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...

In Lentz and Mortensen (2005), we formulate and estimate a market equilibrium model of endogenous growth through product innovation in the spirit of Klette and Kortum (2004). In this paper, we provide a quantitative solution to the social planner’s problem in the modeled environment. We find that the optimal growth rate is over three times larger than its value in market equilibrium and that th...

This paper discusses the implications of learning theory for the analysis of games with a move by Nature. One goal is to illuminate the issues that arise when modeling situations where players are learning about the distribution of Nature’s move as well as learning about the opponents’ strategies. A second goal is to argue that quite restrictive assumptions are necessary to justify the concept ...

This paper studies the macroeconomic effects of the transitory Value Added Tax (VAT) cut in the UK using a dynamic general equilibrium approach. The temporary VAT cut policy was announced on 24 November 2008, and was due to come into effect on 1 December 2008, with VAT reverting to its previous level as from 1 January 2010. We quantify the effects of that temporary fiscal stimulus policy on the...

ACKING-DENSITY variations in a powder compact often P result in nonuniform shrinkages andor cracking during subsequent drying and sintering. In case of dry-pressed compacts, the effect of consolidation conditions on density variations has been sufficiently detailed by theoretical models.' However, although recent trends have favored the use of colloidal consolidation methods in order to attain ...

In the early stages of the process of industry evolution, firms are financially constrained and might pay different wages to workers according to their expectations about the prospects for advancement offered by each firm’s job ladder. This paper argues that, nevertheless, if the output market is competitive, the positive predictions of the perfectly competitive model are still a good descripti...