11 research outputs found
Nash Equilibria in Multi-Agent Motor Interactions
Social interactions in classic cognitive games like the ultimatum game or the
prisoner's dilemma typically lead to Nash equilibria when multiple
competitive decision makers with perfect knowledge select optimal strategies.
However, in evolutionary game theory it has been shown that Nash equilibria can
also arise as attractors in dynamical systems that can describe, for example,
the population dynamics of microorganisms. Similar to such evolutionary
dynamics, we find that Nash equilibria arise naturally in motor interactions in
which players vie for control and try to minimize effort. When confronted with
sensorimotor interaction tasks that correspond to the classical
prisoner's dilemma and the rope-pulling game, two-player motor
interactions led predominantly to Nash solutions. In contrast, when a single
player took both roles, playing the sensorimotor game bimanually, cooperative
solutions were found. Our methodology opens up a new avenue for the study of
human motor interactions within a game theoretic framework, suggesting that the
coupling of motor systems can lead to game theoretic solutions
Improperium exspectavit [music] : Offertorium pro Festo S.smi Cordis Jesu (Offertorium totius anni., No. 58) quatuor vocibus inaeqalibus organo comitante /
Catalogue record generated as part of a batch load; "Composizioni musicale sacre di S. Moreno O.S.B.".; "Con l'approvazione Ecclesiastica".; Also available online http://nla.gov.au/nla.mus-vn5715688
Model Predictive Control of blood glucose in Type 1 diabetes: The Principal Dynamic Modes approach
A numerical algorithm to find soft-constrained Nash equilibria in scalar LQ-games
In this paper we provide a numerical algorithm to calculate all soft-constrained Nash equilibria in a regular scalar indefinite linear-quadratic game.The algorithm is based on the calculation of the eigenstructure of a certain matrix.The analysis follows the lines of the approach taken by Engwerda in [7] to calculate the solutions of a set of scalar coupled feedback Nash algebraic Riccati equations.