Stable partitions for proportional generalized claims problems

B-Tier
Journal: Games and Economic Behavior
Year: 2024
Volume: 147
Issue: C
Pages: 485-516

Authors (2)

Gallo, Oihane (not in RePEc) Klaus, Bettina (Université de Lausanne)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We consider a set of agents who have claims on an endowment that is not large enough to cover all claims. Agents can form coalitions but a minimal coalition size θ is required to have positive coalitional funding that is proportional to the sum of the claims of its members. We analyze the structure of stable partitions when coalition members use well-behaved rules to allocate coalitional endowments, e.g., the well-known constrained equal awards rule (CEA) or the constrained equal losses rule (CEL). For continuous, (strictly) resource monotonic, and consistent rules, stable partitions with (mostly) θ-size coalitions emerge. For CEA and CEL we provide algorithms to construct such a stable partition formed by (mostly) θ-size coalitions.

Technical Details

RePEc Handle
repec:eee:gamebe:v:147:y:2024:i:c:p:485-516
Journal Field
Theory
Author Count
2
Added to Database
2026-01-25