Four-part partition games isomorphic to Silverman's game

Four-part partition games isomorphic to Silverman's game

0.00 Avg rating0 Votes
Article ID: iaor20011461
Country: Netherlands
Volume: 124
Issue: 3
Start Page Number: 629
End Page Number: 640
Publication Date: Aug 2000
Journal: European Journal of Operational Research
Authors: ,
Abstract:

A four-part partition game on a rectangle SI × SII is a two-person zero-sum game, where the strategy sets SI and SII are intervals and the rectangle is partitioned by three curves into four regions on each of which the payoff function is constant. These games generalize Silverman's game, where the boundary curves are of the form y = Tx, y = x and y = x/T. In this paper it is shown that two increasing nonintersecting curves may be chosen arbitrarily and there is a uniquely determined third increasing curve such that if the payoffs are properly related, the game is isomorphic to Silverman's game.

Reviews

Required fields are marked *. Your email address will not be published.