caa a22 4500 475814584 CHVBK 20180406123806.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1007/s001820050009 doi (NATIONALLICENCE)springer-10.1007/s001820050009 Games with finite resources [Elektronische Daten] [Thomas S. Ferguson, Costis Melolidakis] Abstract.: Games with Finite Resources as defined by Gale (1957) are two-person zero-sum N-stage games in which each player has N resources and may use each resource once and only once in the N stages. Gale's theorem on these games is generalized in several directions. First the payoff is allowed to be any symmetric function of the stage payoffs. Second, the players are allowed some latitude in choosing which game is being played. Applications are given to some open questions in the area of Inspection Games. Finally the payoff is allowed to be random, thus incorporating a result of Ross (1972) on Goofspiel. Application is made to a game-theoretic version of the Generalized House Selling Problem. Springer-Verlag Berlin Heidelberg, 2000 Key words: Goofspiel nationallicence Inspection Games nationallicence Generalized House Selling nationallicence Sequential Assignment Problem nationallicence Ferguson Thomas S. Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095, USA (email: tom@math.ucla.edu), US aut Melolidakis Costis Department of Mathematics, University of Athens, Panepistemiopolis, GR 157 84, Athens Greece, GR aut https://doi.org/10.1007/s001820050009 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001820050009 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ferguson Thomas S. Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095, USA (email: tom@math.ucla.edu), US aut NATIONALLICENCE 700 1- Melolidakis Costis Department of Mathematics, University of Athens, Panepistemiopolis, GR 157 84, Athens Greece, GR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer