Social optimality in the constructed-capital model

In the constructed-capital model, the steady state is derived under the assumption that each individual behaves optimally. Contrasting to this decentralized approach, in this paper we derive the first-best outcome a central planner would choose. The results show that agglomeration is socially not optimal, irrespective of the level of trade barriers. Furthermore, the differences in the explicit solutions of both approaches are highlighted.     

Quantification of free and total salicylic acid in plants by solid-phase extraction and isocratic high-performance anion-exchange chromatography

Salicylic acid (SA) is an important signaling compound in plants and is involved in various defense responses. Here we report a new method for quantification of free and total soluble SA in Arabidopsis thaliana with 5-fluorosalicylic acid (5-FSA) as internal standard. The SA was isolated from leaf extracts by solid-phase extraction with phenyl-phase cartridges and selectively eluted as the cationic iron(III)-complex. Recoveries of SA and 5-FSA were equal and exceeded 90%. Free SA was subsequently released from the iron(III)-complex by addition of 2,2-bipyridyl and high-performance anion-exchange chromatography was performed on an NH₂ column. The SA appeared as last peak with a retention time of 15 min, baseline-separated from other substances. On-line detection was performed fluorimetrically for both SA and 5-FSA at an excitation wavelength of 300 nm and an emission wavelength of 410 nm, because both substances give similar fluorescence spectra. The detection limit for SA was 5 ng g^–1 FW for a sample size of 100 mg. Thus the main advantages of the method are highly selective sample preparation, increased sensitivity, reduced analysis time compared with reversed-phase HPLC, and use of a novel internal standard detectable under the same conditions as SA. The techniques described are applicable to other plant materials.     

Asymmetric Information in a Capital Accumulation Differential Game with Spillover and Learning Effects

Journal of Optimization Theory and Applications - This paper considers a capital accumulation game where the installation costs of investments are lowered by the firm’s own capital stock...     

Equilibrium charges of multi-period allocation mechanisms for network services

Several new network services require a periodical resource allocation. For this purpose several auction-based multi-period allocation mechanisms have been proposed. This article derives explicitly resulting equilibrium charges in a simple mathematical model, i.e., constant session holding times, identical bandwidth request and independently identically uniformly distributed bids for the multi-period VCG and the PRENORM mechanism. In the same manner the expected revenue of the network provider can be calculated. Moreover, the analysis leads to an important condition for the protection parameter α of the PRENORM mechanism, such that the charging system does not break down. This research was partly financed by the Austrian Science Fund under contract number P18161-N13 (“Control of heterogenous systems”).