Topics in Market Design

My dissertation consists of two papers covering distinct topics within Microeconomic Theory. The first chapter is drawn from Matching Theory. One of the oldest but least understood matching problems is Gale and Shapley’s (1962) “roommates problem”: is there a stable way to assign 2N students into N roommate pairs? Unlike the classic marriage problem or college admissions problem…

Author: Morrill, Thayer

Source: University of Maryland

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1 Introduction
2 The Roommates Problem Revisited
2.1 Introduction
2.2 The Roommates Problem Revisited
2.3 The Roommate Swap Algorithm
2.4 Strategic Implications
2.5 Extensions and Modeling Issues
2.5.1 Extensions to the Model
2.5.2 Alternative Equilibrium Concepts
2.6 Conclusion
2.7 Appendix
2.7.1 Computational Complexity
3 Externalities in Networks
3.1 Introduction
3.2 Graph Theory Terminology
3.3 Degree Based Utility Functions
3.3.1 Pairwise Stability
3.3.2 Equilibrium with Transfers
3.4 A Reduced Form Utility Model
3.5 Conclusion
3.6 Appendix – Proofs

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