Study on Iterative Desert Crossing Based on Game Theory

Consider the following mini-game: With a map, players use initial funds to buy a certain amount of water and food (including food and other daily necessities), and walk through the desert from the starting point. Depending on the weather you will encounter on the way, you can also replenish funds or resources in mines and villages, with the goal of reaching the finish line within the allotted time and keeping as much money as possible. During the game, sometimes the player does not know all the situations, and sometimes does not know all the situations, at this time how to determine the walking route; Sometimes there are multiple players playing the game, and you need to determine the walking route.