Download or read book Stability and Nash Implementation in Matching Markets with Couples written by Claus-Jochen Haake and published by . This book was released on 2008 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider two-sided matching markets with couples. First, we extend a result by Klaus and Klijn (2005, Theorem 3.3) and show that for any weakly responsive couples market there always exists a "double stable" matching, i.e., a matching that is stable for the couples market and for any associated singles market. Second, we show that for weakly responsive couples markets the associated stable correspondence is (Maskin) monotonic and Nash implementable. In contrast, the correspondence that assigns all double stable matchings is neither monotonic nor Nash implementable.
Download or read book Matching with Couples written by Fuhito Kojima and published by . This book was released on 2010 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accommodating couples has been a longstanding issue in the design of centralized labor market clearinghouses for doctors and psychologists, because couples view pairs of jobs as complements. A stable matching may not exist when couples are present. We find conditions under which a stable matching exists with high probability in large markets. We present a mechanism that finds a stable matching with high probability, and which makes truth-telling by all participants an approximate equilibrium. We relate these theoretical results to the job market for psychologists, in which stable matchings exist for all years of the data, despite the presence of couples.
Download or read book Monotonicity and Nash Implementation in Matching Markets with Contracts written by Claus-Jochen Haake and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monotonicity and Nash Implementation in Matching Markets with Contracts written by Claus-Jochen Haake and published by . This book was released on 2007 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stable Matchings and the Small Core in Nash Equilibrium in the College Admissions Problem written by Jinpeng Ma and published by . This book was released on 1998 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matching with Couples Revisited written by Itai Ashlagi and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that a stable matching in a many-to-one matching market with couples need not exist. We introduce a new matching algorithm for such markets and show that for a general class of large random markets the algorithm will nd a stable matching with high probability. In particular we allow the number of couples to grow at a near-linear rate. Furthermore, truth-telling is an approximated equilibrium in the game induced by the new matching algorithm. Our results are tight: for markets in which the number of couples grows at a linear rate, we show that with constant probability no stable matching exists.
Download or read book Computational Complexity written by Robert A. Meyers and published by Springer. This book was released on 2011-10-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The recognition that the collective behavior of the whole system cannot be simply inferred from an understanding of the behavior of the individual components has led to the development of numerous sophisticated new computational and modeling tools with applications to a wide range of scientific, engineering, and societal phenomena. Computational Complexity: Theory, Techniques and Applications presents a detailed and integrated view of the theoretical basis, computational methods, and state-of-the-art approaches to investigating and modeling of inherently difficult problems whose solution requires extensive resources approaching the practical limits of present-day computer systems. This comprehensive and authoritative reference examines key components of computational complexity, including cellular automata, graph theory, data mining, granular computing, soft computing, wavelets, and more.
Download or read book Nash Implementation of Stable Solutions in Many to One Matching Problems written by Ville Korpela and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study Nash implementation in many-to-one matching problems also known as college admission problems [Gale and Shapley, College admission and the stability of marriage, Amer. Math. Monthly 69 (1962) 9-15]. In contrast to the previous literature we make no assumptions regarding the preference domain beyond responsiveness [Roth, The college admissions problem is not equivalent to the marriage problem, J. Econ. Theory 36 (1985) 277-288] which rules out complementarities. We show that although subsolutions of the stable many-to-one matching rule do not in general satisfy no veto power, monotonicity is not only a necessary condition, but a suffcient one as well.
Download or read book Stability in Matching With Couples Having Responsive Preferences written by Shashwat Khare and published by . This book was released on 2018 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies matching markets where institutions are matched with possibly more than one individual. The matching market contains some couples who view the pair of jobs as complements. First, we show by means of an example that a stable matching may fail to exist even when both couples and institutions have responsive preferences. Next, we provide conditions on couples' preferences that are necessary and sufficient to ensure a stable matching for every preference profile where institutions may have any responsive reference. Finally, we do the same with respect to institutions' preferences, that is, we provide conditions on institutions' preferences that are necessary and sufficient to ensure a stable matching for every preference profile where couples may have any responsive preference.
Download or read book Two Sided Matching written by Alvin E. Roth and published by Cambridge University Press. This book was released on 1992-06-26 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions. 'This book chronicles one of the outstanding success stories of the theory of games, a story in which the authors have played a major role: the theory and practice of matching markets ... The authors are to be warmly congratulated for this fine piece of work, which is quite unique in the game-theoretic literature.' From the Foreword by Robert Aumann
Download or read book Economics of the Family written by Martin Browning and published by Cambridge University Press. This book was released on 2014-06-05 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, modern, and self-contained account of the research in the growing area of family economics. It is intended for graduate students in economics and for researchers in other fields interested in the economic approach to the family.
Download or read book Game Theory and Applications written by Tatsuro Ichiishi and published by Academic Press. This book was released on 2014-06-28 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory and Applications outlines game theory and proves its validity by examining it alongside the neoclassical paradigm. This book contends that the neoclassical theory is the exceptional case, and that game theory may indeed be the rule. The papers and abstracts collected here explore its recent development and suggest new research directions. - Explains many of the recent central developments in game theory - Highlights new research directions in economic theory which surpass the neoclassical paradigm - Includes game-theoretical analyses in economics, political science, and biology - Written by leading game theorists, economists, political scientists, and biologists
Download or read book Two Simple Mechanisms to the Marriage Problem written by Bora Evci and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose two new mechanisms operating in two-sided matching games. The first mechanism implements the full set of stable matchings for any preference profile in subgame perfect Nash equilibrium. The second mechanism, derived from the first, implements a Matryoshka Partition for every preference profile. That is, the mechanism implements a non-empty subset of stable matchings such that the outcome set includes (wo)men-optimal stable matching, and there does not exist any matching which is not a member of the set and better than some matching in the set in view of (wo)men. In addition, we present a result (Thm 1) generalizing singleton cores in two-sided matching markets.
Download or read book Journal of Economic Theory written by Karl Shell and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Twenty Lectures on Algorithmic Game Theory written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2016-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Download or read book Essays on Matching implementation Theory written by Kim-Sau Chung and published by . This book was released on 1999 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Trends in Economics written by Ahmet Alkan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1990, the Society for the Advancement of Economic Theory (SAET) was founded with the main purpose to advance our knowledge in theoretical economics and to facilitate communication among researchers in economics, mathematics, game theory and any other field which is po tentially useful to economic theory. To achieve these goals, SAET sponsors the research journal Economic Theory published by Springer-Verlag and holds international conferences every other year. The first two conferences SAET took place in the island of Cephalonia, Greece, in the summers of of 1993 and 1995. In the summer of 1997, the conference was held in Antalya, Turkey. The twenty-nine papers in this volume are mostly by participants in the Antalya meeting of SAET and form a broad sample of the 150 papers pre sented there. Topics covered include cooperative and noncooperative games, social choice and welfare, bargaining, matchings, auctions, mechanism de sign, general equilibrium, general equilibrium with finance, industrial or ganization, macroeconomics, and experimental economics. We have chosen to present the papers according to the alphabetical order of first author names instead of grouping them by topic or theme. We have appended a complete listing of the sessions in the conference together with a list of program committee members and of sponsors at the end of the volume.
