Investigation of Nash Equilibrium existence involving complementarity-constrained pricing models |
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Authors: | Wanmei Soon |
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Institution: | Mathematics and Mathematics Education Academic Group, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore |
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Abstract: | The goal of this paper is to study Nash Equilibrium (NE) existence of some game-theoretic pricing models. In Soon et al. 17], deterministic pricing models incorporating a complete demand system were proposed. As in those models, the demand function is defined via a Nonlinear Complementarity Problem (NCP), the models’ pricing constraints include complementarity conditions. When incorporated within a game, the best response problem facing each seller is a Mathematical Program with Equilibrium Constraints. A randomized version of this pricing problem will be introduced in this work and the issue of NE existence will be discussed for both the deterministic and random pricing games. |
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Keywords: | Multi-product Pricing models Complementarity constrained optimization problem Nash Equilibrium Non-cooperative game |
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