# Traitor win probability estimation on The Traitors Game Small configurations Migdał value based (n \<= 11) Source: [Traitor win probability estimation on The Traitors Game Small configurations Migdał value based (n \<= 11)]() Collection index: [llms.txt]() Data updated: 2026-05-12T15:05:57.798Z Evaluation of models on the specific small configuration subset of The Traitors Game dataset, focusing on estimating the probability of the traitor winning. A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. | Scope | Recorded value | | --- | --- | | Task | Traitor win probability estimation | | Dataset (including any stated split) | The Traitors Game Small configurations Migdał value based (n \<= 11) | | Metric | Traitor Win Probability | | Unit | PERCENT | | Direction | Higher is better | | Results loaded | 36 of 36 | | Coverage | All results currently returned for this benchmark | Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol. ## Metrics - [Traitor Win Probability](): Higher is better; unit: PERCENT. ## Recorded results | Method | Traitor Win Probability | Result date | Report paper | | --- | --- | --- | --- | | Exact RV+C (w‡) | 100 | Not recorded | 6a02b49cdbc836b87d824e36 | | RV+C | 100 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact VL+Opt (w†) | 100 | Not recorded | 6a02b49cdbc836b87d824e36 | | VL+Opt | 100 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact RV+C (w‡) | 99.6 | Not recorded | 6a02b49cdbc836b87d824e36 | | RV+C | 99.6 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact RV+C (w‡) | 99.5 | Not recorded | 6a02b49cdbc836b87d824e36 | | RV+C | 99.5 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact RV+C (w‡) | 98.9 | Not recorded | 6a02b49cdbc836b87d824e36 | | RV+C | 98.9 | Not recorded | 6a02b49cdbc836b87d824e36 | | Random Voting (RV) | 98.9 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact Migdał value (w) | 98.8 | Not recorded | 6a02b49cdbc836b87d824e36 | | VL+Opt | 98.3 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact VL+Opt (w†) | 98.2 | Not recorded | 6a02b49cdbc836b87d824e36 | | VL+Opt | 96.9 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact VL+Opt (w†) | 96.8 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact VL+Opt (w†) | 94.1 | Not recorded | 6a02b49cdbc836b87d824e36 | | VL+Opt | 94 | Not recorded | 6a02b49cdbc836b87d824e36 | | Random Voting (RV) | 93.2 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact Migdał value (w) | 93.1 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact VL+Opt (w†) | 93.1 | Not recorded | 6a02b49cdbc836b87d824e36 | | VL+Opt | 93.1 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact RV+C (w‡) | 92 | Not recorded | 6a02b49cdbc836b87d824e36 | | RV+C | 92 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact VL+Opt (w†) | 90.5 | Not recorded | 6a02b49cdbc836b87d824e36 | | VL+Opt | 90.4 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact RV+C (w‡) | 89.6 | Not recorded | 6a02b49cdbc836b87d824e36 | | RV+C | 89.6 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact Migdał value (w) | 88.6 | Not recorded | 6a02b49cdbc836b87d824e36 | | Random Voting (RV) | 88.6 | Not recorded | 6a02b49cdbc836b87d824e36 | | Random Voting (RV) | 84.6 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact Migdał value (w) | 84.4 | Not recorded | 6a02b49cdbc836b87d824e36 | | Random Voting (RV) | 83.7 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact Migdał value (w) | 83.5 | Not recorded | 6a02b49cdbc836b87d824e36 | | Exact Migdał value (w) | 77.1 | Not recorded | 6a02b49cdbc836b87d824e36 | | Random Voting (RV) | 77.1 | Not recorded | 6a02b49cdbc836b87d824e36 | ### Exact RV+C (w‡) Traitor Win Probability: 100. Result ID: 6a0341c847f34ce924e84542. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 5)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### RV+C Traitor Win Probability: 100. Result ID: 6a0341c847f34ce924e84543. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 5)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact VL+Opt (w†) Traitor Win Probability: 100. Result ID: 6a0341c847f34ce924e84544. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 5)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### VL+Opt Traitor Win Probability: 100. Result ID: 6a0341c847f34ce924e84545. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 5)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact RV+C (w‡) Traitor Win Probability: 99.6. Result ID: 6a0341c847f34ce924e84536. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(10, 3)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### RV+C Traitor Win Probability: 99.6. Result ID: 6a0341c847f34ce924e84537. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(10, 3)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact RV+C (w‡) Traitor Win Probability: 99.5. Result ID: 6a0341c847f34ce924e84530. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(9, 3)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### RV+C Traitor Win Probability: 99.5. Result ID: 6a0341c847f34ce924e84531. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(9, 3)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact RV+C (w‡) Traitor Win Probability: 98.9. Result ID: 6a0341c847f34ce924e8453c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 3)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### RV+C Traitor Win Probability: 98.9. Result ID: 6a0341c847f34ce924e8453d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 3)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Random Voting (RV) Traitor Win Probability: 98.9. Result ID: 6a0341c847f34ce924e84541. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 5)","Voting Strategy":"Random Voting (RV)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact Migdał value (w) Traitor Win Probability: 98.8. Result ID: 6a0341c847f34ce924e84540. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 5)","Voting Strategy":"Random Voting (RV)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### VL+Opt Traitor Win Probability: 98.3. Result ID: 6a0341c847f34ce924e84539. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(10, 3)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact VL+Opt (w†) Traitor Win Probability: 98.2. Result ID: 6a0341c847f34ce924e84538. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(10, 3)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### VL+Opt Traitor Win Probability: 96.9. Result ID: 6a0341c847f34ce924e84533. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(9, 3)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact VL+Opt (w†) Traitor Win Probability: 96.8. Result ID: 6a0341c847f34ce924e84532. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(9, 3)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### Exact VL+Opt (w†) Traitor Win Probability: 94.1. Result ID: 6a0341c847f34ce924e8452c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(8, 2)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### VL+Opt Traitor Win Probability: 94. Result ID: 6a0341c847f34ce924e8452d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(8, 2)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Random Voting (RV) Traitor Win Probability: 93.2. Result ID: 6a0341c847f34ce924e84535. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(10, 3)","Voting Strategy":"Random Voting (RV)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact Migdał value (w) Traitor Win Probability: 93.1. Result ID: 6a0341c847f34ce924e84534. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(10, 3)","Voting Strategy":"Random Voting (RV)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### Exact VL+Opt (w†) Traitor Win Probability: 93.1. Result ID: 6a0341c847f34ce924e8453e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 3)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### VL+Opt Traitor Win Probability: 93.1. Result ID: 6a0341c847f34ce924e8453f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 3)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact RV+C (w‡) Traitor Win Probability: 92. Result ID: 6a0341c847f34ce924e8452a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(8, 2)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### RV+C Traitor Win Probability: 92. Result ID: 6a0341c847f34ce924e8452b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(8, 2)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact VL+Opt (w†) Traitor Win Probability: 90.5. Result ID: 6a0341c847f34ce924e84526. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(7, 2)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### VL+Opt Traitor Win Probability: 90.4. Result ID: 6a0341c847f34ce924e84527. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(7, 2)","Voting Strategy":"Vote-Left with Optimal Deviation (VL+Opt)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact RV+C (w‡) Traitor Win Probability: 89.6. Result ID: 6a0341c847f34ce924e84524. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(7, 2)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### RV+C Traitor Win Probability: 89.6. Result ID: 6a0341c847f34ce924e84525. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(7, 2)","Voting Strategy":"RV with Collusion (RV+C)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact Migdał value (w) Traitor Win Probability: 88.6. Result ID: 6a0341c847f34ce924e8452e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(9, 3)","Voting Strategy":"Random Voting (RV)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### Random Voting (RV) Traitor Win Probability: 88.6. Result ID: 6a0341c847f34ce924e8452f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(9, 3)","Voting Strategy":"Random Voting (RV)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Random Voting (RV) Traitor Win Probability: 84.6. Result ID: 6a0341c847f34ce924e84529. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(8, 2)","Voting Strategy":"Random Voting (RV)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact Migdał value (w) Traitor Win Probability: 84.4. Result ID: 6a0341c847f34ce924e84528. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(8, 2)","Voting Strategy":"Random Voting (RV)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### Random Voting (RV) Traitor Win Probability: 83.7. Result ID: 6a0341c847f34ce924e8453b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 3)","Voting Strategy":"Random Voting (RV)","Computation Type":"Simulated"}. This record does not assert independent reproduction. ### Exact Migdał value (w) Traitor Win Probability: 83.5. Result ID: 6a0341c847f34ce924e8453a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(11, 3)","Voting Strategy":"Random Voting (RV)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### Exact Migdał value (w) Traitor Win Probability: 77.1. Result ID: 6a0341c847f34ce924e84522. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(7, 2)","Voting Strategy":"Random Voting (RV)","Computation Type":"Exact Analytical"}. This record does not assert independent reproduction. ### Random Voting (RV) Traitor Win Probability: 77.1. Result ID: 6a0341c847f34ce924e84523. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Game parameters (n, m)":"(7, 2)","Voting Strategy":"Random Voting (RV)","Computation Type":"Simulated"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.