Characterizations of Proportional Division Value in TU-Games via Fixed-Population Consistency
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909892078469120 |
|---|---|
| author | Funaki, Yukihiko Koriyama, Yukio Nakada, Satoshi Tamura, Yuki |
| author_facet | Funaki, Yukihiko Koriyama, Yukio Nakada, Satoshi Tamura, Yuki |
| contents | We study the proportional division value in TU-games, which distributes the worth of the grand coalition in proportion to each player's stand-alone worth. Focusing on fixed-population consistency, we characterize the proportional division value through three types of axioms: a homogeneity axiom, composition axioms, and a nullified-game consistency axiom. The homogeneity axiom captures scale invariance with respect to the grand coalition's worth. The composition axioms ensure that payoffs remain consistent when the game is decomposed and recomposed. The nullified-game consistency axiom requires that when some players' payoffs are fixed, the solution for the remaining players, computed in the game adjusted to account for these fixed payoffs, coincides with their original payoffs. Together with efficiency and a fairness-related axiom, these axioms characterize the proportional division value. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizations of Proportional Division Value in TU-Games via Fixed-Population Consistency Funaki, Yukihiko Koriyama, Yukio Nakada, Satoshi Tamura, Yuki Theoretical Economics We study the proportional division value in TU-games, which distributes the worth of the grand coalition in proportion to each player's stand-alone worth. Focusing on fixed-population consistency, we characterize the proportional division value through three types of axioms: a homogeneity axiom, composition axioms, and a nullified-game consistency axiom. The homogeneity axiom captures scale invariance with respect to the grand coalition's worth. The composition axioms ensure that payoffs remain consistent when the game is decomposed and recomposed. The nullified-game consistency axiom requires that when some players' payoffs are fixed, the solution for the remaining players, computed in the game adjusted to account for these fixed payoffs, coincides with their original payoffs. Together with efficiency and a fairness-related axiom, these axioms characterize the proportional division value. |
| title | Characterizations of Proportional Division Value in TU-Games via Fixed-Population Consistency |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2511.05001 |