The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Linear complementarity models of Nash-Cournot competition in bilateral and POOLCO power markets
Abstract
Two Cournot models of imperfect competition among electricity producers are formulated as mixed linear complementarity problems (LCPs), and a simple example is presented to illustrate their application. The two models simulate bilateral markets. The models include a congestion pricing scheme for transmission, but other transmission pricing approaches can also be represented in this framework. The two models differ from each other in that one has no arbitrage between nodes of the network, while in the other model, arbitragers erase any noncost based differences in price. The latter bilateral model turns out to be equivalent to a Cournot model of a POOLCO. The models differ from other Cournot market models in that they include both of Kirchhoff's laws via a DC approximation; can include arbitragers; possess unique solutions; and are readily solved by efficient LCP algorithms. The key assumption that permits their formulation as LCPs is that each producer naively assumes that its output will not affect transmission prices.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Schweppe, F. C., Caramanis, M. C., Tabors, R. D., & Bohn, R. E. (1988) · Springer eBooks · doi:10.1007/978-1-4613-1683-1 · Cited by 2,409
Bimatrix Equilibrium Points and Mathematical Programming
Lemke, C. E. (1965) · Management Science · doi:10.1287/mnsc.11.7.681 · Cited by 1,029
Strategic gaming analysis for electric power systems: an MPEC approach
Hobbs, B. F., Metzler, C. B., & Pang, J.-S. (2000) · IEEE Transactions on Power Systems · doi:10.1109/59.867153 · Cited by 821
Self-citationA market mechanism for electric power transmission
Chao, H.-P., & Peck, S. (1996) · Journal of Regulatory Economics · doi:10.1007/bf00133357 · Cited by 481
Market power and strategic interaction in electricity networks
Cardell, J. B., Hitt, C. C., & Hogan, W. W. (1997) · Resource and Energy Economics · doi:10.1016/s0928-7655(97)00006-7 · Cited by 471
Competition and Choice in Electricity
Hunt, S., & Shuttleworth, G. (1996) · Infoscience (Ecole Polytechnique Fédérale de Lausanne) · Cited by 388
The Competitive Effects of Transmission Capacity in a Deregulated Electricity Industry
Borenstein, S., Bushnell, J., & Stoft, S. E. (1997) · National Bureau of Economic Research · doi:10.3386/w6293 · Cited by 341
Spatial Oligopolistic Electricity Models with Cournot Generators and Regulated Transmission Prices
Jing-Yuan, W., & Smeers, Y. (1999) · Operations Research · doi:10.1287/opre.47.1.102 · Cited by 295
Oren, S. S. (1997) · The Energy Journal · doi:10.5547/issn0195-6574-ej-vol18-no1-3 · Cited by 262
Spatial Price Discrimination, Competition and Locational Effects
Greenhut, J. G., & Greenhut, M. L. (1975) · Economica · doi:10.2307/2553798 · Cited by 155
Cited by
A Reinforcement Learning Model to Assess Market Power Under Auction-Based Energy Pricing
Nanduri, V., & Das, T. K. (2007) · IEEE Transactions on Power Systems · doi:10.1109/tpwrs.2006.888977 · Cited by 168
Metadata
- Authors
- Hobbs, B. E.
- Venue
- IEEE Transactions on Power Systems
- Published
- 2001-05
- Volume
- 16
- Issue
- 2
- Pages
- 194-202
- ISSN
- 0885-8950 (ISSN-L)
- OpenAlex
- W4233360132
- Cited by
- 522
- References
- 14
- FWCI
- 15.06
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Linear complementarity models of Nash-Cournot competition in bilateral and POOLCO power markets. https://app.cochat.ai/papers/10.1109/59.918286
- The paper
- Hobbs, B. E. (2001). Linear complementarity models of Nash-Cournot competition in bilateral and POOLCO power markets. IEEE Transactions on Power Systems. https://doi.org/10.1109/59.918286
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.