2015/06/03 by Gershon Wolansky, Wolansky, Gershon
Economics, Econometrics and Finance · #49N90 #90C46 #91A12 #Economic theories and models #FOS: Mathematics #Game Theory and Voting Systems #Monetary Policy and Economic Impact #Optimization and Control (math.OC) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1506.01242
openalex publication_date 2015/06/03 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We consider an optimal partition of resources (e.g. consumers) between\nseveral agents (e.g. experts), given utility functions ("wisdoms") for the\nagents and their capacities. This problem is a variant of optimal transport\n(Monge-Kantorovich) between two measure spaces where one of the measures is\ndiscrete (capacities) and the costs of transport are the wisdoms of the agents.\nWe concentrate on the individual value for each agent under optimal partition\nand show that, counter-intuitively, this value may decrease if the agent's\nwisdom is increased. Sufficient and necessary conditions for increment of the\nindividual values will be given, independently of the other agents. The\nsharpness of these conditions is also discussed.\n Motivated by the above we define a cooperative game based on optimal\npartition and investigate conditions for the existence of a core for this game,\nguaranteeing the stability of the grand coalition.\n