Uncertainty in cooperative interval games: how Hurwicz criterion compatibility leads to egalitarianism
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DOI: 10.1007/s10479-019-03379-9
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- Mallozzi, Lina & Vidal-Puga, Juan, 2019. "Uncertainty in cooperative interval games: How Hurwicz criterion compatibility leads to egalitarianism," MPRA Paper 92730, University Library of Munich, Germany.
References listed on IDEAS
- S. Alparslan-Gök & Silvia Miquel & Stef Tijs, 2009. "Cooperation under interval uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(1), pages 99-109, March.
- Rodica Branzei & Sirma Zeynep Alparslan Gok, 2008. "Bankruptcy problems with interval uncertainty," Economics Bulletin, AccessEcon, vol. 3(56), pages 1-10.
- Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-635, May.
- Koster, Maurice & Boonen, Tim J., 2019. "Constrained stochastic cost allocation," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 20-30.
- Sylvain Béal & André Casajus & Frank Huettner & Eric Rémila & Philippe Solal, 2016.
"Characterizations of weighted and equal division values,"
Theory and Decision, Springer, vol. 80(4), pages 649-667, April.
- Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2016. "Characterizations of Weighted and Equal Division Values," Post-Print halshs-01212085, HAL.
- S. Alparslan-Gök & R. Branzei & V. Fragnelli & S. Tijs, 2013.
"Sequencing interval situations and related games,"
Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(1), pages 225-236, January.
- Alparslan-Gok, S.Z. & Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2008. "Sequencing Interval Situations and Related Games," Discussion Paper 2008-63, Tilburg University, Center for Economic Research.
- Alparslan-Gok, S.Z. & Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2008. "Sequencing Interval Situations and Related Games," Other publications TiSEM a35e7665-7d55-4d14-92b8-7, Tilburg University, School of Economics and Management.
- Bergantinos, Gustavo & Vidal-Puga, Juan J., 2004.
"Additive rules in bankruptcy problems and other related problems,"
Mathematical Social Sciences, Elsevier, vol. 47(1), pages 87-101, January.
- Gustavo Bergantiños & Juan Vidal-Puga, 2003. "Additive rules in bankruptcy problems and other related problems," Game Theory and Information 0304001, University Library of Munich, Germany.
- Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
- Yokote, Koji & Kongo, Takumi & Funaki, Yukihiko, 2018. "The balanced contributions property for equal contributors," Games and Economic Behavior, Elsevier, vol. 108(C), pages 113-124.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2019.
"Coalitional desirability and the equal division value,"
Theory and Decision, Springer, vol. 86(1), pages 95-106, February.
- Sylvain Béal & Eric Rémila & Phillippe Solal, 2017. "Coalitional desirability and the equal division value," Working Papers 2017-08, CRESE.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2019. "Coalitional desirability and the equal division value," Post-Print halshs-01951010, HAL.
- R. Branzei & O. Branzei & S. Alparslan Gök & S. Tijs, 2010. "Cooperative interval games: a survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(3), pages 397-411, September.
- Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
- Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Cores and Stable Sets for Interval-Valued Games," Other publications TiSEM cb5233c0-1616-48e8-983c-6, Tilburg University, School of Economics and Management.
- van den Brink, Rene, 2007. "Null or nullifying players: The difference between the Shapley value and equal division solutions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 767-775, September.
- repec:ebl:ecbull:v:3:y:2008:i:56:p:1-10 is not listed on IDEAS
- Casajus, André & Huettner, Frank, 2013.
"Null players, solidarity, and the egalitarian Shapley values,"
Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 58-61.
- Casajus, André & Hüttner, Frank, 2012. "Null players, solidarity, and the egalitarian Shapley values," Working Papers 113, University of Leipzig, Faculty of Economics and Management Science.
- Aymeric Lardon, 2017.
"Endogenous interval games in oligopolies and the cores,"
Annals of Operations Research, Springer, vol. 248(1), pages 345-363, January.
- Aymeric Lardon, 2016. "Endogenous interval games in oligopolies and the cores," Post-Print halshs-00544044, HAL.
- R. M. Thrall & W. F. Lucas, 1963. "N‐person games in partition function form," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 281-298, March.
- Gök Sırma Zeynep Alparslan & Rodica Branzei & Stef Tijs, 2009. "Airport interval games and their Shapley value," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(2), pages 9-18.
- Jens Leth Hougaard & Hervé Moulin, 2018. "Sharing the cost of risky projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 663-679, May.
- Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Cores and Stable Sets for Interval-Valued Games," Discussion Paper 2008-17, Tilburg University, Center for Economic Research.
- Montemanni, Roberto, 2006. "A Benders decomposition approach for the robust spanning tree problem with interval data," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1479-1490, November.
- S. Alparslan Gök & R. Branzei & S. Tijs, 2010. "The interval Shapley value: an axiomatization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(2), pages 131-140, June.
- Casajus, André & Huettner, Frank, 2014. "Weakly monotonic solutions for cooperative games," Journal of Economic Theory, Elsevier, vol. 154(C), pages 162-172.
- Takaaki Abe & Satoshi Nakada, 2019. "The weighted-egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 197-213, February.
- Rene (J.R.) van den Brink & Osman Palanci & S. Zeynep Alparslan Gok, 2017. "Interval Solutions for Tu-games," Tinbergen Institute Discussion Papers 17-094/II, Tinbergen Institute.
- Deng-Feng Li, 2016. "Models and Methods for Interval-Valued Cooperative Games in Economic Management," Springer Books, Springer, edition 1, number 978-3-319-28998-4, July.
Citations
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Cited by:
- Junnosuke Shino & Shinichi Ishihara & Shimpei Yamauchi, 2022. "Shapley Mapping and Its Axiomatizations in n -Person Cooperative Interval Games," Mathematics, MDPI, vol. 10(21), pages 1-14, October.
- Mallozzi, Lina & Vidal-Puga, Juan, 2022. "Equilibrium and dominance in fuzzy games," MPRA Paper 111386, University Library of Munich, Germany.
- Shinichi Ishihara & Junnosuke Shino, 2023. "Some Properties of Interval Shapley Values: An Axiomatic Analysis," Games, MDPI, vol. 14(3), pages 1-10, June.
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More about this item
Keywords
Cooperative interval games; Hurwicz criterion; Hurwicz compatibility;All these keywords.
JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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