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Convex and Exact Games with Non-transferable Utility

  • Péter Csóka

    ()

    (Department of Finance, Corvinus University of Budapest)

  • P. Jean-Jacques Herings

    ()

    (Department of Economics, Maastricht University)

  • László Á. Kóczy

    ()

    (Keleti Faculty of Economics, Budapest Tech and Department of Economics, Maastricht University)

  • Miklós Pintér

    ()

    (Department of Mathematics, Corvinus University of Budapest)

We generalize exactness to games with non-transferable utility (NTU). In an exact game for each coalition there is a core allocation on the boundary of its payoff set. Convex games with transferable utility are well-known to be exact. We study five generalizations of convexity in the NTU setting. We show that each of ordinal, coalition merge, individual merge and marginal convexity can be unified under NTU exactness. We provide an example of a cardinally convex game which is not NTU exact. Finally, we relate the classes of \Pi-balanced, totally \Pi-balanced, NTU exact, totally NTU exact, ordinally convex, cardinally convex, coalition merge convex, individual merge convex and marginal convex games to one another.

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File URL: http://uni-obuda.hu/users/vecseya/RePEc/pkk/wpaper/0904.pdf
File Function: Manuscript, 2009
Download Restriction: no

Paper provided by Óbuda University, Keleti Faculty of Business and Management in its series Working Paper Series with number 0904.

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Length: 18 pages
Date of creation: Jun 2009
Date of revision:
Handle: RePEc:pkk:wpaper:0904
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  1. Peter Csoka & P. Jean-Jacques Herings, & Laszlo A. Koczy, 2007. "Stable Allocations of Risk," IEHAS Discussion Papers 0704, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  2. Branzei, R. & Tijs, S. & Zarzuelo, J., 2009. "Convex multi-choice games: Characterizations and monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 198(2), pages 571-575, October.
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  5. Herings P. Jean-Jacques & Predtetchinski Arkadi, 2002. "A Necessary and Sufficient Condition for Non--emptiness of the Core of a Non--transferable Utility Game," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  6. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Other publications TiSEM cd695be5-0f54-4548-a952-2, Tilburg University, School of Economics and Management.
  7. Hendrickx, R.L.P. & Borm, P.E.M. & Timmer, J.B., 2000. "On Convexity for NTU-Games," Discussion Paper 2000-108, Tilburg University, Center for Economic Research.
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  18. Calleja, Pedro & Borm, Peter & Hendrickx, Ruud, 2005. "Multi-issue allocation situations," European Journal of Operational Research, Elsevier, vol. 164(3), pages 730-747, August.
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