合作博弈的拟预核

The quasi-prekernel for cooperative games

Games and Economic Behavior · 2026
被引 0 · 同刊同年前 8%
人大 AABS 3

中文导读

提出合作博弈的新解概念“拟预核”,它是现有预议价集解的细化,包含预核,并在简单博弈上与之重合,给出了基于简化博弈性质的公理刻画。

Abstract

The quasi-prekernel is a novel solution concept for cooperative games. It is a refinement of existing prebargaining set solutions, notably the reactive, semireactive, and Aumann-Davis-Maschler prebargaining sets. It contains the prekernel, and coincides with that solution on simple games except possibly on balanced simple games with all individual worths equal to zero. An axiomatic characterization based on reduced game properties is provided. The steady version, obtained by putting conditions on objecting and counterobjecting coalitions, is considered as well. Finally, by considering objecting and counterobjecting coalitions independent of specific players, the socalled excess prebargaining obtains, which is another novel solution concept.

准预核合作博弈公理化特征简化博弈性质