Axiomatic characterization of the Nash and Kalai-Smorodinsky solutions for discrete bargaining problems

Somdeb Lahiri

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Axiomatic characterization of the Nash and Kalai-Smorodinsky solutions for discrete bargaining problems

机译：Nash和Kalai-Smorodinsky解决方案的离散议价问题的公理化表征

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This paper addresses a problem in axiomatic bargaining, which is a natural variation of the classical models of Nash and Kalai-Smorodinsky. Departure from the convexity assumption is justified by situations where probability mixture of pure outcomes cannot be implemented. Applications of such problems concern integer allocations of a homogeneous product between two agents, and the problem of fair allocation of indivisible objects among two agents.

机译：本文解决了公理讨价还价中的一个问题，这是Nash和Kalai-Smorodinsky经典模型的自然变化。偏离凸性假设的理由是无法实现纯结果的概率混合。此类问题的应用涉及两个代理之间均质产品的整数分配，以及两个代理之间不可分割对象的公平分配问题。

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《Pure mathematics and applications》 |2003年第3期|共14页
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Somdeb Lahiri;
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正文语种 eng
中图分类数学;
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1. Axiomatic characterization of the Nash and Kalai-Smorodinsky solutions for discrete bargaining problems [J] . Somdeb Lahiri Pure mathematics and applications . 2003,第3期

机译：Nash和Kalai-Smorodinsky解决方案的离散议价问题的公理化表征
2. A characterization of the Kalai-Smorodinsky bargaining solution by disagreement point monotonicity [J] . Shiran Rachmilevitch International Journal of Game Theory . 2011,第4期

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3. Computing the Nash Bargaining Solution for Multiple Players in Discrete-Time Markov Chains Games [J] . Kristal K. Trejo, Julio B. Clempner, Alexander S. Poznyak Cybernetics and Systems . 2020,第1a4期

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4. A novel fair cooperation strategy based on Kalai-Smorodinsky bargaining solution for selfish cooperative relay networks [C] . Chuang Zhang, Honglin Zhao IEEE International Conference on Intelligent Transportation Systems . 2014

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5. Equilibrium wind hedge contract structure through Nash bargaining and stochastic programming. [D] . Sreekumaran, Harikrishnan. 2011

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6. On the Fair Division of Multiple Stochastic Pies to Multiple Agents within the Nash Bargaining Solution [O] . Athanasios C. Karmperis, Konstantinos Aravossis, Ilias P. Tatsiopoulos, -1

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7. Axiomatic Characterization of the Nash and Kalai-Smorodinsky Solution Solutions for Integer Allocation Problems [O] . Somdeb Lahiri 100

机译：Nash和Kalai-smorodinsky解的整体分配问题的公理化表征

Axiomatic characterization of the Nash and Kalai-Smorodinsky solutions for discrete bargaining problems

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