Type Monotonic Allocation Schemes for Multi-Glove Games

Abstract

Multiglove markets and corresponding games are considered. For this class of games we introduce the notion of type monotonic allocation scheme. Allocation rules for multiglove markets based on weight systems are introduced and characterized. These allocation rules generate type monotonic allocation schemes for multiglove games and are also helpful in proving that each core element of the corresponding game is extendable to a type monotonic allocation scheme. The T-value turns out to generate a type monotonic allocation scheme with nice extra properties. The same holds true for the nucleolus, for in multi glove games these two solutions coincide.

Keywords: Multi-glove market game, monotonic allocation scheme, T-value, nucleolus

JEL Classification: C71