Reitzig, Raphael; Wild, Sebastian A simple and fast linear-time algorithm for divisor methods of apportionment. (English) Zbl 07807879 Math. Program. 203, No. 1-2 (B), 187-205 (2024). MSC: 68Q25 68Q17 91B12 PDFBibTeX XMLCite \textit{R. Reitzig} and \textit{S. Wild}, Math. Program. 203, No. 1--2 (B), 187--205 (2024; Zbl 07807879) Full Text: DOI OA License
Panova, Elena Sharing cost of network among users with differentiated willingness to pay. (English) Zbl 07786822 Games Econ. Behav. 142, 666-689 (2023). MSC: 91B32 91A80 PDFBibTeX XMLCite \textit{E. Panova}, Games Econ. Behav. 142, 666--689 (2023; Zbl 07786822) Full Text: DOI
Mirás Calvo, Miguel Ángel; Núñez Lugilde, Iago; Quinteiro Sandomingo, Carmen; Sánchez Rodríguez, Estela Refining the Lorenz-ranking of rules for claims problems on restricted domains. (English) Zbl 07753496 Int. J. Econ. Theory 19, No. 3, 526-558 (2023). MSC: 91B32 PDFBibTeX XMLCite \textit{M. Á. Mirás Calvo} et al., Int. J. Econ. Theory 19, No. 3, 526--558 (2023; Zbl 07753496) Full Text: DOI OA License
Zou, Zhengxing; Tan, Zhibin Axiomatizations of convex compromise rules for redistribution of non-negative income. (English) Zbl 1521.91105 Econ. Lett. 229, Article ID 111228, 4 p. (2023). MSC: 91B15 91B64 91A12 PDFBibTeX XMLCite \textit{Z. Zou} and \textit{Z. Tan}, Econ. Lett. 229, Article ID 111228, 4 p. (2023; Zbl 1521.91105) Full Text: DOI
Suh, Sang-Chul; Wang, Yuntong The equal share proportional solution in a permit sharing problem. (English) Zbl 1520.91279 Soc. Choice Welfare 60, No. 3, 477-501 (2023). MSC: 91B76 91B32 PDFBibTeX XMLCite \textit{S.-C. Suh} and \textit{Y. Wang}, Soc. Choice Welfare 60, No. 3, 477--501 (2023; Zbl 1520.91279) Full Text: DOI
Karagözoğlu, Emin; Keskin, Kerim; Sağlam, Çağrı (In)efficiency and equitability of equilibrium outcomes in a family of bargaining games. (English) Zbl 1508.91025 Int. J. Game Theory 52, No. 1, 175-193 (2023). MSC: 91A12 91B32 PDFBibTeX XMLCite \textit{E. Karagözoğlu} et al., Int. J. Game Theory 52, No. 1, 175--193 (2023; Zbl 1508.91025) Full Text: DOI
Babaioff, Moshe; Ezra, Tomer; Feige, Uriel On best-of-both-worlds fair-share allocations. (English) Zbl 07722948 Hansen, Kristoffer Arnsfelt (ed.) et al., Web and internet economics. 18th international conference, WINE 2022, Troy, NY, USA, December 12–15, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13778, 237-255 (2022). MSC: 68M11 91A80 91B26 PDFBibTeX XMLCite \textit{M. Babaioff} et al., Lect. Notes Comput. Sci. 13778, 237--255 (2022; Zbl 07722948) Full Text: DOI arXiv
Labreuche, Christophe Explanation of pseudo-Boolean functions using cooperative game theory and prime implicants. (English) Zbl 1524.68252 Dupin de Saint-Cyr, Florence (ed.) et al., Scalable uncertainty management. 15th international conference, SUM 2022, Paris, France, October 17–19, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13562, 295-308 (2022). MSC: 68T01 68T20 68T27 91A12 PDFBibTeX XMLCite \textit{C. Labreuche}, Lect. Notes Comput. Sci. 13562, 295--308 (2022; Zbl 1524.68252) Full Text: DOI
Calleja, Pedro; Llerena, Francesc Non-manipulability by clones in bankruptcy problems. (English) Zbl 1506.91067 Econ. Lett. 221, Article ID 110921, 6 p. (2022). MSC: 91B32 PDFBibTeX XMLCite \textit{P. Calleja} and \textit{F. Llerena}, Econ. Lett. 221, Article ID 110921, 6 p. (2022; Zbl 1506.91067) Full Text: DOI
Sandomirskiy, Fedor; Segal-Halevi, Erel Efficient fair division with minimal sharing. (English) Zbl 1496.90088 Oper. Res. 70, No. 3, 1762-1782 (2022). MSC: 90C29 90C27 90C90 PDFBibTeX XMLCite \textit{F. Sandomirskiy} and \textit{E. Segal-Halevi}, Oper. Res. 70, No. 3, 1762--1782 (2022; Zbl 1496.90088) Full Text: DOI arXiv
Fragnelli, Vito; Gastaldi, Fabio Integer solutions to bankruptcy problems: the IPROP solution. (English) Zbl 1489.91118 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 161-192 (2022). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{V. Fragnelli} and \textit{F. Gastaldi}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 161--192 (2022; Zbl 1489.91118) Full Text: DOI
