Titlebook: Game Theory and Networks; New Perspectives and Surajit Borkotokey,Rajnish Kumar,Sudipta Sarangi Book 2021 The Editor(s) (if applicable) and

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Linear Operators on Banach Spaces,has been reinvigorated by parallel developments of network theory and applications in physics, computer science, biology, and sociology. We have summarized some of these developments here along with references to the original works so that the reader can directly consult the relevant material. We wo

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2523-3114 ematics, statistics, economics, computer science, political science, sociology and psychology. It aims at providing a suitable learning experience to beginners on the basics of cooperative games, networks and m978-981-16-4737-6Series ISSN 2523-3114 Series E-ISSN 2523-3122

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Linear Games and Complementarity ProblemsThen we extend some of the bimatrix game results of Parthasarthy and Raghavan to bi-linear games. We show that the existence of equilibrium pairs for bi-linear games is equivalent to the existence of solutions of a corresponding conic optimization problem. Also, we characterize the equilibrium strat

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Synapse

The Efficient, Symmetric and Linear Values for Cooperative Games and Their Characterizationsnsferable utilities, popularly known as the ESL values of TU games. The second part introduces a particular subclass of the ESL values which we call the class of extended generalized egalitarian Shapley values. We provide a characterization of the proposed value that builds on the characterization p

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Rationing Rules Under Uncertain Claims: A Survey claims or probability distributions. A rule must distribute shares before uncertainty resolves. We introduce proportional rules, parametric rules, equal-quantile rules, and expected waste-constrained uniform gains rules in this framework. We provide an axiomatic characterization of these rules usin