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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2014 Issue 4, Pages 72–81 (Mi vspui217)

This article is cited in 2 papers

Applied mathematics

One-way flow two-stage network games

L. A. Petrosyan, A. A. Sedakov

St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation

Abstract: In the paper two-stage network games are considered in which at the first stage players form a directed network, whereas at the second stage they choose feasible controls. It is assumed that payoffs of players depend on both the network and controls chosen by their “neighbors”. In a cooperative case we find cooperative behavior of players and consider the Shapley value as a solution of the game. It is proved that the Shapley value is time-inconsistent, therefore the dynamic Shapley value is defined with the use of imputation distribution procedure. Bibliogr. 9. Fig. 1. Table 1.

Keywords: network, cooperation, Shapley value, time-consistency.

UDC: 519.83

Received: June 26, 2014

Language: English



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