Babaei, Fatemeh; Navidi, Hamidreza; Moretti, Stefano A bankruptcy approach to solve the fixed cost allocation problem in transport systems. (English) Zbl 1492.91152 Top 30, No. 2, 332-358 (2022). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{F. Babaei} et al., Top 30, No. 2, 332--358 (2022; Zbl 1492.91152) Full Text: DOI
Ertemel, Sinan; Kumar, Rajnish Rationing rules under uncertain claims: a survey. (English) Zbl 1481.91091 Borkotokey, Surajit (ed.) et al., Game theory and networks. New perspectives and directions. Selected papers based on the presentations at the international conference on game theory and networks, Dibrugarh University, Dibrugarh, India, September 6–8, 2019, and the international seminar on game theory and networks, Dibrugarh University, Dibrugarh, India, September 13–14, 2018. Singapore: Springer. Indian Stat. Inst. Ser., 177-199 (2021). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{S. Ertemel} and \textit{R. Kumar}, in: Game theory and networks. New perspectives and directions. Selected papers based on the presentations at the international conference on game theory and networks, Dibrugarh University, Dibrugarh, India, September 6--8, 2019, and the international seminar on game theory and networks, Dibrugarh University, Dibrugarh, India, September 13--14, 2018. Singapore: Springer. 177--199 (2021; Zbl 1481.91091) Full Text: DOI
Zou, Zhengxing; van den Brink, René; Funaki, Yukihiko Compromising between the proportional and equal division values. (English) Zbl 1479.91161 J. Math. Econ. 97, Article ID 102539, 11 p. (2021). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{Z. Zou} et al., J. Math. Econ. 97, Article ID 102539, 11 p. (2021; Zbl 1479.91161) Full Text: DOI
Sanchez-Soriano, Joaquin Families of sequential priority rules and random arrival rules with withdrawal limits. (English) Zbl 1475.91125 Math. Soc. Sci. 113, 136-148 (2021). MSC: 91B32 PDFBibTeX XMLCite \textit{J. Sanchez-Soriano}, Math. Soc. Sci. 113, 136--148 (2021; Zbl 1475.91125) Full Text: DOI
Dietzenbacher, B.; Estévez-Fernández, A.; Borm, P.; Hendrickx, R. Proportionality, equality, and duality in bankruptcy problems with nontransferable utility. (English) Zbl 1475.91120 Ann. Oper. Res. 301, No. 1-2, 65-80 (2021). MSC: 91B32 91A80 PDFBibTeX XMLCite \textit{B. Dietzenbacher} et al., Ann. Oper. Res. 301, No. 1--2, 65--80 (2021; Zbl 1475.91120) Full Text: DOI Link
Dai, Qianzhi; Li, Yongjun; Lei, Xiyang; Wu, Dengsheng A DEA-based incentive approach for allocating common revenues or fixed costs. (English) Zbl 1487.91053 Eur. J. Oper. Res. 292, No. 2, 675-686 (2021). MSC: 91B32 90B50 90C08 91B06 PDFBibTeX XMLCite \textit{Q. Dai} et al., Eur. J. Oper. Res. 292, No. 2, 675--686 (2021; Zbl 1487.91053) Full Text: DOI
Dorn, Britta; de Haan, Ronald; Schlotter, Ildikó Obtaining a proportional allocation by deleting items. (English) Zbl 1512.91069 Algorithmica 83, No. 5, 1559-1603 (2021). MSC: 91B32 68Q17 68Q27 PDFBibTeX XMLCite \textit{B. Dorn} et al., Algorithmica 83, No. 5, 1559--1603 (2021; Zbl 1512.91069) Full Text: DOI
Cseh, Ágnes; Fleiner, Tamás The complexity of cake cutting with unequal shares. (English) Zbl 1486.91040 ACM Trans. Algorithms 16, No. 3, Article No. 29, 21 p. (2020). MSC: 91B32 68Q25 PDFBibTeX XMLCite \textit{Á. Cseh} and \textit{T. Fleiner}, ACM Trans. Algorithms 16, No. 3, Article No. 29, 21 p. (2020; Zbl 1486.91040) Full Text: DOI arXiv
Singh, Bismark Fairness criteria for allocating scarce resources. (English) Zbl 1448.91140 Optim. Lett. 14, No. 6, 1533-1541 (2020). MSC: 91B32 PDFBibTeX XMLCite \textit{B. Singh}, Optim. Lett. 14, No. 6, 1533--1541 (2020; Zbl 1448.91140) Full Text: DOI
