Undiscounted Equilibrium in Positive Recursive Absorbing Games with Nonrectangular Absorption Structure

References

• [1] Attia L, Oliu-Barton M (2019) A formula for the value of a stochastic game. Proc. Natl. Acad. Sci. USA 116(52):26435–26443.Crossref, Google Scholar
• [2] Flesch J, Schoenmakers G, Vrieze K (2008) Stochastic games on a product state space. Math. Oper. Res. 33(2):403–420.Link, Google Scholar
• [3] Flesch J, Schoenmakers G, Vrieze K (2009) Stochastic games on a product state space: The periodic case. Internat. J. Game Theory 38(2):263–289.Crossref, Google Scholar
• [4] Flesch J, Thuijsman F, Vrieze O (1996) Recursive repeated games with absorbing states. Math. Oper. Res. 21(4):1016–1022.Link, Google Scholar
• [5] Flesch J, Thuijsman F, Vrieze OJ (2007) Stochastic games with additive transitions. Eur. J. Oper. Res. 179(2):483–497.Crossref, Google Scholar
• [6] Kohlberg E (1974) Repeated games with absorbing states. Ann. Statist. 2(4):724–738.Crossref, Google Scholar
• [7] Laraki R (2010) Explicit formulas for repeated games with absorbing states. Internat. J. Game Theory 39(1–2):53–69.Crossref, Google Scholar
• [8] Mertens JF, Neyman A (1981) Stochastic games. Internat. J. Game Theory 10(2):53–66.Crossref, Google Scholar
• [9] Mertens JF, Sorin S, Zamir S (2015) Repeated Games (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
• [10] Neyman A (2003) Stochastic games: Existence of the minmax. Neyman A, Sorin S, eds. Stochastic Games Appl., NATO Science Series, vol. 570 (Springer, Dordrecht, Germany), 173–193.Google Scholar
• [11] Shapley LS (1953) Stochastic games. Proc. Natl. Acad. Sci. USA 39(10):1095–1100.Crossref, Google Scholar
• [12] Simon RS (2007) The structure of non-zero-sum stochastic games. Adv. Appl. Math. 38(1):1–26.Crossref, Google Scholar
• [13] Simon RS (2012) A topological approach to quitting games. Math. Oper. Res. 37(1):180–195.Link, Google Scholar
• [14] Solan E (1999) Three-player absorbing games. Math. Oper. Res. 24(3):669–698.Link, Google Scholar
• [15] Solan E (2000) Absorbing team games. Games Econom. Behav. 31(2):245–261.Crossref, Google Scholar
• [16] Solan E (2001) The dynamics of the Nash correspondence and n-player stochastic games. Internat. Game Theory Rev. 3(4):291–300.Crossref, Google Scholar
• [17] Solan E (2022) A Course in Stochastic Game Theory (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
• [18] Solan E, Solan ON (2020) Quitting games and linear complementarity problems. Math. Oper. Res. 45(2):434–454.Link, Google Scholar
• [19] Solan E, Solan ON (2021) Sunspot equilibrium in positive recursive general quitting games. Internat. J. Game Theory 50:891–909.Crossref, Google Scholar
• [20] Solan E, Vieille N (2001) Quitting games. Math. Oper. Res. 26(2):265–285.Link, Google Scholar
• [21] Solan E, Vieille N (2026) Public correlated equilibrium in positive recursive games. mimeoGoogle Scholar
• [22] Solan E, Vohra R (2002) Correlated equilibrium payoffs and public signalling in absorbing games. Internat. J. Game Theory 31:91–121.Crossref, Google Scholar
• [23] Solan E, Solan ON, Solan R (2020) Jointly controlled lotteries with biased coins. Games Econom. Behav. 119:383–391.Crossref, Google Scholar
• [24] Vieille N (2000a) Two-player stochastic games I: A reduction. Israel J. Math. 119(1):55–91.Crossref, Google Scholar
• [25] Vieille N (2000b) Two-player stochastic games II: The case of recursive games. Israel J. Math. 119(1):93–126.Crossref, Google Scholar
• [26] Vrieze OJ, Thuijsman F (1989) On equilibria in repeated games with absorbing states. Internat. J. Game Theory 18(3):293–310.Crossref, Google Scholar