Found 189 Documents (Results 1–100)
New characterizations of the Shapley value using weak differential marginalities. (English) Zbl 1541.91019
MSC:
91A12
Differential marginality, inessential games and convex combinations of values. (English) Zbl 1536.91031
MSC:
91A12
Null players, outside options, and stability: the conditional Shapley value. (English) Zbl 1530.91033
MSC:
91A12
Corrigendum to: “A new axiomatization of the Shapley-solidarity value for games with a coalition structure”. (English) Zbl 1541.91017
MSC:
91A12
Union-wise egalitarian solutions in cooperative games with a coalition structure. (English) Zbl 1527.91010
MSC:
91A12
Marginality and a characterization of the Owen graph value. (English) Zbl 1521.91018
Reviewer: Thomas Wiseman (Austin)
Second-order productivity, second-order payoffs, and the Owen value. (English) Zbl 1503.91016
MSC:
91A12
Solutions for non-negatively weighted TU games derived from extension operators. (English) Zbl 1525.91013
MSC:
91A12
Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution. (English) Zbl 1492.91024
A value for cooperative games with coalition and probabilistic graph structures. (English) Zbl 1491.91013
Networks, communication and hierarchy: applications to cooperative games. (English) Zbl 1511.91006
Petrosyan, Leon A. (ed.) et al., Frontiers of dynamic games. Based on the presentations at the international conference on game theory and management, GTM2020, Saint-Petersburg, Russia, October 5–9, 2020. Cham: Birkhäuser. Trends Math., 1-34 (2021).
On a new method of analyzing properties of efficient, symmetric and linear values of TU-games. (English) Zbl 1483.91027
Second-order productivity, second-order payoffs, and the Shapley value. (English) Zbl 1479.91022
Reviewer: Luigi Palopoli (Rende)
MSC:
91A12
Axiomatizations of Dutta-Ray’s egalitarian solution on the domain of convex games. (English) Zbl 1470.91021
MSC:
91A12
Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values. (English) Zbl 1470.91028
Theory Decis. 91, No. 1, 81-98 (2021); correction ibid. 91, No. 1, 99 (2021).
MSC:
91A12
The dual Lovász extension operator and the Shapley extension operator for TU games. (English) Zbl 1457.91032
Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi solution. (English) Zbl 1461.91018
MSC:
91A12
\(k\)-additive upper approximation of TU-games. (English) Zbl 1478.91008
MSC:
91A12
Stackelberg oligopoly TU-games: characterization and nonemptiness of the core. (English) Zbl 1457.91039
Petrosyan, Leon A. (ed.) et al., Game theoretic analysis. Part. 1. Non-cooperative games and equilibrium analysis. Part 2. Cooperative games and axiomatic values. Hackensack, NJ: World Scientific. 437-452 (2020).
A note on the position value for hypergraph communication situations. (English) Zbl 1442.91009
Du, Ding-Zhu (ed.) et al., Complexity and approximation. In memory of Ker-I Ko. Cham: Springer. Lect. Notes Comput. Sci. 12000, 230-237 (2020).
Marginal contributions and derivatives for set functions in cooperative games. (English) Zbl 1435.91018
MSC:
91A12
Endogenous formation of cooperation structure in TU games. (English) Zbl 1427.91019
Petrosyan, Leon A. (ed.) et al., Frontiers of dynamic games. Game theory and management, St. Petersburg, 2018. Selected talks presented at the 12th international conference “Game Theory and Management”, GTM2018, St. Petersburg, Russia, June 27–29, 2018. Cham: Birkhäuser. Static Dyn. Game Theory: Found. Appl., 49-64 (2019).
Weakly differentially monotonic solutions for cooperative games. (English) Zbl 1426.91016
MSC:
91A12
Procedural and optimization implementation of the weighted ENSC value. (English) Zbl 1426.91020
MSC:
91A12
Players’ nullification and the weighted (surplus) division values. (English) Zbl 1420.91010
MSC:
91A12
Coalitional surplus desirability and the equal surplus division value. (English) Zbl 1414.91025
MSC:
91A12
A Shapley distance in graphs. (English) Zbl 1436.05033
Characteristic functions in a linear oligopoly TU game. (English) Zbl 1419.91055
Petrosyan, Leon A. (ed.) et al., Frontiers of dynamic games. Game theory and management, St. Petersburg, 2017. Selected talks presented at the 11th international conference “Game Theory and Management”, GTM2017, St. Petersburg, Russia, June 28–30, 2017. Cham: Birkhäuser. Static Dyn. Game Theory: Found. Appl., 219-235 (2018).
