In this paper, we present a game theoretic analysis of a visibility based pursuitevasion game in a planar environment containing obstacles. The pursuer and the evader are holonomic having bounded speeds. Both the players have a complete map of the environment. Both the players have omnidirectional vision and have knowledge about each other’s current position as long as they are visible to each ...

This paper extends the Glosten and Milgrom (1985) model of asset pricing with asymmetric information into a dynamic setting and presents a model of market price manipulation. The paper shows that there is a unique equilibrium and characterizes the equilibrium. It is shown that the nextperiod value function of the informed trader, who knows the terminal value of the asset, is strictly monotone i...

The trajectory of a rider slowly traversing a zipline of fixed length and endpoints is computed, as a one-dimensional illustration of the curving of spacetime by a mass. As the rider’s weight increases from 0 to ∞, the trajectories uniformly interpolate between a catenary and an ellipse. These results are obtained by balancing forces in the horizontal and vertical directions, so that the treatm...

A graph technique analogous to the usual Feynman technique in field theory is developed for calculating Green's functions for particles in a statistical system which under the action of an external field deviates to any arbitrary extent from the state of thermodynamic equilibrium. It is found that in order to describe such a system it is necessary to introduce two Green's functions for each typ...

A bargaining solution balances fairness and efficiency if each player’s payoff lies between the minimum and maximum of the payoffs assigned to him by the egalitarian and utilitarian solutions. In the 2-person bargaining problem, the Nash solution is the unique scale-invariant solution satisfying this property. Additionally, a similar result, relating the weighted egalitarian and utilitarian sol...

In this paper the dynamics for a third-order rational difference equation is considered. The rule for the trajectory structure of solutions of this equation is clearly described out. The successive lengths of positive and negative semicycles of nontrivial solutions of this equation are found to occur periodically with prime period 7. And the rule is 3, 2−, 1, 1− in a period. By utilizing the ru...

Linear closed-loop no-memory strategies for the LQ Nash game are considered. We exhibit a class of such problems with the property that the solution exists for any finite time interval; for the infinite time case, there exist none or a unique or many solutions, depending on the choice of the parameters. In addition, the limit of the finite time solution as the time interval increases does not h...

In this paper we study the number of pure strategy Nash equilibria in large finite n-player games. A distinguishing feature of our study is that we allow general potentially multivalued best reply corresponsences. Given the number K of pure strategies to each player, we assign to each player a distribution over the number of his pure best replies against each strategy profile of his opponents. ...

This article is composed of two parts. The first part is aimed at providing an overview on the kinetic description of random nonlinear waves considering the one-dimensional nonlinear Schrödinger (NLS) equation as a representative model of optical wave propagation. We expose, in particular, the key problem of achieving a closure of the infinite hierarchy of moment equations for the random field....

the interaction of sodium n-dodecyl sulphate (sds) with histones in phosphate buffer ph 6.4 has been studied spectroscopically and by equilibrium dialysis. the enthalpies of interaction and the spectroscopic data suggest different structural stability for histones-sds interaction. the linear relation between enthaly and absorbtion was determined by the equation of m= , where m is the stability ...