Balancing Bilinearly Interfering Elements

Carfì, D.; Gambarelli, G.

doi:10.7494/dmms.2015.9.1.27

Artykuł - szczegóły

Tytuł artykułu

Balancing Bilinearly Interfering Elements

Autorzy

Carfì D. , Gambarelli G.

Treść / Zawartość

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DOI

10.7494/dmms.2015.9.1.27

Warianty tytułu

Konferencja

10th Spain-Italy-Netherlands Meeting on Game Theory (SING10)

Języki publikacji

Abstrakty

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.

Słowa kluczowe

bargaining problems game theory antagonist elements interfering elements optimal dosage synergies

Wydawca

AGH University of Science and Technology Press

Czasopismo

Decision Making in Manufacturing and Services

Rocznik

2015

Tom

Vol. 9, no. 1

Strony

27--49

Opis fizyczny

Bibliogr. 63 poz., rys., wykr.

Twórcy

autor

Carfì D.

davidcarfi@gmail.com

Research Scholar Math Department University of California Riverside California, USA
Visiting Scholar IAMIS, University of California Riverside California, USA

autor

Gambarelli G.

gambarex@unibg.i

Department of Management, Economics and Quantitative Methods, University of Bergamo, Italy

Bibliografia

1. Agreste, S., Carfì, D., Ricciardello, A., 2012. An algorithm for payoff space in C1 parametric games. APPS |Applied Sciences, Balkan Society of Geometers, 14, pp. 1–14. http://www.mathem.pub.ro/apps/v14/A14-ag.pdf.
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