Reflexive games: Transformation of awareness structure
- 51 Downloads
A game-based model of reflexive decision-making is proposed. Reflexive normal form game being repeated several times, some of the agents (or even all of them) are demonstrated to observe unexpected results of the game (e.g., actions of the opponents, values of payoff functions, etc); thus, awareness structure is modifled. We discuss three problems, notably, awareness structure, actions of the agents based on the structure, transformation of awareness structure.
Unable to display preview. Download preview PDF.
- 1.Novikov, D.A. and Chkhartishvili, A.G., Refleksivnye igry (Reflexive Games), Moscow: SINTEG, 2003.Google Scholar
- 2.Roman’ko, A.D. and Chkhartishvili, A.G., Information Effects Modeling in Reffexive Games: Simple Messages, in Sb. tr. Voronezhsk. Gos. Univ., Voronezh, 2006, pp. 157–167.Google Scholar
- 3.Chkhartishvili, A.G., Information Equilibrium, Upravl. Bol’shimi Sist., 2003, no. 3, pp. 100–119.Google Scholar
- 4.Chkhartishvili, A.G., Teoretiko-igrovye modeli informatsionnogo upravleniya (Game Theory Models in Information Control), Moscow: PMSOFT, 2004.Google Scholar
- 6.Aumann, R. and Heifetz, A., Incomplete Information, in Handbook of Game Theory, Amsterdam: Elsevier, 2002, vol. 3, pp. 1665–1686.Google Scholar
- 7.Gubko, M.V. and Novikov, D.A., Teoriya igr v upravlenii organizatsionnymi sistemami (Game Theory in Organizational Systems Control), Moscow: SINTEG, 2002.Google Scholar
- 8.Novikov, D.A., Matematicheskie modeli formirovaniya i funktsionirovaniya komand (Mathematical Models of Team Formation and Functioning), Moscow: Fizmatlit, 2008.Google Scholar
- 9.Myerson, R.B., Game Theory: Analysis of Conflict, London: Harvard Univ. Press, 2001.Google Scholar