On a Simplified Method of Defining Characteristic Function in Stochastic Games

Elena Parilina () and Leon Petrosyan
Additional contact information
Leon Petrosyan: Department of Mathematical Game Theory and Statistical Decisions, Saint Petersburg State University, 7/9 Universitetskaya nab., Saint Petersburg 199034, Russia

Mathematics, 2020, vol. 8, issue 7, 1-14

Abstract: In the paper, we propose a new method of constructing cooperative stochastic game in the form of characteristic function when initially non-cooperative stochastic game is given. The set of states and the set of actions for any player is finite. The construction of the characteristic function is based on a calculation of the maximin values of zero-sum games between a coalition and its anti-coalition for each state of the game. The proposed characteristic function has some advantages in comparison with previously defined characteristic functions for stochastic games. In particular, the advantages include computation simplicity and strong subgame consistency of the core calculated with the values of the new characteristic function.

Keywords: cooperative stochastic game; strong subgame consistency; characteristic function; core (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/7/1135/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/7/1135/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:7:p:1135-:d:383218

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().