Cooperative Games with Preferences: Application of the Weight Rule to Problems of Public Space in St. Petersburg

The paper examines the problem of the distribution of public space. We use the methodsof cooperative game theory to solve this problem. Players are districts, while the value of thecharacteristic function is the total number of people interested in a particular type of public spacein the areas under consideration. The axioms that are characteristic of the problem of division arecompiled. A special value of the cooperative game is derived that depends on the weights of theplayers. It is shown how to choose the weights by optimization methods.