Flores-Szwagrzak, Karol; García-Segarra, Jaume; Ginés-Vilar, Miguel Priority and proportionality in bankruptcy. (English) Zbl 1436.91073 Soc. Choice Welfare 54, No. 4, 559-579 (2020). MSC: 91B32 91G50 PDFBibTeX XMLCite \textit{K. Flores-Szwagrzak} et al., Soc. Choice Welfare 54, No. 4, 559--579 (2020; Zbl 1436.91073) Full Text: DOI Link
Estévez-Fernández, Arantza; Borm, Peter; Fiestras-Janeiro, M. Gloria Nontransferable utility bankruptcy games. (English) Zbl 1435.91014 Top 28, No. 1, 154-177 (2020). MSC: 91A12 91B32 91A80 PDFBibTeX XMLCite \textit{A. Estévez-Fernández} et al., Top 28, No. 1, 154--177 (2020; Zbl 1435.91014) Full Text: DOI
Csóka, Péter; Herings, P. Jean-Jacques Liability games. (English) Zbl 1417.91039 Games Econ. Behav. 116, 260-268 (2019). MSC: 91A12 91B32 PDFBibTeX XMLCite \textit{P. Csóka} and \textit{P. J. J. Herings}, Games Econ. Behav. 116, 260--268 (2019; Zbl 1417.91039) Full Text: DOI Link
Peters, Hans; Schröder, Marc; Vermeulen, Dries Claim games for estate division problems. (English) Zbl 1417.91299 Games Econ. Behav. 116, 105-115 (2019). MSC: 91B32 91A10 PDFBibTeX XMLCite \textit{H. Peters} et al., Games Econ. Behav. 116, 105--115 (2019; Zbl 1417.91299) Full Text: DOI Link
Besner, Manfred Axiomatizations of the proportional Shapley value. (English) Zbl 1410.91302 Theory Decis. 86, No. 2, 161-183 (2019). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{M. Besner}, Theory Decis. 86, No. 2, 161--183 (2019; Zbl 1410.91302) Full Text: DOI Link
Izquierdo, Josep M.; Timoner, Pere Decentralized rationing problems and the proportional rule. (English) Zbl 1406.91220 Econ. Lett. 175, 88-91 (2019). MSC: 91B32 PDFBibTeX XMLCite \textit{J. M. Izquierdo} and \textit{P. Timoner}, Econ. Lett. 175, 88--91 (2019; Zbl 1406.91220) Full Text: DOI Link
Rokhlin, Dmitry B.; Usov, Anatoly Asymptotic efficiency of the proportional compensation scheme for a large number of producers. (English) Zbl 1461.91159 Yugosl. J. Oper. Res. 28, No. 4, 501-520 (2018). MSC: 91B32 91B38 PDFBibTeX XMLCite \textit{D. B. Rokhlin} and \textit{A. Usov}, Yugosl. J. Oper. Res. 28, No. 4, 501--520 (2018; Zbl 1461.91159) Full Text: DOI arXiv
Valencia-Toledo, Alfredo; Vidal-Puga, Juan Duality in land rental problems. (English) Zbl 1525.91107 Oper. Res. Lett. 46, No. 1, 56-59 (2018). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{A. Valencia-Toledo} and \textit{J. Vidal-Puga}, Oper. Res. Lett. 46, No. 1, 56--59 (2018; Zbl 1525.91107) Full Text: DOI Link
Lang, Jérôme; Skowron, Piotr Multi-attribute proportional representation. (English) Zbl 1473.91008 Artif. Intell. 263, 74-106 (2018). MSC: 91B32 68Q25 68W25 PDFBibTeX XMLCite \textit{J. Lang} and \textit{P. Skowron}, Artif. Intell. 263, 74--106 (2018; Zbl 1473.91008) Full Text: DOI arXiv Link
Reitzig, Raphael; Wild, Sebastian Building fences straight and high: an optimal algorithm for finding the maximum length you can cut \(k\) times from given sticks. (English) Zbl 1417.91300 Algorithmica 80, No. 11, 3365-3396 (2018). MSC: 91B32 PDFBibTeX XMLCite \textit{R. Reitzig} and \textit{S. Wild}, Algorithmica 80, No. 11, 3365--3396 (2018; Zbl 1417.91300) Full Text: DOI arXiv
Cseh, Ágnes; Fleiner, Tamás The complexity of cake cutting with unequal shares. (English) Zbl 1415.91176 Deng, Xiaotie (ed.), Algorithmic game theory. 11th international symposium, SAGT 2018, Beijing, China, September 11–14, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11059, 19-30 (2018). MSC: 91B32 PDFBibTeX XMLCite \textit{Á. Cseh} and \textit{T. Fleiner}, Lect. Notes Comput. Sci. 11059, 19--30 (2018; Zbl 1415.91176) Full Text: DOI arXiv
Bergantiños, Gustavo; Chamorro, Jose María; Lorenzo, Leticia; Lorenzo-Freire, Silvia Mixed rules in multi-issue allocation situations. (English) Zbl 1390.91224 Nav. Res. Logist. 65, No. 1, 66-77 (2018). MSC: 91B32 PDFBibTeX XMLCite \textit{G. Bergantiños} et al., Nav. Res. Logist. 65, No. 1, 66--77 (2018; Zbl 1390.91224) Full Text: DOI Link
