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Convex multi-choice games: Characterizations and monotonic allocation schemes

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  • Branzei, R.
  • Tijs, S.
  • Zarzuelo, J.

Abstract

This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Furthermore, level-increase monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is extendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 198 (2009)
Issue (Month): 2 (October)
Pages: 571-575

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Handle: RePEc:eee:ejores:v:198:y:2009:i:2:p:571-575

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Web page: http://www.elsevier.com/locate/eor

Related research

Keywords: Multi-choice games Convex games Marginal games Weber set Monotonic allocation schemes;

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Cited by:
  1. Peter Csoka & Miklos Pinter, 2011. "On the Impossibility of Fair Risk Allocation," IEHAS Discussion Papers 1117, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  2. Péter Csóka & P. Jean-Jacques Herings & László Á. Kóczy & Miklós Pintér, 2009. "Convex and Exact Games with Non-transferable Utility," Working Paper Series 0904, Óbuda University, Keleti Faculty of Business and Management.
  3. Péter Csóka & P. Herings & László Kóczy, 2011. "Balancedness conditions for exact games," Computational Statistics, Springer, vol. 74(1), pages 41-52, August.
  4. Lohmann, E.R.M.A. & Borm, P.E.M. & Herings, P.J.J., 2011. "Minimal Exact Balancedness," Discussion Paper 2011-012, Tilburg University, Center for Economic Research.

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