Scarcity, competition, and value
- We suggest a value for finite coalitional games with transferable utility that are enriched by non-negative weights for the players. In contrast to other weighted values, players stand for types of agents and weights are intended to represent the population sizes of these types. Therefore, weights do not only affect individual payoffs but also the joint payoff. Two principles guide the behavior of this value. Scarcity: The generation of worth is restricted by the scarcest type. Competition: Only scarce types are rewarded. We find that the types’ payoffs for this value coincide with the payoffs assigned by the Mertens value to their type populations in an associated infinite game.
Document Type: | Working Paper |
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Language: | English |
Author: | André Casajus, Harald Wiese |
Chairs and Professorships: | Chair of Economics and Information Systems |
Parent Title (English): | HHL Working paper |
Series (Serial Number): | HHL-Arbeitspapier / HHL Working paper (143) |
Place of publication: | Leipzig |
Publisher: | HHL Leipzig Graduate School of Management |
Year of Completion: | 2015 |
Page Number: | 14 |
Tag: | Lovász extension; Mertens value; Partnership; Shapley value; Strong monotonicity; TU game; Vector measure game |
Licence (German): | ![]() |