Ertemel, Sinan; Kumar, Rajnish Proportional rules for state contingent claims. (English) Zbl 1388.91117 Int. J. Game Theory 47, No. 1, 229-246 (2018). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{S. Ertemel} and \textit{R. Kumar}, Int. J. Game Theory 47, No. 1, 229--246 (2018; Zbl 1388.91117) Full Text: DOI Link
Hoefer, Martin; Jiamjitrak, Wanchote On proportional allocation in hedonic games. (English) Zbl 1403.91030 Bilò, Vittorio (ed.) et al., Algorithmic game theory. 10th international symposium, SAGT 2017, L’Aquila, Italy, September 12–14, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-66699-0/pbk; 978-3-319-66700-3/ebook). Lecture Notes in Computer Science 10504, 307-319 (2017). MSC: 91A12 91B32 68Q17 91-04 PDFBibTeX XMLCite \textit{M. Hoefer} and \textit{W. Jiamjitrak}, Lect. Notes Comput. Sci. 10504, 307--319 (2017; Zbl 1403.91030) Full Text: DOI
Chen, Zhou; Cheng, Yukun; Deng, Xiaotie; Qi, Qi; Yan, Xiang Agent incentives of strategic behavior in resource exchange. (English) Zbl 1403.91206 Bilò, Vittorio (ed.) et al., Algorithmic game theory. 10th international symposium, SAGT 2017, L’Aquila, Italy, September 12–14, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-66699-0/pbk; 978-3-319-66700-3/ebook). Lecture Notes in Computer Science 10504, 227-239 (2017). MSC: 91B32 91A43 PDFBibTeX XMLCite \textit{Z. Chen} et al., Lect. Notes Comput. Sci. 10504, 227--239 (2017; Zbl 1403.91206) Full Text: DOI
Abe, Takaaki; Nakada, Satoshi Monotonic redistribution: reconciling performance-based allocation and weighted division. (English) Zbl 1391.91124 Int. Game Theory Rev. 19, No. 4, Article ID 1750022, 14 p. (2017). MSC: 91B64 PDFBibTeX XMLCite \textit{T. Abe} and \textit{S. Nakada}, Int. Game Theory Rev. 19, No. 4, Article ID 1750022, 14 p. (2017; Zbl 1391.91124) Full Text: DOI
Wang, Lu; Li, Li; Luo, Hanwen; Zhang, Zhengyi An improvement algorithm of joint resource allocation based on microcells network proportional fairness. (Chinese. English summary) Zbl 1389.94006 J. Shanghai Norm. Univ., Nat. Sci. 46, No. 1, 23-27 (2017). MSC: 94A05 91B32 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Shanghai Norm. Univ., Nat. Sci. 46, No. 1, 23--27 (2017; Zbl 1389.94006) Full Text: DOI
Harless, Patrick Endowment additivity and the weighted proportional rules for adjudicating conflicting claims. (English) Zbl 1404.91151 Econ. Theory 63, No. 3, 755-781 (2017). MSC: 91B32 PDFBibTeX XMLCite \textit{P. Harless}, Econ. Theory 63, No. 3, 755--781 (2017; Zbl 1404.91151) Full Text: DOI Link
Bergantiños, Gustavo; Moreno-Ternero, Juan D. A new rule for the problem of sharing the revenue from museum passes. (English) Zbl 1408.91114 Oper. Res. Lett. 44, No. 2, 208-211 (2016). MSC: 91B32 91A12 91A46 91A80 PDFBibTeX XMLCite \textit{G. Bergantiños} and \textit{J. D. Moreno-Ternero}, Oper. Res. Lett. 44, No. 2, 208--211 (2016; Zbl 1408.91114) Full Text: DOI Link
Thomson, William A new characterization of the proportional rule for claims problems. (English) Zbl 1396.91329 Econ. Lett. 145, 255-257 (2016). MSC: 91B32 PDFBibTeX XMLCite \textit{W. Thomson}, Econ. Lett. 145, 255--257 (2016; Zbl 1396.91329) Full Text: DOI
Caragiannis, Ioannis; Voudouris, Alexandros A. Welfare guarantees for proportional allocations. (English) Zbl 1356.91062 Theory Comput. Syst. 59, No. 4, 581-599 (2016). MSC: 91B32 91B26 91A80 PDFBibTeX XMLCite \textit{I. Caragiannis} and \textit{A. A. Voudouris}, Theory Comput. Syst. 59, No. 4, 581--599 (2016; Zbl 1356.91062) Full Text: DOI arXiv Link
Subiza, Begoña; Silva-Reus, José A.; Peris, Josep E. Cost sharing solutions defined by non-negative eigenvectors. (English) Zbl 1346.91115 Eur. J. Oper. Res. 244, No. 2, 592-600 (2015). MSC: 91B32 PDFBibTeX XMLCite \textit{B. Subiza} et al., Eur. J. Oper. Res. 244, No. 2, 592--600 (2015; Zbl 1346.91115) Full Text: DOI Link
Thomson, William For claims problems, another compromise between the proportional and constrained equal awards rules. (English) Zbl 1391.91115 J. Dyn. Games 2, No. 3-4, 363-382 (2015). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{W. Thomson}, J. Dyn. Games 2, No. 3--4, 363--382 (2015; Zbl 1391.91115) Full Text: DOI
