Abstract
This paper introduces the new class of one-bound core games, where the core can be described by either a lower bound or an upper bound on the payoffs of the players, named lower bound core games and upper bound core games, respectively. We study the relation of the class of one-bound core games with several other classes of games and characterize the
new class by the structure of the core and in terms of Davis-Maschler reduced games. We also provide explicit expressions and axiomatic characterizations of the nucleolus for one-bound core games, and show that the nucleolus coincides with the Shapley value when these games are convex.
new class by the structure of the core and in terms of Davis-Maschler reduced games. We also provide explicit expressions and axiomatic characterizations of the nucleolus for one-bound core games, and show that the nucleolus coincides with the Shapley value when these games are convex.
Original language | English |
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Publisher | Maastricht University, Graduate School of Business and Economics |
Number of pages | 18 |
DOIs | |
Publication status | Published - 25 Apr 2023 |
Publication series
Series | GSBE Research Memoranda |
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Number | 003 |
ISSN | 2666-8807 |
JEL classifications
- c71 - Cooperative Games
Keywords
- one-bound core games
- lower bound core games
- upper bound core games
- core
- nucleolus