Decision Making in Manufacturing and Services
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ISSN 1896-8325
e-ISSN: 2300-7087
Issue Date
2015
Volume
Vol. 9
Number
No. 1
Description
Journal Volume
Decision Making in Manufacturing and Services
Vol. 9 (2015)
Projects
Pages
Articles
Guest editorial
(2015) Bertini, Cesarino; Faliszewski, Piotr; Paliński, Andrzej; Stach, Izabella
On public values and power indices
(2015) Bertini, Cesarino; Stach, Izabella
In this paper, we analyze some values and power indices from a different point of view that are well-defined in the social context where the goods are public. In particular, we consider the Public Good index (Holler, 1982), the Public Good value (Holler and Li, 1995), the Public Help index (Bertini et al., 2008), the König and Bräuninger index (1998) also called the Zipke index (Nevison et al., 1978), and the Rae index (1969). The aims of this paper are: to propose an extension of the Public Help index to cooperative games; to introduce a new power index with its extension to a game value; and to provide some characterizations of the new index and values.
Balancing bilinearly interfering elements
(2015) Carfì, David; Gambarelli, Gianfranco
Many decisions in various fields of application have to take into account the joint effects of two elements that can interfere with each other. This happens, for example, in Medicine (synergic or antagonistic drugs), Agriculture (anti-cryptogamics), Public Economics (interfering economic policies), Industrial Economics (where the demand of an asset can be influenced by the supply of another asset), Zootechnics, and so on. When it is necessary to decide about the dosage of such elements, there is sometimes a primary interest for one effect rather than another; more precisely, it may be of interest that the effects of an element are in a certain proportion with respect to the effects of the other. It may also be necessary to take into account minimum quantities that must be assigned. In Carfì, Gambarelli and Uristani (2013), a mathematical model was proposed to solve the above problem in its exact form. In this paper, we present a solution in closed form for the case in which the function of the effects is bilinear.
Allocating pooled inventory according to contributions and entitlements
(2015) Gerchak, Yigal
Inventory pooling, whether by centralization of stock or by mutual assistance, is known to be beneficial when demands are uncertain. But when the retailers are independent, the question is how to divide the benefits of pooling. We consider a decentralized inventorypooling scheme where a retailer’s entitlements to the allocation during a shortage depend on his/her contributions to the pool. We derive the Nash equilibrium and specialize it to symmetric cases.
On the non-symmetric Nash and Kalai–Smorodinsky Bargaining Solutions
(2015) Gerchak, Yigal
Recently, in some negotiation application areas, the usual assumption that negotiators are symmetric has been relaxed. In particular, weights have been introduced to the Nash Bargaining Solution to reflect the different powers of the players. Yet, we feel that operating with non-symmetric bargaining solutions and their implications is not well understood. We analyze the properties and optimization of the non-symmetric Nash Bargaining Solution and of a non-symmetric Kalai–Smorodinsky Bargaining Solution. We provide extensive comparative statics, then comment on the implications of the concepts in supply chain coordination contexts.