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Title: Financial problems and cooperation

Abstract

For a Bank, an usual way to attract new clients is by offering better interest rates depending on the amount of money that the client deposits in an account: {open_quotes}The more money you have the higher interest rate you get{close_quotes}. For a company is also a common practice to offer their clients discounts connected with the number of units of the product they order: {open_quotes}The more you order, the lower price per unit you pay{close_quotes}. From these situations arises the possibility to take profit if the clients cooperate and join their money or their orders. Hence, we define a new class of cooperative games called Financial Games. We study basic properties and necessary conditions for a game to belong to this class of games and we define the concept of duality for Financial games. The core is always non-empty and, moreover, Financial games are always totally balanced. We look at some special amputations lying in the Core and we study the reduced game on the j{sup th} player at {rvec x} where x{sub j} = b{sub j} = v(N) {minus} v(N {minus} j).

Authors:
Publication Date:
OSTI Identifier:
36157
Report Number(s):
CONF-9408161-
TRN: 94:009753-0435
Resource Type:
Conference
Resource Relation:
Conference: 15. international symposium on mathematical programming, Ann Arbor, MI (United States), 15-19 Aug 1994; Other Information: PBD: 1994; Related Information: Is Part Of Mathematical programming: State of the art 1994; Birge, J.R.; Murty, K.G. [eds.]; PB: 312 p.
Country of Publication:
United States
Language:
English
Subject:
29 ENERGY PLANNING AND POLICY; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; ECONOMIC ANALYSIS; MATHEMATICAL MODELS; COMPUTERIZED SIMULATION; MARKETING RESEARCH; ALGORITHMS

Citation Formats

Izquierdo, J. Financial problems and cooperation. United States: N. p., 1994. Web.
Izquierdo, J. Financial problems and cooperation. United States.
Izquierdo, J. 1994. "Financial problems and cooperation". United States.
@article{osti_36157,
title = {Financial problems and cooperation},
author = {Izquierdo, J},
abstractNote = {For a Bank, an usual way to attract new clients is by offering better interest rates depending on the amount of money that the client deposits in an account: {open_quotes}The more money you have the higher interest rate you get{close_quotes}. For a company is also a common practice to offer their clients discounts connected with the number of units of the product they order: {open_quotes}The more you order, the lower price per unit you pay{close_quotes}. From these situations arises the possibility to take profit if the clients cooperate and join their money or their orders. Hence, we define a new class of cooperative games called Financial Games. We study basic properties and necessary conditions for a game to belong to this class of games and we define the concept of duality for Financial games. The core is always non-empty and, moreover, Financial games are always totally balanced. We look at some special amputations lying in the Core and we study the reduced game on the j{sup th} player at {rvec x} where x{sub j} = b{sub j} = v(N) {minus} v(N {minus} j).},
doi = {},
url = {https://www.osti.gov/biblio/36157}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Dec 31 00:00:00 EST 1994},
month = {Sat Dec 31 00:00:00 EST 1994}
}

Conference:
Other availability
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