium at its core.<br/>We discuss this concept and its interpretations, as...