arbiter
JournalsAccount

Core bound reduced games and consistency

Doudou Gong & Bas Dietzenbacher

International Journal of Game Theory2026https://doi.org/10.1007/s00182-026-00986-2article
AJG 2ABDC A
Weight
0.50

Abstract

The lower and upper exact core bounds describe the minimum and maximum individual payoffs within the core of a balanced game, respectively. Based on these bounds, we introduce lower and upper core bound reduced games and study the relation with other reduced games. We axiomatically characterize new solutions for balanced games as unique core bound consistent extensions of the classical two-player principles of unanimity, standardness, and constrained egalitarianism. We name these solutions core covers, equal gap values, and constrained equality values, respectively.

Open via your library →

Cite this paper

https://doi.org/https://doi.org/10.1007/s00182-026-00986-2

Or copy a formatted citation

@article{doudou2026,
  title        = {{Core bound reduced games and consistency}},
  author       = {Doudou Gong & Bas Dietzenbacher},
  journal      = {International Journal of Game Theory},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1007/s00182-026-00986-2},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

Core bound reduced games and consistency

Flags are reviewed by the Arbiter methodology team within 5 business days.

Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.