Cominimum Additive Operators
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- Kajii, Atsushi & Kojima, Hiroyuki & Ui, Takashi, 2007. "Cominimum additive operators," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 218-230, February.
References listed on IDEAS
- van den Nouweland, C.G.A.M. & Borm, P.E.M. & Tijs, S.H., 1992. "Allocation rules for hypergraph communication situations," Other publications TiSEM d662c517-fdc1-45ef-8908-6, Tilburg University, School of Economics and Management.
- Jürgen Eichberger & David Kelsey, 1999.
"E-Capacities and the Ellsberg Paradox,"
Theory and Decision,
Springer, vol. 46(2), pages 107-138, April.
- Eichberger, J. & Kelsey, D., 1996. "E-Capacities and the Ellsberg Paradox," Discussion Papers 96-13, Department of Economics, University of Birmingham.
- Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
- van den Nouweland, C.G.A.M. & Borm, P.E.M. & Tijs, S.H., 1992. "Allocation rules for hypergraph communication situations," Other publications TiSEM b97fb9dd-2acf-470d-b9eb-a, Tilburg University, School of Economics and Management.
- Gilboa, Itzhak, 1989.
"Expectation and Variation in Multi-period Decisions,"
Econometrica, Econometric Society, vol. 57(5), pages 1153-1169, September.
- Itzhak Gilboa, 1989. "Expectation and Variation in Multi-Period Decisions," Post-Print hal-00753240, HAL.
- Gilboa, Itzhak & Schmeidler, David, 1989.
"Maxmin expected utility with non-unique prior,"
Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
- Gilboa, Itzhak & Schmeidler, David, 1986. "Maxmin Expected Utility with a Non-Unique Prior," Foerder Institute for Economic Research Working Papers 275405, Tel-Aviv University > Foerder Institute for Economic Research.
- Itzhak Gilboa & David Schmeidler, 1989. "Maxmin Expected Utility with Non-Unique Prior," Post-Print hal-00753237, HAL.
- E. Algaba & J. M. Bilbao & P. Borm & J. J. López, 2000.
"The position value for union stable systems,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(2), pages 221-236, November.
- Algaba, A. & Bilbao, J.M. & Borm, P.E.M. & Lopez, J., 1998. "The position value for union stable systems," Other publications TiSEM fa70d57b-042b-42ea-a574-3, Tilburg University, School of Economics and Management.
- Algaba, A. & Bilbao, J.M. & Borm, P.E.M. & Lopez, J., 2000. "The position value for union stable systems," Other publications TiSEM f7ea939d-770c-43ed-92ae-1, Tilburg University, School of Economics and Management.
- Algaba, A. & Bilbao, J.M. & Borm, P.E.M. & Lopez, J., 1998. "The position value for union stable systems," Research Memorandum FEW 768, Tilburg University, School of Economics and Management.
- van den Nouweland, Anne & Borm, Peter & Tijs, Stef, 1992.
"Allocation Rules for Hypergraph Communication Situations,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 255-268.
- van den Nouweland, C.G.A.M. & Borm, P.E.M. & Tijs, S.H., 1992. "Allocation rules for hypergraph communication situations," Other publications TiSEM b97fb9dd-2acf-470d-b9eb-a, Tilburg University, School of Economics and Management.
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- Takao Asano & Hiroyuki Kojima, 2015. "An axiomatization of Choquet expected utility with cominimum independence," Theory and Decision, Springer, vol. 78(1), pages 117-139, January.
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More about this item
Keywords
Choquet integral; comonotonicity; non-additive probabilities; capacities; cooperative games;All these keywords.
JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
NEP fields
This paper has been announced in the following NEP Reports:- NEP-UPT-2005-12-09 (Utility Models and Prospect Theory)
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