A new axiomatization of a class of equal surplus division values for TU games. (English) Zbl 1419.91044
MSC:
91A12
Sign symmetry vs symmetry: Young’s characterization of the Shapley value revisited. (English) Zbl 1397.91028
MSC:
91A12
Optimal deterrence of cooperation. (English) Zbl 1407.91025
Reviewer: Sirma Zeynep Alparslan-Gok (Isparta)
Weakly balanced contributions and solutions for cooperative games. (English) Zbl 1409.91018
MSC:
91A12
Constructive and blocking powers in some applications. (English) Zbl 1419.91058
Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume X. The 10th international conference on game theory and management (GTM 2016), St. Petersburg, Russia, July 7–9, 2016. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg State University. 339-349 (2017).
MSC:
91A12
Stackelberg oligopoly TU-games: characterization and nonemptiness of the core. (English) Zbl 1391.91015
From hierarchies to levels: new solutions for games with hierarchical structure. (English) Zbl 1411.91036
Games with a permission structure – a survey on generalizations and applications. (English) Zbl 1414.91037
A-potential function and a non-cooperative foundation for the solidarity value. (English) Zbl 1408.90205
Consistency, population solidarity, and egalitarian solutions for TU-games. (English) Zbl 1378.91022
MSC:
91A12
On the core and bargaining set of a veto game. (English) Zbl 1388.91018
MSC:
91A12
Properties of solutions of cooperative games with transferable utilities. (English. Russian original) Zbl 1414.91034
Russ. Math. 60, No. 6, 63-74 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 6, 73-85 (2016).
MSC:
91A12
Polytopes of special classes of the balanced transferable utility games. (Russian, English) Zbl 1349.91029
Diskretn. Anal. Issled. Oper. 23, No. 1, 97-112 (2016); translation in J. Appl. Ind. Math. 10, No. 1, 145-154 (2016).
Modeling values for TU-games using generalized versions of consistency, standardness and the null player property. (English) Zbl 1414.91032
Characterizations of the core of TU and NTU games with communication structures. (English) Zbl 1390.91025
Reviewer: Agnieszka Rusinowska (Paris)
MSC:
91A12
A fuzzy-core extension of Scarf theorem and related topics. (English) Zbl 1418.91055
Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume VIII. The 8th international conference on game theory and management (GTM 2014), St. Petersburg, Russia, June 25–27, 2014. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg State University. 300-314 (2015).
MSC:
91A12
Determining the nucleolus of compromise stable games. (English) Zbl 1339.91010
Reviewer: Agnieszka Rusinowska (Paris)
MSC:
91A12
Axiomatizations and a noncooperative interpretation of the {\(\alpha\)}-CIS value. (English) Zbl 1330.90050
Symmetric core of cooperative side payments game. (English) Zbl 1347.91044
Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume VII. The 7th international conference on game theory and management (GTM 2013), St. Petersburg, Russia, June 26–28, 2013. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg State University. 428-437 (2014).
MSC:
91A12
On monotonicity of the SM-nucleolus and the \(\alpha\)-nucleolus. (English) Zbl 1347.91024
Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume VII. The 7th international conference on game theory and management (GTM 2013), St. Petersburg, Russia, June 26–28, 2013. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg State University. 8-16 (2014).
MSC:
91A12
Order monotonic solutions for generalized characteristic functions. (English) Zbl 1338.91018
MSC:
91A12
C-complete sets for compromise stable games. (English) Zbl 1304.91026
Reviewer: George Stoica (Saint John)
MSC:
91A12
Collusion, quarrel, and the Banzhaf value. (English) Zbl 1336.91013
Reviewer: Peter Sudhölter (Odense)
MSC:
91A12
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