Arbeitspapier

A simple mechanism for the roommate problem

Gale and Shapley (1962) proposed that there is a similar game to the marriage problem called "the roommate problem". And, they showed that unlike the marriage problem, the roommate problem may have unstable solutions. In other words, the stability theorem fails for the roommate problem. In this paper, we propose a new mechanism for the roommate problem. The mechanism is successful in determining the reason of instability in our game scenario. And, we show that our mechanism implements the full set of stable matchings in the existence of stability, and it ends up with Pareto Optimal matching in the instance of instability.

Language
Englisch

Bibliographic citation
Series: Quaderni - Working Paper DSE ; No. 975

Classification
Wirtschaft
Bargaining Theory; Matching Theory
Social Choice; Clubs; Committees; Associations
Positive Analysis of Policy Formulation and Implementation

Event
Geistige Schöpfung
(who)
Evci, Bora
Event
Veröffentlichung
(who)
Alma Mater Studiorum - Università di Bologna, Dipartimento di Scienze Economiche (DSE)
(where)
Bologna
(when)
2014

DOI
doi:10.6092/unibo/amsacta/4100
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Evci, Bora
  • Alma Mater Studiorum - Università di Bologna, Dipartimento di Scienze Economiche (DSE)

Time of origin

  • 2014

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