Research on Mathematical Model of Balancing the Interests of All Parties in Food Delivery

Abstract

In this paper, we study the delivery order pattern of take-out riders in Chinese society, adopt a time window function to give a reward and punishment measure for the complete quality of riders under various factors, and adopt hierarchical analysis to obtain and quantify the degree of influence of different factors on delivery, and get the commission scheme design so that the riders can get the maximum commission. Then, from the perspective of game theory, we establish a two-stage game model under the non-cooperative game, with the first stage of the game being the takeaway demand realizer and the second stage of the game being the takeaway demander and the contacting platform, and finally select a win-win solution with a balanced game. Finally, the pricing model proposed in the previous paper is optimized iteratively, considering the addition of long-distance as well as cross-regional distance quantification factors, and considering the case of dedicated personnel working exclusively. This paper proposes an equilibrium state for the four ends of the platform, merchants, consumers, and riders, and proposes a cross-regional and long-distance delivery scheme with certain feasibility, giving the platform and riders the possibility to expand the sales area and delivery area.