Dynamic access pricing control for fair and stable resource sharing
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915630467252224 |
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| author | King, Christopher Hamedmoghadam, Homayoun Cassandras, Christos G. Wirth, Fabian R. Shorten, Robert N. |
| author_facet | King, Christopher Hamedmoghadam, Homayoun Cassandras, Christos G. Wirth, Fabian R. Shorten, Robert N. |
| contents | We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an increasing price is used to balance supply and demand for a resource in a constrained environment. A major drawback of dynamic pricing is that it is socially regressive, i.e., unfair, as such systems favour price-insensitive (unresponsive) traffic and control the demand at the expense of price-sensitive (responsive) traffic. We tackle this fundamental issue by proposing a new form of pricing that strikes a balance between using price as a control mechanism to manage demand for a resource and ensuring fair access to the resource for both price-sensitive and insensitive traffic. Our system gives rise to a switched non-linear ODE model, the stability of which is equivalent to ensuring the fairness properties of the pricing control system. Simulations illustrate this stability-fairness tradeoff and with the results demonstrating the effectiveness of the overall design. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamic access pricing control for fair and stable resource sharing King, Christopher Hamedmoghadam, Homayoun Cassandras, Christos G. Wirth, Fabian R. Shorten, Robert N. Optimization and Control We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an increasing price is used to balance supply and demand for a resource in a constrained environment. A major drawback of dynamic pricing is that it is socially regressive, i.e., unfair, as such systems favour price-insensitive (unresponsive) traffic and control the demand at the expense of price-sensitive (responsive) traffic. We tackle this fundamental issue by proposing a new form of pricing that strikes a balance between using price as a control mechanism to manage demand for a resource and ensuring fair access to the resource for both price-sensitive and insensitive traffic. Our system gives rise to a switched non-linear ODE model, the stability of which is equivalent to ensuring the fairness properties of the pricing control system. Simulations illustrate this stability-fairness tradeoff and with the results demonstrating the effectiveness of the overall design. |
| title | Dynamic access pricing control for fair and stable resource sharing |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2507.17939 |