{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T22:02:16Z","timestamp":1648591336496},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2015,3]]},"abstract":"<jats:p> A noncooperative game is said to be nonmonetized if the ranges of the utilities (payoffs) of the players are preordered sets. In this paper, we examine some nonmonetized noncooperative games in which both of the collection of strategies and the ranges of the utilities for the players are preordered sets. Then, we spread the concept of extended Nash equilibria of noncooperative games from posets to preordered sets. By applying some fixed point theorems on preordered sets and by using the order preserving property of the utilities, we prove an existence theorem of extended Nash equilibria for nonmonetized noncooperative games. <\/jats:p>","DOI":"10.1142\/s0219198915400095","type":"journal-article","created":{"date-parts":[[2014,12,9]],"date-time":"2014-12-09T01:30:04Z","timestamp":1418088604000},"page":"1540009","source":"Crossref","is-referenced-by-count":0,"title":["Extended Nash Equilibria of Nonmonetized Noncooperative Games on Preordered Sets"],"prefix":"10.1142","volume":"17","author":[{"given":"Jinlu","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shawnee State University, Portsmouth, Ohio 45662, USA"}]}],"member":"219","published-online":{"date-parts":[[2015,3,2]]},"reference":[{"key":"rf1","first-page":"229","volume":"154","author":"Agarwal R. P.","year":"2012","journal-title":"J. Optimal Theory Appl."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-5008-4"},{"key":"rf3","volume-title":"Mathematical Methods of Games and Economic Theory","author":"Aubin J. P.","year":"1979"},{"key":"rf4","volume-title":"Contributions to the Theory of Games","author":"Bohnenblust H. F.","year":"1950"},{"key":"rf5","volume-title":"Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory","author":"Carl S.","year":"2010"},{"key":"rf6","volume-title":"Theory of Value: An Axiomatic Analysis of Economic Equilibrium","author":"Debreu G.","year":"1959"},{"key":"rf7","volume-title":"Linear Operators, Part I: Genearal Theory","author":"Dunford N.","year":"1958"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-003-2686-z"},{"key":"rf9","unstructured":"F.\u00a0Giannessi, Variational Inequalities and Complementarity Problems (Wiley, NY, 1980)\u00a0pp. 151\u2013186."},{"key":"rf10","first-page":"170","volume":"3","author":"Glicksberg I.","year":"1952","journal-title":"Proc. Amer. Math. Soc."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2012.07.035"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.9734\/BJEMT\/2014\/4618"},{"key":"rf14","volume-title":"On Vector Variational Inequalities in Reflexive Banach Spaces, Microeconomic Theory","author":"Mas-Colell A.","year":"1995"},{"key":"rf16","volume-title":"Foundations of Economic Analysis","author":"Samuelson P.","year":"1947"},{"key":"rf17","volume-title":"The Theory of Games and Economic Behavior","author":"Von Neumann J.","year":"1944"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198915400095","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T14:05:28Z","timestamp":1565100328000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198915400095"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":15,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2015,3,2]]},"published-print":{"date-parts":[[2015,3]]}},"alternative-id":["10.1142\/S0219198915400095"],"URL":"https:\/\/doi.org\/10.1142\/s0219198915400095","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3]]}}}