In this paper, we consider constrained noncooperativeN -person stochastic games with discounted cost criteria. The state space is assumed to be countable and the action sets are compact metric spaces. We present three main results. The first concerns the sensitivity or approximation of constrained games. The second shows the existence of Nash equilibria for constrained games with a finite state...

We investigate general scalar field potentials V (φ) for inflationary cosmology arising from spontaneous symmetry breaking. We find that potentials which are dominated by terms of order φm with m > 2 can satisfy observational constraints at an arbitrary symmetry breaking scale. Of particular interest, the spectral index of density fluctuations is shown to be independent of the specific form of ...

3 Thermodynamic State Variables and State Equations 8 3.1 State Variables and Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.1.1 Exhaustive set of state variables? . . . . . . . . . . . . . . . . . . . . 8 3.1.2 Are state variables de ned only in equilibrium? . . . . . . . . . . . . 11 3.1.3 Concept of local equilibrium . . . . . . . . . . . . . . . . . . . . . . . 12 3.1.4 C...

The general equation of state which was found for dense fluids, both compressed liquids and dense supercritical fluids, namely "Linear Isotherm Regularity," is extended to the lower density range, specifically for densities lower than the Boyle density. This new equation of state which is called "ELIR" is shown to be compatible with the equations of state based on statistical-mechanical the...

For one-dimensional system of dissipative balance laws endowed with a convex entropy we prove, under natural assumptions, that a constant equilibrium state is asymptotically L 2 ?stable under a zero-mass initial disturbance. The technique is based on the construction of an appropriate Liapunov functional involving the entropy and a so-called compensation term.

We study a nonlinear integral equation that is a necessary condition on the equilibrium phase space distribution function of stored, colliding electron beams. It is analogous to the Ha¨ıssinski equation, being derived from Vlasov-Fokker-Planck theory, but is quite different in form. The equation is analyzed for the case of the Chao-Ruth model of the beam-beam interaction in one degree of freedo...

Using the representation introduced in our another paper[1], an artificial game in quantized quantum strategy space is proposed and studied. Although it has wellknown classical correspondence, the equilibrium state of this quantized quantum game is an entangled state of the two players. It partially shows the independent meaning of the new representation.

Varnish and sludge formation are considered as one of the most common problems in lubrication and hydraulic systems. In order to simulate the condition of sludge formation, base stock lubricant (Group 1 API) has been selected and exposed to heat in a laboratory setup. Sludge formation process accelerated in the laboratory scale and solid liquid equilibrium data were extracted. Then solid-liquid...

We study general equilibrium with private and incomplete state verification. Trade is agreed ex ante, that is, before private information is received. It is useful to define a list of bundles as a derivative good that gives an agent the right to receive one of the bundles in the list. Enforceable trade agreements can be described by Pimeasurable plans of lists of bundles, instead of Pi-measurab...

We consider a continuous dynamical system f : X → X on a compact metric space X equipped with an m-dimensional continuous potential Φ = (φ1, · · · , φm) : X → R . We study the set of ground states GS(α) of the potential α · Φ as a function of the direction vector α ∈ S. We show that the structure of the ground state sets is naturally related to the geometry of the generalized rotation set of Φ....