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Author : Pradeep Dubey
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (612 download)
Download or read book Strategic Substitutes and Potential Games written by Pradeep Dubey and published by . This book was released on 2002 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pradeep Dubey
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (234 download)
Download or read book Strategic Complements and Substitutes, and Potential Games written by Pradeep Dubey and published by . This book was released on 2004 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Monaco
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Games with Strategic Complements and Substitutes written by Andrew Monaco and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies games with both strategic substitutes and strategic complements, and more generally, games with strategic heterogeneity (GSH). Such games may behave differently from either games with strategic complements or games with strategic substitutes. Under mild assumptions (on one or two players only), the equilibrium set in a GSH is totally unordered (no two equilibria are comparable in the standard product order). Moreover, under mild assumptions (on one player only), parameterized GSH do not allow decreasing equilibrium selections. In general, this cannot be strengthened to conclude increasing selections. Monotone comparative statics results are presented for games in which some players exhibit strategic substitutes and others exhibit strategic complements. For two-player games with linearly ordered strategy spaces, there is a characterization. More generally, there are sufficient conditions. The conditions apply only to players exhibiting strategic substitutes; no additional conditions are needed for players with strategic complements. Several examples highlight the results.
Author : Tarun Sabarwal
Publisher : Springer Nature
ISBN 13 : 3030455130
Total Pages : 176 pages
Book Rating : 4.0/5 (34 download)
Download or read book Monotone Games written by Tarun Sabarwal and published by Springer Nature. This book was released on 2020-10-26 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Palgrave Pivot examines monotone games and studies incentives and outcomes when there are multiple players, and how the decision of each player affects the well-being of others in particular ways. Games with strategic complements exhibit codirectional incentives, or incentives for each player to move in the same direction as other players. Games with strategic substitutes exhibit contradirectional incentives, or incentives for each player to move in the direction opposite to other players. Monotone games include both types of players: some players have incentives to move in the same direction as other players and some players have incentives to move in the direction opposite to other players. This book develops the theory of monotone games in a new and unified manner and presents many applications. Incentives and outcomes studied in monotone games occur in a variety of disciplines, including biology, business, computer science, economics, mathematics, medicine, philosophy, political science, and psychology, among others. The book identifies unifying threads across different cases, showing how newer results are similar to or different from previous results, and how readers may better understand them under the umbrella of monotone games.
Author : Quang Duy Lã
Publisher : Springer
ISBN 13 : 3319308696
Total Pages : 172 pages
Book Rating : 4.3/5 (193 download)
Download or read book Potential Game Theory written by Quang Duy Lã and published by Springer. This book was released on 2016-05-26 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a thorough examination of potential game theory and its applications in radio resource management for wireless communications systems and networking. The book addresses two major research goals: how to identify a given game as a potential game, and how to design the utility functions and the potential functions with certain special properties in order to formulate a potential game. After proposing a unifying mathematical framework for the identification of potential games, the text surveys existing applications of this technique within wireless communications and networking problems found in OFDMA 3G/4G/WiFi networks, as well as next-generation systems such as cognitive radios and dynamic spectrum access networks. Professionals interested in understanding the theoretical aspect of this specialized field will find Potential Game Theory a valuable resource, as will advanced-level engineering students. It paves the way for extensive and rigorous research exploration on a topic whose capacity for practical applications is vast but not yet fully exploited.
Author : Jan Potters
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (15 download)
Download or read book Cooperation in Experimental Games of Strategic Complements and Substitutes written by Jan Potters and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tarun Sabarwal
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (13 download)
Download or read book Two Stage 2x2 Games with Strategic Substitutes and Strategic Heterogeneity written by Tarun Sabarwal and published by . This book was released on 2019 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feng and Sabarwal (2018) show that there is additional scope to study strategic complements in extensive form games, by investigating in detail the case of two stage, 2x2 games. We show the same for two stage, 2x2 games with strategic substitutes and with strategic heterogeneity. We characterize strategic substitutes and strategic heterogeneity in such games, and show that the set of each class of games has infinite Lebesgue measure. Our conditions are easy to apply and yield uncountably many examples of such games, indicating greater possibilities for the manifestation and study of these types of interactions. In contrast to the case for strategic complements, we show that generically, the set of subgame perfect Nash equilibria in both classes of games is totally unordered (no two equilibria are comparable). Consequently, with multiple equilibria, some nice features of strategic complements that depend on the complete lattice structure of the equilibrium set may not transfer to the case of strategic substitutes or strategic heterogeneity.
Author : Andrew Monaco
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (13 download)
Download or read book Games with Strategic Heterogeneity written by Andrew Monaco and published by . This book was released on 2019 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies games with both strategic substitutes and strategic complements, and more generally, games with strategic heterogeneity (GSH). Such games may behave differently from either games with strategic complements or games with strategic substitutes. Under mild assumptions (on one or two players only), the equilibrium set in a GSH is totally unordered (no two equilibria are comparable in the standard product order). Moreover, under mild assumptions (on one player only), parameterized GSH do not allow decreasing equilibrium selections. In general, this cannot be strengthened to conclude increasing selections. Monotone comparative statics results are presented for games in which some players exhibit strategic substitutes and others exhibit strategic complements. For two-player games with linearly ordered strategy spaces, there is a characterization. More generally, there are sufficient conditions. The conditions apply only to players exhibiting strategic substitutes; no conditions are needed for players with strategic complements. Several examples highlight the results.
