A characterization of the Myerson value
Tarih:
Konum: A 116
Speaker: Dr. Ayşe Derya
Abdullah Gül University
Abstract
The talk will be about the Myerson value, which is a well-known operator in game theory. After a short introduction to game theory, we provide a characterization of the Myerson value with two axioms.
Our first axiom considers a situation where there is a change of the value function at a network g and at each network containing g. It requires that at such a situation, this change must be divided equally between all the players in g that has at least one link at g. Our second axiom is a condition on the value function where the value of each network is zero. It requires that if the value is zero at each of the possible networks, then each player must get zero payoff at each network. By changing our first axiom slightly, we also give a characterization for the position value. A natural comparison of the two value operators arises by our results.
The talk will be presented so that a general audience will be able to follow.