Thomson, William For claims problems, compromising between the proportional and constrained equal awards rules. (English) Zbl 1367.91093 Econ. Theory 60, No. 3, 495-520 (2015). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{W. Thomson}, Econ. Theory 60, No. 3, 495--520 (2015; Zbl 1367.91093) Full Text: DOI
Miyagishima, Kaname Implementability and equity in production economies with unequal skills. (English) Zbl 1329.91093 Rev. Econ. Des. 19, No. 3, 247-257 (2015). MSC: 91B54 91B32 91B38 PDFBibTeX XMLCite \textit{K. Miyagishima}, Rev. Econ. Des. 19, No. 3, 247--257 (2015; Zbl 1329.91093) Full Text: DOI
Bergantiños, Gustavo; Moreno-Ternero, Juan D. The axiomatic approach to the problem of sharing the revenue from museum passes. (English) Zbl 1311.91131 Games Econ. Behav. 89, 78-92 (2015). MSC: 91B32 91A80 PDFBibTeX XMLCite \textit{G. Bergantiños} and \textit{J. D. Moreno-Ternero}, Games Econ. Behav. 89, 78--92 (2015; Zbl 1311.91131) Full Text: DOI
Giménez-Gómez, José-Manuel; Peris, Josep E. A proportional approach to claims problems with a guaranteed minimum. (English) Zbl 1305.91172 Eur. J. Oper. Res. 232, No. 1, 109-116 (2014). MSC: 91B32 91A12 91A40 PDFBibTeX XMLCite \textit{J.-M. Giménez-Gómez} and \textit{J. E. Peris}, Eur. J. Oper. Res. 232, No. 1, 109--116 (2014; Zbl 1305.91172) Full Text: DOI Link
Karagözoğlu, Emin A noncooperative approach to bankruptcy problems with an endogenous estate. (English) Zbl 1308.91096 Ann. Oper. Res. 217, 299-318 (2014). MSC: 91B32 91A80 91A10 PDFBibTeX XMLCite \textit{E. Karagözoğlu}, Ann. Oper. Res. 217, 299--318 (2014; Zbl 1308.91096) Full Text: DOI Link
Caragiannis, Ioannis; Voudouris, Alexandros A. Welfare guarantees for proportional allocations. (English) Zbl 1403.91205 Lavi, Ron (ed.), Algorithmic game theory. 7th international symposium, SAGT 2014, Haifa, Israel, September 30 – October 2, 2014. Proceedings. Berlin: Springer (ISBN 978-3-662-44802-1/pbk). Lecture Notes in Computer Science 8768, 206-217 (2014). MSC: 91B32 91B15 91A80 PDFBibTeX XMLCite \textit{I. Caragiannis} and \textit{A. A. Voudouris}, Lect. Notes Comput. Sci. 8768, 206--217 (2014; Zbl 1403.91205) Full Text: DOI Link
Heo, Eun Jeong Probabilistic assignment problem with multi-unit demands: a generalization of the serial rule and its characterization. (English) Zbl 1308.91095 J. Math. Econ. 54, 40-47 (2014). MSC: 91B32 90B80 PDFBibTeX XMLCite \textit{E. J. Heo}, J. Math. Econ. 54, 40--47 (2014; Zbl 1308.91095) Full Text: DOI
Janson, Svante Asymptotic bias of some election methods. (English) Zbl 1303.91099 Ann. Oper. Res. 215, 89-136 (2014). MSC: 91B32 91F10 PDFBibTeX XMLCite \textit{S. Janson}, Ann. Oper. Res. 215, 89--136 (2014; Zbl 1303.91099) Full Text: DOI arXiv
Correa, José R.; Schulz, Andreas S.; Stier-Moses, Nicolás E. The price of anarchy of the proportional allocation mechanism revisited. (English) Zbl 1406.91216 Chen, Yiling (ed.) et al., Web and internet economics. 9th international conference, WINE 2013, Cambridge, MA, USA, December 11–14, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-45045-7/pbk). Lecture Notes in Computer Science 8289, 109-120 (2013). MSC: 91B32 90B18 91A43 91A07 PDFBibTeX XMLCite \textit{J. R. Correa} et al., Lect. Notes Comput. Sci. 8289, 109--120 (2013; Zbl 1406.91216) Full Text: DOI
Arin, Javier; Benito-Ostolaza, Juan M. The Lexmax Rule for bankruptcy problems. (English) Zbl 1289.91105 Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume VI. The 6th international conference game theory and management (GTM 2012), June 27–29, 2012, St. Petersburg, Russia. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg University (ISBN 978-5-9924-0080-9/pbk). 8-23 (2013). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{J. Arin} and \textit{J. M. Benito-Ostolaza}, in: Contributions to game theory and management. Volume VI. The 6th international conference game theory and management (GTM 2012), June 27--29, 2012, St. Petersburg, Russia. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg University. 8--23 (2013; Zbl 1289.91105)
