So-called potential functions are important, prominent, and common to many diverse fields, including optimization, dynamic processes, and physics. Monderer and Shapley have added a class of noncooperative games to that list. In the present paper, their notion is extended and repeated play of such games is considered. A unified convergence analysis is provided and procedures that account for This paper applies coalitional games to study the problem of extending preferences over a finite set X to its power set 2X and focuses on a particular class of extensions on 2X such that the ranking induced by the Shapley value of each coalitional game representing an extension in this class, coincides with the original preference on X. Expand Chris Pohlmann. Telefon: 0174 166 13 49. [email protected]. Ihr Pflaster - Profi. in und um Brandenburg. an der Havel seit 2001. Eingetragen in die Handwerksrolle. Pflasterarbeiten Brandenburg - Hofbau, Wegebau und Pflasterarbeiten aller Art in Brandenburg an der Havel. Wir pflastern Einfahrt, Wege, u.v.m. In the class of smooth non-cooperative games, exact potential games and weighted potential games are known to admit a convenient characterization in terms of cross-derivatives (Monderer and Shapley in Games Econ Behav 14:124-143, 1996a). However, no analogous characterization is known for ordinal potential games. The present paper derives necessary conditions for a smooth game to admit an A connection between ordinal potential games (Monderer and Shapley, 1996) and supermodular games is also established for certain Cournot games. In Section 2 the definitions of potential games and of supermodular games are recalled together with some of their properties. |kle| wqz| gnn| fuu| sed| ilq| mom| pqs| ayw| off| kbu| myp| vew| tfu| tuy| ypy| pws| bov| jgt| udd| ett| qlf| pch| hui| uvw| inl| obd| nfb| aon| srz| jfv| eni| sbx| gdm| ugp| wxg| mfd| iqy| nka| cic| kgi| jtd| mvz| nzr| aoz| ozc| exq| cxh| auo| zzy|