Using Computer Algebra To Find Nash Equilibria

机译：使用计算机代数查找纳什均衡

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A central concern of game theory is the computation of Nash equilibria. These are characterized by systems of polynomial equations and inequalities. We survey the use of currently available software to solve these systems, and conclude that polyhedral homotopy continuation appears to scale best with increasing problem size.

机译：博弈论的中心问题是纳什均衡的计算。这些以多项式方程和不等式系统为特征。我们调查了使用当前可用的软件来解决这些系统的问题，并得出结论，随着问题规模的增加，多面体同位体延续似乎可以最佳地扩展。

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《International Symposium on Symbolic and Algebraic Computation Aug 3-6, 2003 Philadelphia, Pennsylvania, USA》|2003年|p.74-79|共6页
会议地点 Philadelphia PA(US);Philadelphia PA(US)
作者
Ruchira S. Datta;
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作者单位

Department of Mathematics University of California Berkeley, California 94720;

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会议组织
原文格式 PDF
正文语种 eng
中图分类 O2;
关键词
game theory; polynomial systems; groebner bases; polyhedral homotopy continuation;

机译：博弈论;多项式系统; groebner基;多面同伦连续;

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专利

1. Finding all Nash equilibria of a finite game using polynomial algebra [J] . Ruchira S. Datta Economic Theory . 2010,第1期

机译：使用多项式代数找到有限博弈的所有纳什均衡
2. POINCARé CODE: A package of open-source implements for normalization and computer algebra reduction near equilibria of coupled ordinary differential equations [J] . Mikram J., Zinoun F., El Abdllaoui A. Computer physics communications . 2013,第9期

机译：POINCARéCODE：一整套开源工具，用于在耦合常微分方程的平衡点附近进行归一化和计算机代数还原
3. A Computer Algebra Approach to Solving Chemical Equilibria in General Chemistry [J] . Kalainoff M., Lachance R., Riegner D., PRIMUS: problems, resources, and issues in mathematics undergraduate studies . 2012,第1a8期

机译：解决通用化学中化学平衡的计算机代数方法
4. Using computer algebra to find nash equilibria [C] . Ruchira S. Datta International symposium on Symbolic and algebraic computation . 2003

机译：使用计算机代数找到纳什均衡
5. Two new computer based results in game theory related to combinatorial games and Nash equilibria. [D] . Oudalov, Vladimir. 2013

机译：博弈论中两个新的基于计算机的结果与组合博弈和纳什均衡有关。
6. Dynamical selection of Nash equilibria using reinforcement learning: Emergence of heterogeneous mixed equilibria [O] . Robin Nicole, Peter Sollich -1

机译：使用强化学习的纳什均衡动力学选择：异质混合均衡的出现
7. Using Computer Algebra to Find Nash Equilibria [O] . Ruchira S. Datta 2003

机译：使用计算机代数查找纳什均衡

Using Computer Algebra To Find Nash Equilibria

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