On the Existence of Markov Perfect Equilibria in Perfect Information Games
We study the existence of pure strategy Markov perfect equilibria in two-person perfect information games. There is a state space X and each period player's possible actions are a subset of X. This set of feasible actions depends on the current state, which is determined by the choice of the other player in the previous period. We assume that X is a compact Hausdorff space and that the action correspondence has an acyclic and asymmetric graph. For some states there may be no feasible actions and then the game ends. Payoffs are either discounted sums of utilities of the states visited, or the utility of the state where the game ends. We give sufficient conditions for the existence of equilibrium e.g. in case when either feasible action sets are finite or when players' payoffs are continuously dependent on each other. The latter class of games includes zero-sum games and pure coordination games.
|Date of creation:||Oct 2011|
|Contact details of provider:|| Postal: Rehtorinpellonkatu 3, FIN-20500 TURKU|
Phone: +358 2 333 51
Web page: http://ace-economics.fi
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Roger Lagunoff & Akihiko Matsui, 1997.
"Asynchronous Choice in Repeated Coordination Games,"
Econometric Society, vol. 65(6), pages 1467-1478, November.
- Roger Lagunoff & Akihiko Matsu, "undated". "Asynchronous Choice in Repeated Coordination Games," Penn CARESS Working Papers 23a1aa461811b8f48b0334f6e, Penn Economics Department.
- Roger Lagunoff & Akihiko Matsu, "undated". ""Asynchronous Choice in Repeated Coordination Games''," CARESS Working Papres 96-10, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Roger Lagunoff & Akihiko Matsui, 1997. "Asynchronous Choice in Repeated Coordination Games," Game Theory and Information 9707002, EconWPA.
- Kuipers, J. & Flesch, J. & Schoenmakers, G. & Vrieze, K., 2009. "Pure subgame-perfect equilibria in free transition games," European Journal of Operational Research, Elsevier, vol. 199(2), pages 442-447, December.
- V. Bhaskar & George J. Mailathy & Stephen Morris, 2009.
"A Foundation for Markov Equilibria in Infinite Horizon Perfect Information Games,"
Levine's Working Paper Archive
814577000000000178, David K. Levine.
- V. Bhaskar & George J. Mailath & Stephen Morris, 2009. "A Foundation for Markov Equilibria in Infinite Horizon Perfect Information Games," PIER Working Paper Archive 09-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- V. Bhaskar & George J. Mailath & Stephen Morris, 2012. "A Foundation for Markov Equilibria in Infinite Horizon Perfect Information Games," PIER Working Paper Archive 12-043, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- Salonen, Hannu & Vartiainen, Hannu, 2010. "On the existence of undominated elements of acyclic relations," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 217-221, November.
- Hannu Salonen & Hannu Vartiainen, 2005. "On the Existence of Undominated Elements of Acyclic Relations," Game Theory and Information 0503009, EconWPA.
- Livshits, Igor, 2002. "On non-existence of pure strategy Markov perfect equilibrium," Economics Letters, Elsevier, vol. 76(3), pages 393-396, August.
- Harris, Christopher J, 1985. "Existence and Characterization of Perfect Equilibrium in Games of Perfect Information," Econometrica, Econometric Society, vol. 53(3), pages 613-628, May.
- Doraszelski, Ulrich & Escobar, Juan, 2010. "A theory of regular Markov perfect equilibria in dynamic stochastic games: genericity, stability, and purification," Theoretical Economics, Econometric Society, vol. 5(3), September.
- Juan Escobar & Ulrich Doraszelski, 2008. "A Theory of Regular Markov Perfect Equilibria\\in Dynamic Stochastic Games: Genericity, Stability, and Purification," 2008 Meeting Papers 453, Society for Economic Dynamics.
- Doraszelski, Ulrich & Escobar, Juan, 2008. "A Theory of Regular Markov Perfect Equilibria in Dynamic Stochastic Games: Genericity, Stability, and Purification," CEPR Discussion Papers 6805, C.E.P.R. Discussion Papers.
- Borgers, Tilman, 1989. "Perfect equilibrium histories of finite and infinite horizon games," Journal of Economic Theory, Elsevier, vol. 47(1), pages 218-227, February.
- Carmona, Guilherme, 2003. "On Games of Perfect Information: Equilibria, E-Equilibria and Approximation by Simple Games," FEUNL Working Paper Series wp427, Universidade Nova de Lisboa, Faculdade de Economia.
- Gale, Douglas, 1995. "Dynamic Coordination Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 1-18, January.
- Gale, D., 1992. "Dynamic Coordiantion Games," Papers 13, Boston University - Department of Economics.
- Hellwig, Martin & Leininger, Wolfgang & Reny, Philip J. & Robson, Arthur J., 1990. "Subgame perfect equilibrium in continuous games of perfect information: An elementary approach to existence and approximation by discrete games," Journal of Economic Theory, Elsevier, vol. 52(2), pages 406-422, December. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:tkk:dpaper:dp68. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Aleksandra Maslowska)
If references are entirely missing, you can add them using this form.