The grand dividends value

Besner, Manfred (2021): The grand dividends value.

Abstract

We propose a value for games with transferable utility, called the grand dividends value. This new value is an alternative to the Shapley value, especially in games where the worth of a coalition depends on goods that are more or less arbitrarily multipliable or applicable, particularly in the intellectual property domain. The concept of grand dividends, representing the surplus (which can also be non-positive) of the worth of the grand coalition over the worths of all coalitions where one player of the player set has been removed, is the initial point. All the axiomatizations presented have an analogous equivalent for the Shapley value, including the classics by Shapley and Young. A further new concept, called multiple dividends, provides a close connection to the Shapley value.

• Item Type: MPRA Paper
• Language: English
• Keywords: Cooperative game; (Harsanyi/Grand/Multiple) Dividends ; Shapley value; Grand dividends value
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory; C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games

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