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Median Two Person Game Theory And Examples Of Its Flexibility In Applications
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Book Synopsis Median Two-person Game Theory and Examples of Its Flexibility in Applications by : John E. Walsh
Download or read book Median Two-person Game Theory and Examples of Its Flexibility in Applications written by John E. Walsh and published by . This book was released on 1970 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered is discrete two-person game theory where the players choose their strategies independently. Use of mixed strategies introduces probabilistic aspects, so that the payoff to a player has a probability distribution. Determination of optimum strategies is simplified when only some reasonable 'representative value' is considered for a distribution. The distribution mean is used for this purpose in expected-value game theory. Another reasonable choice is the distribution median, and this is the basis for median game theory. Median game theory has huge application advantages over expected-value game theory. Payoffs of a very general nature are allowable for median game theory (some payoffs may not even be numbers). Also, optimum solutions are obtainable for virtually all games. These solutions are obtained through orderings of the outcomes of the game (pairs of payoffs, one to each player) according to desirability, with each player doing a separate ordering. The paper first provides an introduction to median game theory and then gives the generally applicable solution, which depends on choices of 'relative desirability' functions by the two players (to order the outcomes). Finally, to illustrate the flexibility of median game theory, there is a discussion (including some examples) about considerations in selection of relative desirability functions. (Author).
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Generally Applicable Solutions for Two-person Median Game Theory by : John Edward Walsh
Download or read book Generally Applicable Solutions for Two-person Median Game Theory written by John Edward Walsh and published by . This book was released on 1969 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-person median game theory has application advantages over expected-value game theory. For example, median game theory is usable when the values in one or both payoff matrices do not satisfy the arithmetical operations (but can be ranked within each matrix). Also, the class of games where the players have optimum solutions is huge compared to (and included) this class for expected-value game theory. Moreover, there is a much larger class where one player, but not necessarily the other, has an optimum solution (no expected-value analogue occurs). The overwhelmingly large class of median games, however, is that where at least one player does not have an optimum solution. That is, for one or both players, no strategy exists (pure or mixed) such that the player can simultaneously be as protective as possible for himself and as vindictive as possible toward the other players. To reasonably resolve such situations a 'relative desirability' function, suitably chosen, is used to order pairs of payoffs, a payoff to each player, that occur for some of the combinations of pure strategies (according to increasing desirability to the player considered). This provides the basis for a compromise 'optimum' solution and identification of a corresponding 'optimum' strategy. (Author).
Book Synopsis Annual Department of Defense Bibliography of Logistics Studies and Related Documents by : United States. Defense Logistics Studies Information Exchange
Download or read book Annual Department of Defense Bibliography of Logistics Studies and Related Documents written by United States. Defense Logistics Studies Information Exchange and published by . This book was released on 1971 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Median Two-person Game Theory for Median Competitive Games by : John Edward Walsh
Download or read book Median Two-person Game Theory for Median Competitive Games written by John Edward Walsh and published by . This book was released on 1969 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: A form of discrete two-person game theory based on median considerations is discussed as having very strong application advantages over expected value game theory. The class of median competitive games, where both players can be simultaneously protective and vindictive, is huge compared to the corresponding class for expected value game theory, and the median approach is usable for games where the numbers in one or both payoff matrices do not satisfy the arithmetical operations. A subclass of the median competitive games is identified. The complete class is specified in this paper and a method is given for determining median optimum strategies. The evaluation methods given are oriented toward minimum application effort.
Book Synopsis Two-person Game Theory by : Anatol Rapoport
Download or read book Two-person Game Theory written by Anatol Rapoport and published by . This book was released on 1966 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
Book Synopsis U.S. Government Research and Development Reports Index by :
Download or read book U.S. Government Research and Development Reports Index written by and published by . This book was released on 1970 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research & Development Reports by :
Download or read book U.S. Government Research & Development Reports written by and published by . This book was released on 1970 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Australian Computer Journal written by and published by . This book was released on 1970 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Two-person Zero-sum Games by : Alan R. Washburn
Download or read book Two-person Zero-sum Games written by Alan R. Washburn and published by INFORMS. This book was released on 2003 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A New Approach to Two-person Game Theory Using Median Considerations by : John E. Walsh
Download or read book A New Approach to Two-person Game Theory Using Median Considerations written by John E. Walsh and published by . This book was released on 1970 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of mixed strategies greatly extends the opportunity to obtain optimum strategies for discrete two-person game theory but introduces probability considerations. That is, the payoffs to the player can have probability distributions. This complicates the determination of optimum strategies. However, this determination can be greatly simplified by only considering some reasonable kind of 'representative value' for a distribution. The distribution mean is used in the expected-value approach. Another reasonable choice is the distribution median, and this is the basis for median game theory. The median approach not only can be applied to the payoffs for each player but also to the possible outcomes (pairs of payoffs, one to each player) for the game. Application of the median approach to the payoffs for each player yields some results that are much more widely applicable than those for expected-value game theory. Median results that are generally usable, for virtually all types of payoffs, are developed by applying the median approach to outcomes. (Author).
Book Synopsis Two-Person Zero-Sum Games by : Alan Washburn
Download or read book Two-Person Zero-Sum Games written by Alan Washburn and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-person zero-sum game theory deals with situations that are perfectly competitive—there are exactly two decision makers for whom there is no possibility of cooperation or compromise. It is the most fundamental part of game theory, and the part most commonly applied. There are diverse applications to military battles, sports, parlor games, economics and politics. The theory was born in World War II, and has by now matured into a significant and tractable body of knowledge about competitive decision making. The advent of modern, powerful computers has enabled the solution of many games that were once beyond computational reach. Two-Person Zero-Sum Games, 4th Ed. offers an up-to-date introduction to the subject, especially its computational aspects. Any finite game can be solved by the brute force method of enumerating all possible strategies and then applying linear programming. The trouble is that many interesting games have far too many strategies to enumerate, even with the aid of computers. After introducing ideas, terminology, and the brute force method in the initial chapters, the rest of the book is devoted to classes of games that can be solved without enumerating every strategy. Numerous examples are given, as well as an extensive set of exercises. Many of the exercises are keyed to sheets of an included Excel workbook that can be freely downloaded from the SpringerExtras website. This new edition can be used as either a reference book or as a textbook.
Book Synopsis U. S. Government Research and Development Reports by :
Download or read book U. S. Government Research and Development Reports written by and published by . This book was released on 1970 with total page 1416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cybernetics Abstracts written by and published by . This book was released on 1971 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1994 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Annual Index by :
Download or read book Government Reports Annual Index written by and published by . This book was released on 1989 with total page 1364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis N-person Game Theory by : Anatol Rapoport
Download or read book N-person Game Theory written by Anatol Rapoport and published by . This book was released on 1970 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some mathematical tools; Applications.
