Triple

T1266653
Position Surface form Disambiguated ID Type / Status
Subject Kalai–Smorodinsky bargaining solution E15614 entity
Predicate describedIn P519 FINISHED
Object article "Other solutions to Nash’s bargaining problem"
The article "Other solutions to Nash’s bargaining problem" is a scholarly work in game theory that introduces and analyzes alternative bargaining solutions to Nash’s original framework, including the Kalai–Smorodinsky bargaining solution.
E15614 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: article "Other solutions to Nash’s bargaining problem" | Statement: [Kalai–Smorodinsky bargaining solution, describedIn, article "Other solutions to Nash’s bargaining problem"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: article "Other solutions to Nash’s bargaining problem"
Context triple: [Kalai–Smorodinsky bargaining solution, describedIn, article "Other solutions to Nash’s bargaining problem"]
  • A. Nash bargaining solution
    The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
  • B. Kalai–Smorodinsky bargaining solution
    The Kalai–Smorodinsky bargaining solution is a cooperative game theory concept that selects a fair agreement between parties by preserving proportional gains relative to their best possible outcomes.
  • C. Rubinstein bargaining model
    The Rubinstein bargaining model is a foundational game-theoretic framework that analyzes how two parties reach agreement over time through alternating offers under the influence of impatience and strategic delay.
  • D. Theory of Games and Economic Behavior
    Theory of Games and Economic Behavior is a foundational 1944 book by John von Neumann and Oskar Morgenstern that established game theory as a rigorous mathematical framework for analyzing strategic decision-making in economics.
  • E. On Equilibrium
    On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: article "Other solutions to Nash’s bargaining problem"
Triple: [Kalai–Smorodinsky bargaining solution, describedIn, article "Other solutions to Nash’s bargaining problem"]
Generated description
The article "Other solutions to Nash’s bargaining problem" is a scholarly work in game theory that introduces and analyzes alternative bargaining solutions to Nash’s original framework, including the Kalai–Smorodinsky bargaining solution.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: article "Other solutions to Nash’s bargaining problem"
Target entity description: The article "Other solutions to Nash’s bargaining problem" is a scholarly work in game theory that introduces and analyzes alternative bargaining solutions to Nash’s original framework, including the Kalai–Smorodinsky bargaining solution.
  • A. Nash bargaining solution
    The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
  • B. Kalai–Smorodinsky bargaining solution chosen
    The Kalai–Smorodinsky bargaining solution is a cooperative game theory concept that selects a fair agreement between parties by preserving proportional gains relative to their best possible outcomes.
  • C. Rubinstein bargaining model
    The Rubinstein bargaining model is a foundational game-theoretic framework that analyzes how two parties reach agreement over time through alternating offers under the influence of impatience and strategic delay.
  • D. Theory of Games and Economic Behavior
    Theory of Games and Economic Behavior is a foundational 1944 book by John von Neumann and Oskar Morgenstern that established game theory as a rigorous mathematical framework for analyzing strategic decision-making in economics.
  • E. On Equilibrium
    On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
  • F. None of above.

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69a4935a94308190bb92555b79032824 completed March 1, 2026, 7:28 p.m.
NER Named-entity recognition batch_69a4c037f14c8190baa42f70f8846583 completed March 1, 2026, 10:39 p.m.
NED1 Entity disambiguation (via context triple) batch_69aca2f1d1008190bd86948eb1b35b2d completed March 7, 2026, 10:13 p.m.
NEDg Description generation batch_69aca76c18d081908154d2a04c7a3328 completed March 7, 2026, 10:32 p.m.
NED2 Entity disambiguation (via description) batch_69aca7d3c740819084c87134e5818455 completed March 7, 2026, 10:33 p.m.
Created at: March 1, 2026, 7:50 p.m.