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Matchings with externalities and attitudes

Published: 06 May 2013 Publication History

Abstract

Two-sided matchings are an important theoretical tool used to model markets and social interactions. In many real-life problems the utility of an agent is influenced not only by their own choices, but also by the choices that other agents make. Such an influence is called an externality. Whereas fully expressive representations of externalities in matchings require exponential space, in this paper we propose a compact model of externalities, in which the influence of a match on each agent is computed additively. Under this framework, we analyze many-to-many matchings and one-to-one matchings where agents take different attitudes when reasoning about the actions of others. In particular, we study optimistic, neutral and pessimistic attitudes and provide both computational hardness results and polynomial-time algorithms for computing stable outcomes.

References

[1]
H. Aziz, F. Brandt, and H. G. Seedig. Stable partitions in additively separable hedonic games. In Proceedings of AAMAS, pages 183--190, 2011.
[2]
E. Bodine-Baron, C. Lee, A. Chong, B. Hassibi, and A. Wierman. Peer effects and stability in matching markets. In Proceedings of SAGT, 2011.
[3]
D. Braziunas and C. Boutilier. Preference elicitation and generalized additive utility. In Proceedings of AAAI, pages 1573--1576, 2006.
[4]
R. Burkard, M. Dell'Amico, and S. Martello. Assignment Problems. SIAM, 2009.
[5]
B. Dutta and J. Masso. Stability of Matchings when Individuals have Preferences over Colleagues. J. Econ. Theory, 75:464--475, 1997.
[6]
F. Echenique and J. Oviedo. A Theory of Stability in Many-to-Many Matching Markets. Theoretical Economics, 1(2):233--273, 2006.
[7]
M. R. Garey and D. S. Johnson. Computers and Intractability: A Guide to the Theory of NP-Completeness. W. H. Freeman, 1979.
[8]
G. Gigerenzer and R. Selten, editors. Bounded rationality: The adaptive toolbox. MIT Press, 2001.
[9]
I. Hafalir. Stability of marriage with externalities. Int. J. Game Theory, 37:353--370, 2008.
[10]
M. O. Jackson. Social and Economic Networks. Princeton University Press, 2008.
[11]
B. Klaus and M. Walzl. Stable Many-to-Many Matchings with Contracts. J. Math. Econ., 45(7--8):422--434, 2009.
[12]
L. Koczy. A Recursive Core for Partition Function Form Games. Theor. Decis., 63:41--51, 2007.
[13]
L. Koczy. Sequential Coalition Formation and the Core in the Presence of Externalities. Game. Econ. Behav., 66(1):559--565, 2009.
[14]
A. E. Roth and M. O. Sotomayor. Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis. Cambridge University Press, 1990.
[15]
H. Sasaki and M. Toda. Two-Sided Marriage Problems with Externalities. J. Econ. Theory, 70(1):93--108, 1996.

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AAMAS '13: Proceedings of the 2013 international conference on Autonomous agents and multi-agent systems
May 2013
1500 pages
ISBN:9781450319935

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  • IFAAMAS

In-Cooperation

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International Foundation for Autonomous Agents and Multiagent Systems

Richland, SC

Publication History

Published: 06 May 2013

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Author Tags

  1. coalitional games
  2. externalities
  3. matchings

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  • Research-article

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AAMAS '13
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AAMAS '13 Paper Acceptance Rate 140 of 599 submissions, 23%;
Overall Acceptance Rate 1,155 of 5,036 submissions, 23%

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