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Pairing Games and Markets

  • Ahmet Alkan

    (Sabanci University, Istanbul)

  • Alparslan Tuncay

    (Sabanci University, Istanbul)

Pairing Games or Markets studied here are the non-two-sided NTU generalization of assignment games. We show that the Equilibrium Set is nonempty, that it is the set of stable allocations or the set of semistable allocations, and that it has several notable structural properties. We also introduce the solution concept of pseudostable allocations and show that they are in the Demand Bargaining Set. We give a dynamic Market Procedure that reaches the Equilibrium Set in a bounded number of steps. We use elementary tools of graph theory and a representation theorem obtained here.

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Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2014.48.

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Date of creation: Apr 2014
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Handle: RePEc:fem:femwpa:2014.48
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  1. Klijn, Flip & Masso, Jordi, 2003. "Weak stability and a bargaining set for the marriage model," Games and Economic Behavior, Elsevier, vol. 42(1), pages 91-100, January.
  2. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July.
  3. Perez-Castrillo, David & Sotomayor, Marilda, 2002. "A Simple Selling and Buying Procedure," Journal of Economic Theory, Elsevier, vol. 103(2), pages 461-474, April.
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  7. Schwarz, Michael & Yenmez, M. Bumin, 2011. "Median stable matching for markets with wages," Journal of Economic Theory, Elsevier, vol. 146(2), pages 619-637, March.
  8. Bettina-Elisabeth Klaus & Flip Klijn & Markus Walzl, 2009. "Farsighted Stability for Roommate Markets," Harvard Business School Working Papers 09-135, Harvard Business School.
  9. Moldovanu, B, 1990. "Stable Bargained Equilibria for Assignment Games without Side Payments," International Journal of Game Theory, Springer, vol. 19(2), pages 171-90.
  10. Andersson, Tommy & Gudmundsson, Jens & Talman, Adolphus & Yang, Zaifu, 2013. "A Competitive Partnership Formation Process," Working Papers 2013:2, Lund University, Department of Economics.
  11. Johan Karlander & Kimmo Eriksson, 2001. "Stable outcomes of the roommate game with transferable utility," International Journal of Game Theory, Springer, vol. 29(4), pages 555-569.
  12. Peter Biro & Matthijs Bomhoff & Walter Kern & Petr A. Golovach & Daniel Paulusma, 2012. "Solutions for the Stable Roommates Problem with Payments," IEHAS Discussion Papers 1211, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  13. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
  14. Paul Milgrom, 2009. "Assignment Messages and Exchanges," American Economic Journal: Microeconomics, American Economic Association, vol. 1(2), pages 95-113, August.
  15. Alkan, Ahmet & Anbarci, Nejat & Sarpça, Sinan, 2012. "An exploration in school formation: Income vs. Ability," Economics Letters, Elsevier, vol. 117(2), pages 500-504.
  16. E. Inarra & C. Larrea & E. Molis, 2008. "Random paths to P-stability in the roommate problem," International Journal of Game Theory, Springer, vol. 36(3), pages 461-471, March.
  17. Marilda Sotomayor, 2009. "Adjusting prices in the multiple-partners assignment game," International Journal of Game Theory, Springer, vol. 38(4), pages 575-600, November.
  18. Bennett, Elaine & Zame, William R, 1988. "Bargaining in Cooperative Games," International Journal of Game Theory, Springer, vol. 17(4), pages 279-300.
  19. Kucuksenel, Serkan, 2011. "Core of the assignment game via fixed point methods," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 72-76, January.
  20. Alkan, Ahmet, 1989. "Existence and computation of matching equilibria," European Journal of Political Economy, Elsevier, vol. 5(2-3), pages 285-296.
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