Author : Matthew Embrey
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (13 download)
Download or read book Eliciting Strategies in Indefinitely Repeated Games of Strategic Substitutes and Complements written by Matthew Embrey and published by . This book was released on 2017 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce a novel method to elicit strategies in indefinitely repeated games and apply it to games of strategic substitutes and complements. We find that out of 256 possible unit recall machines (and 1024 full strategies) participants could use, only five machines are used more than 5 percent of the time. Those are “static Nash”, “myopic best response”, “Tit-for-Tat” and two “Nash reversion” strategies. We compare outcome data with “hot” treatments and find that the fact that we elicit strategies did not affect the path of play. We also discuss applications to IO literature and compare insights to previous literature on strategy elicitation mostly focused on the prisoner's dilemma.
Author : Eric Hoffmann
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)
Download or read book Global Games Selection in Games with Strategic Substitutes Or Complements written by Eric Hoffmann and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eric Hoffmann
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)
Download or read book On the Learning and Stability of Mixed Strategy Nash Equilibria in Games of Strategic Substitutes written by Eric Hoffmann and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steve Tadelis
Publisher : Princeton University Press
ISBN 13 : 0691129088
Total Pages : 416 pages
Book Rating : 4.6/5 (911 download)
Download or read book Game Theory written by Steve Tadelis and published by Princeton University Press. This book was released on 2013-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students
Author : Malgorzata Knauff
Publisher : Presses univ. de Louvain
ISBN 13 : 9782874630118
Total Pages : 168 pages
Book Rating : 4.6/5 (31 download)
Download or read book Strategic Complementarities and Endogenous Heterogeneity in Oligopolistic Markets written by Malgorzata Knauff and published by Presses univ. de Louvain. This book was released on 2006 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis consists of five chapters. The first of them contains introduction. Chapter 2 considers a broad class of two player symmetric games, which display a fundamental non-concavity when actions of both players are about to be the same. This implies that no symmetric equilibrium is possible. We distinguish different properties of the payoff functions, like strategic substitutes, complements and quasi-concavity, which are not necessarily imposed globally on the joint action space. A number of applications from industrial organization and applied microeconomics literature are provided. In Chapter 3 we generalize to the extent possible the known results for the case of games with one-dimensional action sets to the general case of games with action spaces that are complete lattices. We find that in the general case the scope for asymmetric equilibrium behavior is definitely broader than in the one-dimensional case, though still quite limited. Moreover, we investigate under which sufficient conditions asymmetric pure strategy Nash equilibria are always Pareto dominated by symmetric pure strategy Nash equilibria. In Chapter 4 we deal with the effects of market transparency on prices in the Bertrand duopoly model. We consider two types of strategic interaction between firms in an industry - strategic complementarities and substitutabilities. In the first case, the results are close to conventional wisdom, especially, when in the same time products are substitutes. Namely, equilibrium prices and profits are always decreasing in transparency level, while the consumer’s surplus is increasing. Considering price competition with strategic substitutes, an ambiguity in the direction of change of prices appears. This leads to ambiguity concerning equilibrium profits and surplus changes caused by increasing transparency. In Chapter 5 we provide general conditions for Cournot oligopoly with product differentiation to have monotonic reaction correspondences. We give a proof for the conditions stated by Vives (1999). Moreover we elaborate more general requirements. They allow for identifying increasing best responses even in case inverse demand is submodular, and similarly, decreasing best responses in case of supermodular inverse demand. Examples illustrating the scope of applicability of these results are provided.
Author : Luis C. Corchón
Publisher : Edward Elgar Publishing
ISBN 13 : 178536328X
Total Pages : 567 pages
Book Rating : 4.7/5 (853 download)
Download or read book Handbook of Game Theory and Industrial Organization, Volume I written by Luis C. Corchón and published by Edward Elgar Publishing. This book was released on 2018-02-23 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of this wide-ranging Handbook contains original contributions by world-class specialists. It provides up-to-date surveys of the main game-theoretic tools commonly used to model industrial organization topics. The Handbook covers numerous subjects in detail including, among others, the tools of lattice programming, supermodular and aggregative games, monopolistic competition, horizontal and vertically differentiated good models, dynamic and Stackelberg games, entry games, evolutionary games with adaptive players, asymmetric information, moral hazard, learning and information sharing models.
Author : Hiroshi Uno
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (838 download)
Download or read book Strategic Complementarities and Nested Potential Games written by Hiroshi Uno and published by . This book was released on 2009 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sunanda Roy
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (13 download)
Download or read book Monotone Comparative Statics for Games with Strategic Substitutes written by Sunanda Roy and published by . This book was released on 2019 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under some conditions, parameterized games with strategic substitutes exhibit monotone comparative statics of equilibria. These conditions relate to a tradeoff between a direct parameter effect and an opposing, indirect strategic substitute effect. If the indirect effect does not dominate the direct effect, monotone comparative statics of equilibria are guaranteed. These conditions are available for best-response functions, differentiable payoff functions, and general payoff functions. Results are extended to correspondences, the analysis applies to asymmetric equilibria, and several examples are provided.
Author : Christian Ewerhart
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (116 download)
Download or read book Ordinal Potentials in Smooth Games written by Christian Ewerhart and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, 1996a). However, no analogous characterization is known for ordinal potential games. The present paper derives simple necessary conditions for a smooth game to admit an ordinal potential. First, any ordinal potential game must exhibit pairwise strategic complements or substitutes at any interior equilibrium. Second, in games with more than two players, a condition is obtained on the (modified) Jacobian at any interior equilibrium. Taken together, these conditions are shown to correspond to a local analogue of the Monderer-Shapley condition for weighted potential games. We identify two classes of economic games for which our necessary conditions are also sufficient.