Si, Xiaoling; Liang, Liang; Jia, Guozhu; Yang, Li; Wu, Huaqing; Li, Yongjun Proportional sharing and DEA in allocating the fixed cost. (English) Zbl 1284.91289 Appl. Math. Comput. 219, No. 12, 6580-6590 (2013). MSC: 91B32 90C05 PDFBibTeX XMLCite \textit{X. Si} et al., Appl. Math. Comput. 219, No. 12, 6580--6590 (2013; Zbl 1284.91289) Full Text: DOI
Thomson, William A characterization of a family of rules for the adjudication of conflicting claims. (English) Zbl 1282.91168 Games Econ. Behav. 82, 157-168 (2013). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{W. Thomson}, Games Econ. Behav. 82, 157--168 (2013; Zbl 1282.91168) Full Text: DOI Link
Kıbrıs, Özgür; Kıbrıs, Arzu On the investment implications of bankruptcy laws. (English) Zbl 1281.91106 Games Econ. Behav. 80, 85-99 (2013). MSC: 91B32 91A10 91G10 91B15 PDFBibTeX XMLCite \textit{Ö. Kıbrıs} and \textit{A. Kıbrıs}, Games Econ. Behav. 80, 85--99 (2013; Zbl 1281.91106) Full Text: DOI
Thomson, William Game-theoretic analysis of bankruptcy and taxation problems: recent advances. (English) Zbl 1275.91082 Int. Game Theory Rev. 15, No. 3, Article ID 1340018, 14 p. (2013). MSC: 91B32 91A80 91A12 91-02 PDFBibTeX XMLCite \textit{W. Thomson}, Int. Game Theory Rev. 15, No. 3, Article ID 1340018, 14 p. (2013; Zbl 1275.91082) Full Text: DOI
Hinojosa, M. A.; Mármol, A. M.; Sánchez, F. J. Extended proportionality in division problems with multiple references. (English) Zbl 1276.90058 Ann. Oper. Res. 206, 183-195 (2013). MSC: 90C27 PDFBibTeX XMLCite \textit{M. A. Hinojosa} et al., Ann. Oper. Res. 206, 183--195 (2013; Zbl 1276.90058) Full Text: DOI
Bolun, Ion Comparison of indices of disproportionality in PR systems. (English) Zbl 1318.91164 Comput. Sci. J. Mold. 20, No. 2(59), 246-271 (2012). MSC: 91F10 91B12 91B32 PDFBibTeX XMLCite \textit{I. Bolun}, Comput. Sci. J. Mold. 20, No. 2(59), 246--271 (2012; Zbl 1318.91164)
Ye, Heng-Qing; Yao, David D. A stochastic network under proportional fair resource control-diffusion limit with multiple bottlenecks. (English) Zbl 1260.90049 Oper. Res. 60, No. 3, 716-738 (2012). MSC: 90B15 91B32 PDFBibTeX XMLCite \textit{H.-Q. Ye} and \textit{D. D. Yao}, Oper. Res. 60, No. 3, 716--738 (2012; Zbl 1260.90049) Full Text: DOI
Brams, Steven J.; Jones, Michael A.; Klamler, Christian Divide-and-conquer: a proportional, minimal-envy cake-cutting algorithm. (English) Zbl 1231.91045 SIAM Rev. 53, No. 2, 291-307 (2011). MSC: 91A46 91-08 91B32 PDFBibTeX XMLCite \textit{S. J. Brams} et al., SIAM Rev. 53, No. 2, 291--307 (2011; Zbl 1231.91045) Full Text: DOI Link
Kasajima, Yoichi; Velez, Rodrigo A. Reflecting inequality of claims in gains and losses. (English) Zbl 1205.91097 Econ. Theory 46, No. 2, 283-295 (2011). MSC: 91B32 91A12 PDFBibTeX XMLCite \textit{Y. Kasajima} and \textit{R. A. Velez}, Econ. Theory 46, No. 2, 283--295 (2011; Zbl 1205.91097) Full Text: DOI
Kasajima, Yoichi; Velez, Rodrigo A. Non-proportional inequality preservation in gains and losses. (English) Zbl 1232.91365 J. Math. Econ. 46, No. 6, 1079-1092 (2010). MSC: 91B32 PDFBibTeX XMLCite \textit{Y. Kasajima} and \textit{R. A. Velez}, J. Math. Econ. 46, No. 6, 1079--1092 (2010; Zbl 1232.91365) Full Text: DOI
Bergantiños, Gustavo; Lorenzo, Leticia; Lorenzo-Freire, Silvia A characterization of the proportional rule in multi-issue allocation situations. (English) Zbl 1198.91094 Oper. Res. Lett. 38, No. 1, 17-19 (2010). MSC: 91B32 PDFBibTeX XMLCite \textit{G. Bergantiños} et al., Oper. Res. Lett. 38, No. 1, 17--19 (2010; Zbl 1198.91094) Full Text: DOI Link
