A Characterization of Subgame-Perfect Equilibrium Plays in Borel Games of Perfect Information

References

• Alós-Ferrer C, Ritzberger K (2016) Equilibrium existence for large perfect information games. J. Math. Econom. 62:5–18.Crossref, Google Scholar
• Alós-Ferrer C, Ritzberger K (2017) Characterizing existence of equilibrium for large extensive form games: A necessity result. Econom. Theory 63(2):407–430.Crossref, Google Scholar
• Balbus L, Jaśkiewicz A, Nowak AS (2014) Existence of stationary Markov perfect equilibria in stochastic altruistic growth economies. J. Optim. Theory Appl. 165(1):295–315.Crossref, Google Scholar
• Brihaye T, Bruyère V, Meunier N, Raskin J-F (2015) Weak subgame perfect equilibria and their application to quantitative reachability. Proc. 24th EACSL Annual Conf. Comput. Sci. Logic 504–518.Google Scholar
• Carmona G (2005) On games of perfect information: Equilibria, ɛ–equilibria and approximation by simple games. Internat. Game Theory Rev. 7(4):491–499.Crossref, Google Scholar
• Cingiz K, Flesch J, Herings JJ, Predtetchinski A (2016) Doing it now, later, or never. Games Econom. Behav. 97:174–185.Crossref, Google Scholar
• Flesch J, Kuipers J, Mashiah-Yaakovi A, Schoenmakers G, Solan E, Vrieze K (2010a) Perfect-information games with lower semicontinuous payoffs. Math. Oper. Res. 35(4):742–755.Link, Google Scholar
• Flesch J, Kuipers J, Schoenmakers G, Vrieze K (2010b) Subgame–perfection in positive recursive games with perfect information. Math. Oper. Res. 35(1):193–207.Link, Google Scholar
• Flesch J, Kuipers J, Mashiah-Yaakovi A, Shmaya E, Schoenmakers G, Solan E, Vrieze K (2014) Non-existence of subgame-perfect epsilon-equilibrium in perfect information games with infinite horizon. Internat. J. Game Theory 43(4):945–951.Crossref, Google Scholar
• Flesch J, Predtetchinski A (2016a) Subgame-perfect ɛ–equilibria in perfect information games with common preferences at the limit. Math. Oper. Res. 41(4):1208–1221.Link, Google Scholar
• Flesch J, Predtetchinski A (2016b) On refinements of subgame-perfect ɛ–equilibrium. Internat. J. Game Theory 45(3):523–542.Crossref, Google Scholar
• Flesch J, Kuipers J, Schoenmakers G, Vrieze K (2013) Subgame-perfection in free transition games. Eur. J. Oper. Res. 228:201–207.Crossref, Google Scholar
• Fudenberg D, Levine D (1983) Subgame-perfect equilibria of finite and infinite-horizon games. J. Econom. Theory 31(2):251–268.Crossref, Google Scholar
• Harris C (1985a) Existence and characterization of perfect equilibrium in games of perfect information. Econometrica 53(3):613–628.Crossref, Google Scholar
• Harris C (1985b) A Characterisation of the perfect equilibria of infinite horizon games. J. Econom. Theory 37(1):99–125.Crossref, Google Scholar
• Kuipers J, Flesch J, Schoenmakers G, Vrieze K (2016) Subgame-perfection in perfect information games where each player controls one state. Internat. J. Game Theory 45(1):205–237.Crossref, Google Scholar
• Kunen K (1980) Set Theory: An Introduction to Independence Proofs (North-Holland, Amsterdam).Google Scholar
• Le Roux S (2016) Infinite subgame perfect equilibrium in the Hausdorff difference hierarchy. Hajiaghayi TM, Mousavi RM, eds. Topics in Theoretical Computer Science (Springer International, Cham, Switzerland), 147–163.Crossref, Google Scholar
• Le Roux S, Pauly A (2014) Infinite sequential games with real-valued payoffs. Henzinger TA, Miller D, eds. Proc. Joint Meeting Twenty-Third EACSL Annual Conf. Comput. Sci. Logic (CSL) and Twenty-Ninth Annual ACM/IEEE Sympos. Logic Comput. Sci. (LICS), CSL-LICS ’14, Vol. 62 (ACM, New York), 1–10.Crossref, Google Scholar
• Martin DA (1975) Borel determinacy. Ann. Math. 102(2):363–371.Crossref, Google Scholar
• Mashiah–Yaakovi A (2014) Subgame perfect equilibria in stopping games. Internat. J. Game Theory 43(1):89–135.Crossref, Google Scholar
• Mertens J-F (1987) Repeated Games. Proc. Internat. Congress Mathematicians, Vol. 986 (AMS, Providence, RI), 1528–1577.Crossref, Google Scholar
• Meunier N (2016) Multi-Player quantitative games: Equilibria and algorithms. PhD thesis, University of Mons, Mons, Belgium.Google Scholar
• Purves RA, Sudderth WD (2011) Perfect information games with upper semicontinuous payoffs. Math. Oper. Res. 36(3):468–473.Link, Google Scholar
• Solan E (2005) Subgame–perfection in quitting games with perfect information. Math. Oper. Res. 30(1):51–72.Link, Google Scholar
• Solan E, Vieille N (2003) Deterministic multi-player Dynkin games. J. Math. Econom. 39(8):911–929.Crossref, Google Scholar