@incollection{Roberts1979, author = {Roberts, Kevin W. S.}, title = {The characterization of implementable choice rules}, editor = {Laffont, Jean-Jacques}, booktitle = {Aggregation and Revelation of Preferences}, publisher = {North-Holland}, address = {Amsterdam}, year = {1979}, pages = {321--349} } @inproceedings{DobzinskiNisan2009, author = {Dobzinski, Shahar and Nisan, Noam}, title = {A Modular Approach to {Roberts}' Theorem}, editor = {Mavronicolas, Marios and Papadopoulou, Vicky G.}, booktitle = {Algorithmic Game Theory, {SAGT} 2009}, series = {Lecture Notes in Computer Science}, volume = {5814}, pages = {14--23}, publisher = {Springer}, year = {2009}, doi = {10.1007/978-3-642-04645-2_3}, note = {\url{https://doi.org/10.1007/978-3-642-04645-2_3}} } @inproceedings{LaviMualemNisan2003, author = {Lavi, Ron and Mu'alem, Ahuva and Nisan, Noam}, title = {Towards a Characterization of Truthful Combinatorial Auctions}, booktitle = {Proceedings of the 44th Annual {IEEE} Symposium on Foundations of Computer Science}, pages = {574--583}, publisher = {IEEE}, year = {2003}, doi = {10.1109/SFCS.2003.1238230}, note = {\url{https://doi.org/10.1109/SFCS.2003.1238230}} } @misc{RobertsArtifact, author = {Ramos, Arthur Freitas}, title = {{roberts-theorem-lean}: a {Lean} formalization of {Roberts} theorem}, year = {2026}, howpublished = {\url{https://github.com/Arthur742Ramos/roberts-theorem-lean/tree/0c176c66d2afa62301297f443b1e40eda2387ca2}}, note = {Pinned source inspected September 30, 2026; Lean and Mathlib v4.35.0-rc2} } @misc{RobertsAuditCommit, author = {Ramos, Arthur Freitas}, title = {Local verification record in the {Roberts} packaging commit}, year = {2026}, howpublished = {\url{https://github.com/Arthur742Ramos/roberts-theorem-lean/commit/61bd2b9075588716550bcd3ac9bc68f7392e823f}}, note = {September 27, 2026; project-reported local checks, not external review} } @misc{RobertsMechanicalRun, author = {{Palomar Registry}}, title = {Mechanical verification of submission ujjeis5lup8v}, year = {2026}, howpublished = {\url{https://github.com/PalomarRegistry/PalomarSubmission/actions/runs/36327496620}}, note = {Completed successfully September 27, 2026; submitted source revision 61bd2b9075588716550bcd3ac9bc68f7392e823f; not mathematical peer review} }