Pham Do, Kim Hang; Folmer, Henk Fair allocations to discourage free riding behavior. (English) Zbl 1180.91073 Neogy, S. K. (ed.) et al., Modeling, computation and optimization. Hackensack, NJ: World Scientific (ISBN 978-981-4273-50-3/hbk). Statistical Science and Interdisciplinary Research 6, 205-219 (2009). MSC: 91A80 91B32 91B74 91B76 PDFBibTeX XMLCite \textit{K. H. Pham Do} and \textit{H. Folmer}, Stat. Sci. Interdiscip. Res. 6, 205--219 (2009; Zbl 1180.91073)
Thomson, William The two-agent claims-truncated proportional rule has no consistent extension: a constructive proof. (English) Zbl 1255.91193 Econ. Lett. 98, No. 1, 59-65 (2008). MSC: 91B32 91A35 PDFBibTeX XMLCite \textit{W. Thomson}, Econ. Lett. 98, No. 1, 59--65 (2008; Zbl 1255.91193) Full Text: DOI
Yamada, Akira; Yoshihara, Naoki Mechanism design for a solution to the tragedy of commons. (English) Zbl 1152.91619 Rev. Econ. Des. 11, No. 4, 253-270 (2008). MSC: 91B32 PDFBibTeX XMLCite \textit{A. Yamada} and \textit{N. Yoshihara}, Rev. Econ. Des. 11, No. 4, 253--270 (2008; Zbl 1152.91619) Full Text: DOI
Thomson, William On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach. (English) Zbl 1136.91501 Rev. Econ. Des. 11, No. 3, 225-251 (2007). MSC: 91B32 91A80 PDFBibTeX XMLCite \textit{W. Thomson}, Rev. Econ. Des. 11, No. 3, 225--251 (2007; Zbl 1136.91501) Full Text: DOI
Chun, Youngsub; Lee, Junghoon On the convergence of the random arrival rule in large claims problems. (English) Zbl 1274.91264 Int. J. Game Theory 36, No. 2, 259-273 (2007). MSC: 91B32 91B14 91A12 PDFBibTeX XMLCite \textit{Y. Chun} and \textit{J. Lee}, Int. J. Game Theory 36, No. 2, 259--273 (2007; Zbl 1274.91264) Full Text: DOI
Ju, Biung-Ghi; Miyagawa, Eiichi; Sakai, Toyotaka Non-manipulable division rules in claim problems and generalizations. (English) Zbl 1142.91600 J. Econ. Theory 132, No. 1, 1-26 (2007). MSC: 91B32 91B14 91A12 PDFBibTeX XMLCite \textit{B.-G. Ju} et al., J. Econ. Theory 132, No. 1, 1--26 (2007; Zbl 1142.91600) Full Text: DOI
Moreno-Ternero, Juan D. Proportionality and non-manipulability in bankruptcy problems. (English) Zbl 1138.91512 Int. Game Theory Rev. 8, No. 1, 127-139 (2006). MSC: 91B32 PDFBibTeX XMLCite \textit{J. D. Moreno-Ternero}, Int. Game Theory Rev. 8, No. 1, 127--139 (2006; Zbl 1138.91512) Full Text: DOI
Chun, Youngsub; Thomson, William Convergence under replication of rules to adjudicate conflicting claims. (English) Zbl 1152.91614 Games Econ. Behav. 50, No. 2, 129-142 (2005). MSC: 91B32 PDFBibTeX XMLCite \textit{Y. Chun} and \textit{W. Thomson}, Games Econ. Behav. 50, No. 2, 129--142 (2005; Zbl 1152.91614) Full Text: DOI
Meca, Ana; Timmer, Judith; García-Jurado, Ignacio; Borm, Peter Inventory games. (English) Zbl 1044.90007 Eur. J. Oper. Res. 156, No. 1, 127-139 (2004). MSC: 90B05 90B50 91A12 PDFBibTeX XMLCite \textit{A. Meca} et al., Eur. J. Oper. Res. 156, No. 1, 127--139 (2004; Zbl 1044.90007) Full Text: DOI
Bergantiños, Gustavo; Vidal-Puga, Juan J. Additive rules in bankruptcy problems and other related problems. (English) Zbl 1092.91056 Math. Soc. Sci. 47, No. 1, 87-101 (2004). Reviewer: Elias Shiu (Iowa City) MSC: 91B32 91B99 PDFBibTeX XMLCite \textit{G. Bergantiños} and \textit{J. J. Vidal-Puga}, Math. Soc. Sci. 47, No. 1, 87--101 (2004; Zbl 1092.91056) Full Text: DOI
Thomson, William Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey. (English) Zbl 1042.91014 Math. Soc. Sci. 45, No. 3, 249-297 (2003). MSC: 91A80 91B32 91A12 PDFBibTeX XMLCite \textit{W. Thomson}, Math. Soc. Sci. 45, No. 3, 249--297 (2003; Zbl 1042.91014) Full Text: DOI
Chambers, Christopher P.; Thomson, William Group order preservation and the proportional rule for the adjudication of conflicting claims. (English) Zbl 1023.91034 Math. Soc. Sci. 44, No. 3, 235-252 (2002). MSC: 91B38 91B32 91B18 PDFBibTeX XMLCite \textit{C. P. Chambers} and \textit{W. Thomson}, Math. Soc. Sci. 44, No. 3, 235--252 (2002; Zbl 1023.91034) Full Text: DOI
