NDLI: Cost Allocation with Variable Production and the Shapley Value

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Cost Allocation with Variable Production and the Shapley Value

Content Provider	Scilit
Author	Albizuri, Miren Josune Santos, Juan Carlos Zarzuelo, José Manuel
Copyright Year	2019
Description	Cooperative game theory and cost allocation are tightly intertwined realms. On the one hand, key notions of the cooperative game theory have proved to be very useful for allocating common costs. On the other hand, practitioners in cost allocation foreshadowed central ideas of the cooperative game theory. In this chapter we give a brief overview of a particular instance of the relationship between these two fields. Specifically we review the cost allocation rules inspired by the Shapley value and the Aumann-Shapley value, in situations in which the involved agents request variable demands. This review is exclusively made from a normative perspective. In the end cost allocation refers to practical problems in which settlements are based on reasonable principles of fairness. Thus we restrict our attention to the axiomatic characterizations of the considered allocation rules. Mainly two kinds of characterizations have been examined. The first one is based on the property of additivity, saying that payments of different problems can be aggregated; and the second one on monotonicity requiring that when the marginal cost decreases a lower cost share must be assigned. Book Name: Handbook of the Shapley Value
Related Links	https://content.taylorfrancis.com/books/download?dac=C2017-0-62091-0&isbn=9781351241410&doi=10.1201/9781351241410-11&format=pdf
Ending Page	217
Page Count	18
Starting Page	200
DOI	10.1201/9781351241410-11
Language	English
Publisher	Informa UK Limited
Publisher Date	2019-12-06
Access Restriction	Open
Subject Keyword	Book Name: Handbook of the Shapley Value History and Philosophy of Science Game Theory Cooperative Game Shapley Value Cost Allocation
Content Type	Text
Resource Type	Chapter

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