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A bi-level model of the relationship between transport and residential location

机译：交通与居住位置之间关系的双层模型

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摘要

This paper explores a bid-rent network equilibrium model which represents the relationship between transport and residential location. The relationship is examined in terms of the competition of decision-makers for locations. The model discusses difficulties in addressing the characteristics of locations, particularly heterogeneity and indivisibility. A hedonic interpretation is included as a way to resolve these challenges. The model investigates the process in which households make their decisions. This process is shown as an n-player non-cooperative game, following the Nash equilibrium for this game, which is defined as well. The game is accompanied by the systematic interactions between transport and land-use. A mutual adjustment process represents these interactions. The three components are structured by a bi-level mathematical program. The final formulation is interpreted as an oligopolistic Cournot game of which consequence is an approximation of the n-player non-cooperative game. The functional relationship between the decision variables of the upper and the lower levels of the bi-level program produces endogenously-determined transport impedance and locational attractiveness. The endogenous network performance indices of the model are expected to overcome the lack of a realistic network equilibrium description in the existing models. A path-based heuristic algorithm and a simple numerical example are presented. Finally, some concluding remarks are given.
机译：本文探索了一个投标-租金网络平衡模型，该模型代表了交通与居住位置之间的关系。根据决策者对地点的竞争来检验这种关系。该模型讨论了解决位置特征方面的困难，特别是异质性和不可分割性。包括享乐主义的解释，以解决这些挑战。该模型调查了家庭做出决策的过程。该过程被显示为遵循该游戏的纳什均衡的n人非合作游戏。游戏伴随着运输和土地利用之间的系统性相互作用。相互调整的过程代表了这些相互作用。这三个组成部分由双层数学程序构成。最终公式被解释为寡头古诺博弈，其结果是n人非合作博弈的近似值。双层程序的上层和下层的决策变量之间的函数关系产生内生确定的传输阻抗和位置吸引力。该模型的内生网络性能指标有望克服现有模型中缺乏现实的网络平衡描述的情况。提出了一种基于路径的启发式算法和一个简单的数值示例。最后，给出一些结论性意见。

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