Maniquet, François A study of proportionality and robustness in economies with a commonly owned technology. (English) Zbl 1038.91066 Rev. Econ. Des. 7, No. 1, 1-15 (2002). Reviewer: Alfred Göpfert (Halle) MSC: 91B52 91B40 91B32 PDFBibTeX XMLCite \textit{F. Maniquet}, Rev. Econ. Des. 7, No. 1, 1--15 (2002; Zbl 1038.91066) Full Text: DOI
Herrero, Carmen; Villar, Antonio The three musketeers: four classical solutions to bankruptcy problems. (English) Zbl 1037.91063 Math. Soc. Sci. 42, No. 3, 307-328 (2001). MSC: 91B32 PDFBibTeX XMLCite \textit{C. Herrero} and \textit{A. Villar}, Math. Soc. Sci. 42, No. 3, 307--328 (2001; Zbl 1037.91063) Full Text: DOI
Eyckmans, Johan Nash implementation of a proportional solution to international pollution control problems. (English) Zbl 0930.91035 J. Environ. Econ. Manage. 33, No. 3, 314-330 (1997). MSC: 91B76 91A40 91A12 91B32 PDFBibTeX XMLCite \textit{J. Eyckmans}, J. Environ. Econ. Manage. 33, No. 3, 314--330 (1997; Zbl 0930.91035) Full Text: DOI
Dragan, Irinel; Driessen, Theo; Funaki, Yukihiko Collinearity between the Shapley value and the egalitarian division rules for cooperative games. (English) Zbl 0858.90144 OR Spektrum 18, No. 2, 97-105 (1996). MSC: 91A12 PDFBibTeX XMLCite \textit{I. Dragan} et al., OR Spektrum 18, No. 2, 97--105 (1996; Zbl 0858.90144) Full Text: DOI
Roemer, John E.; Silvestre, Joaquim The proportional solution for economies with both private and public ownership. (English) Zbl 0771.90026 J. Econ. Theory 59, No. 2, 426-444 (1993). MSC: 91B32 91B18 PDFBibTeX XMLCite \textit{J. E. Roemer} and \textit{J. Silvestre}, J. Econ. Theory 59, No. 2, 426--444 (1993; Zbl 0771.90026) Full Text: DOI
Pfingsten, Andreas Surplus-sharing methods. (English) Zbl 0746.90014 Math. Soc. Sci. 21, No. 3, 287-301 (1991). MSC: 91B32 91B40 PDFBibTeX XMLCite \textit{A. Pfingsten}, Math. Soc. Sci. 21, No. 3, 287--301 (1991; Zbl 0746.90014) Full Text: DOI
Uhlich, Gerald R. Descriptive theories of bargaining. An experimental analysis of two- and three-person characteristic function bargaining. (English) Zbl 0694.90096 Lecture Notes in Economics and Mathematical Systems, 341. Berlin etc.: Springer-Verlag. ix, 165 p. DM 39.00 (1990). Reviewer: O.M.Kosheleva MSC: 91A12 91-01 PDFBibTeX XMLCite \textit{G. R. Uhlich}, Descriptive theories of bargaining. An experimental analysis of two- and three-person characteristic function bargaining. Berlin etc.: Springer-Verlag (1990; Zbl 0694.90096)
Müller, Stefan Optimale Schichtung bei proportionaler Aufteilung für mehrere Merkmale. (Optimal stratification in proportional division for several characters). (German) Zbl 0705.62020 Erlangen: Univ., Wirtschafts- u. Sozialwiss. Fak., Diss. 110 S. \(+\) Anhang (1988). MSC: 62D05 62-04 PDFBibTeX XMLCite \textit{S. Müller}, Optimale Schichtung bei proportionaler Aufteilung für mehrere Merkmale. (Optimal stratification in proportional division for several characters). Erlangen: Univ., Wirtschafts- u. Sozialwiss. Fak. (1988; Zbl 0705.62020)
Aumann, Robert J.; Maschler, Michael Game theoretic analysis of a bankruptcy problem from the Talmud. (English) Zbl 0578.90100 J. Econ. Theory 36, 195-213 (1985). Reviewer: G.A.Heuer MSC: 91A12 91A40 PDFBibTeX XMLCite \textit{R. J. Aumann} and \textit{M. Maschler}, J. Econ. Theory 36, 195--213 (1985; Zbl 0578.90100) Full Text: DOI
Schnell A general theorem to a former putting exercise. (Allgemeiner Satz zu einer früher mitgeteilten Uebungsaufgabe.) (German) JFM 15.0474.01 Hoppe Arch. LXX, 197-210 (1884). Reviewer: Maynz, Dr. (Ludwigslust) MSC: 51M04 51M15 51M20 51M25 PDFBibTeX XMLCite \textit{Schnell}, Grunert Arch. 70, 197--210 (1884; JFM 15.0474.01)
Albers, J. The site proportionates of a triangle and its proportional Triangles. (Die Seitenproportionalen eines Dreiecks und die Proportionaldreiecke desselben.) (German) JFM 14.0458.02 Hoppe Arch. LXVIII, 53-72 (1883). Reviewer: Maynz, Dr. (Ludwigslust) MSC: 51-01 51M04 51M15 51M20 PDFBibTeX XMLCite \textit{J. Albers}, Grunert Arch. 68, 53--72 (1883; JFM 14.0458.02)