Dynamics of market models with inventory
| dc.contributor.author | Ratnayake, R. M. T. | |
| dc.date.accessioned | 2024-10-03T06:29:07Z | |
| dc.date.available | 2024-10-03T06:29:07Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | Dynamics of three types of market models with inventory are considered. These models are categorized into Quasi-Periodic, Lagged - Inventory and Pseudo - Quadratic according to the mathematical nature of the assumptions of the model. The governing mechanism of these models can be stated commonly in the functional form <mathematical formular>, is the excess supply function (inventory function) and θ(≥ 0) is.a time independent parameter. In the three models the dynamic stability of time paths of the price function P (unit price at time f) are investigated by providing possible ranges of values for the stock — t + 7 st induced- price- adjustment (SIPA) coefficient <mathematical formular> in terms of the exogenous model parameters. In this direction the following main results are established: 1, In the Quasi-Periodic model, P, is asymptotically stable if, and only if <Mathematical formular> 2. Unlagged Inventory model (UIM) is a deductive sub - model of the Lagged - Inventory (LIM) model. 3 . In the Pseudo — Quadratic model, equilibrium price <mathematical formular> is attainable but it is unstable for all θ > 0. | |
| dc.identifier.uri | https://ir.lib.pdn.ac.lk/handle/20.500.14444/1419 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Peradeniya | |
| dc.subject | Mathematics | |
| dc.title | Dynamics of market models with inventory | |
| dc.type | Thesis |