Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
N PERSON SILENT GAMES ON SALE IN WHICH THE PRICE IS A UNIMODAL FUNCTION WITH TIME
YOSHINOBU TERAOKA
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2009 Volume 70 Issue 2 Pages 137-142

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Abstract
We consider a class of games which is suggested from the timing problems for putting some kind of farm products on the market. N players take possession of the rights to put some kind of farm products on the market with even ratio. Each of the n players can put the farm products at any time in [0, 1]. The price of them increases over [0,m] ⊂ [0, 1] and decreases over (m, 1] with pass time t as long as none of the n players takes his action, however if one of the n players put his farm products on the market the price falls discontinuously and then fluctuates analogously as before. All players have to put their farm products on the market within the unit interval [0, 1]. In such a situation, each player wishes to put at the optimal time which gives him the highest price, considering opponents’ action time with each other. This model yields us a certain class of n person non-zero sum infinite games.
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© 2009 International Society for Mathematical Sciences
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