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A Hybrid Simulation-based Duopoly Game Framework for Analysis of Supply Chain and Marketing Activities
arXiv - CS - Systems and Control Pub Date : 2020-09-20 , DOI: arxiv-2009.09352
Dong Xu, Chao Meng, Qingpeng Zhang, Puneet Bhardwaj, Young-Jun Son

A hybrid simulation-based framework involving system dynamics and agent-based simulation is proposed to address duopoly game considering multiple strategic decision variables and rich payoff, which cannot be addressed by traditional approaches involving closed-form equations. While system dynamics models are used to represent integrated production, logistics, and pricing determination activities of duopoly companies, agent-based simulation is used to mimic enhanced consumer purchasing behavior considering advertisement, promotion effect, and acquaintance recommendation in the consumer social network. The payoff function of the duopoly companies is assumed to be the net profit based on the total revenue and various cost items such as raw material, production, transportation, inventory and backorder. A unique procedure is proposed to solve and analyze the proposed simulation-based game, where the procedural components include strategy refinement, data sampling, gaming solving, and performance evaluation. First, design of experiment and estimated conformational value of information techniques are employed for strategy refinement and data sampling, respectively. Game solving then focuses on pure strategy equilibriums, and performance evaluation addresses game stability, equilibrium strictness, and robustness. A hypothetical case scenario involving soft-drink duopoly on Coke and Pepsi is considered to illustrate and demonstrate the proposed approach. Final results include P-values of statistical tests, confidence intervals, and simulation steady state analysis for different pure equilibriums.

中文翻译:

用于分析供应链和营销活动的基于混合模拟的双头垄断博弈框架

提出了一种涉及系统动力学和基于代理的模拟的基于混合模拟的框架,以解决考虑多个战略决策变量和丰厚回报的双头垄断游戏,这是涉及封闭式方程的传统方法无法解决的问题。系统动力学模型用于表示双寡头公司的综合生产、物流和定价确定活动,而基于代理的模拟则用于模拟消费者社交网络中考虑广告、促销效果和熟人推荐的增强型消费者购买行为。双头垄断企业的支付函数假设为基于总收入和原材料、生产、运输、库存和缺货等各种成本项目的净利润。提出了一种独特的程序来解决和分析所提出的基于模拟的游戏,其中程序组件包括策略细化、数据采样、游戏求解和性能评估。首先,将实验设计和信息技术的估计构象值分别用于策略细化和数据采样。博弈解决然后专注于纯策略均衡,而性能评估则解决博弈稳定性、均衡严格性和鲁棒性。一个涉及可乐和百事可乐的软饮料双头垄断的假设案例被认为是为了说明和证明所提出的方法。最终结果包括统计检验的 P 值、置信区间和不同纯平衡的模拟稳态分析。其中程序组件包括策略细化、数据采样、博弈解决和绩效评估。首先,实验设计和信息技术的估计构象值分别用于策略细化和数据采样。博弈解决然后专注于纯策略均衡,而性能评估则解决博弈稳定性、均衡严格性和鲁棒性。一个涉及可乐和百事可乐的软饮料双头垄断的假设案例被认为是为了说明和证明所提出的方法。最终结果包括统计检验的 P 值、置信区间和不同纯平衡的模拟稳态分析。其中程序组件包括策略细化、数据采样、博弈解决和绩效评估。首先,实验设计和信息技术的估计构象值分别用于策略细化和数据采样。博弈解决然后专注于纯策略均衡,而性能评估则解决博弈稳定性、均衡严格性和鲁棒性。一个涉及可乐和百事可乐的软饮料双头垄断的假设案例被认为是为了说明和证明所提出的方法。最终结果包括统计检验的 P 值、置信区间和不同纯平衡的模拟稳态分析。实验设计和信息技术的估计构象值分别用于策略细化和数据采样。博弈解决然后专注于纯策略均衡,而性能评估则解决博弈稳定性、均衡严格性和鲁棒性。一个涉及可乐和百事可乐的软饮料双头垄断的假设案例被认为是为了说明和证明所提出的方法。最终结果包括统计检验的 P 值、置信区间和不同纯平衡的模拟稳态分析。实验设计和信息技术的估计构象值分别用于策略细化和数据采样。博弈解决然后专注于纯策略均衡,而性能评估则解决博弈稳定性、均衡严格性和鲁棒性。一个涉及可乐和百事可乐的软饮料双头垄断的假设案例被认为是为了说明和证明所提出的方法。最终结果包括统计检验的 P 值、置信区间和不同纯平衡的模拟稳态分析。和鲁棒性。一个涉及可乐和百事可乐的软饮料双头垄断的假设案例被认为是为了说明和证明所提出的方法。最终结果包括统计检验的 P 值、置信区间和不同纯平衡的模拟稳态分析。和鲁棒性。一个涉及可乐和百事可乐的软饮料双头垄断的假设案例被认为是为了说明和证明所提出的方法。最终结果包括统计检验的 P 值、置信区间和不同纯平衡的模拟稳态分析。
更新日期:2020-09-22
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