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Markov Equilibrium in Models of Dynamic Endogenous Political Institutions

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  • Roger Lagunoff

    (Georgetown University)

Abstract

This paper examines existence of Markov equilibria in the class of dynamic political games (DPGs). DPGs are dynamic games in which political institutions are endogenously determined each period. The process of change is both recursive and instrumental: the rules for political aggregation at date t+1 are decided by the rules at date t, and the resulting institutional choices do not affect payoffs or technology directly. Equilibrium existence in dynamic political games requires a resolution to a “political fixed point problem” in which a current political rule (e.g., majority voting) admits a solution only if all feasible political rules in the future admit solutions in all states. If the class of political rules is dynamically consistent, then DPGs are shown to admit political fixed points. This result is used to prove two equilibrium existence theorems, one of which implies that equilibrium strategies, public and private, are smooth functions of the economic state. We discuss practical applications that require existence of smooth equilibria.

Suggested Citation

  • Roger Lagunoff, 2005. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Game Theory and Information 0501003, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpga:0501003
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    Cited by:

    1. S. Guriev & G. Egorov & K. Sonin., 2007. "Media Freedom, Bureaucratic Incentives, and the Resource Curse," VOPROSY ECONOMIKI, N.P. Redaktsiya zhurnala "Voprosy Economiki", vol. 4.
    2. Jack, William & Lagunoff, Roger, 2006. "Dynamic enfranchisement," Journal of Public Economics, Elsevier, vol. 90(4-5), pages 551-572, May.
    3. Gradstein, M., 2007. "Institutional Traps and Economic Growth," Cambridge Working Papers in Economics 0769, Faculty of Economics, University of Cambridge.
    4. Tasos Kalandrakis, 2007. "Majority Rule Dynamics with Endogenous Status Quo," Wallis Working Papers WP46, University of Rochester - Wallis Institute of Political Economy.
    5. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    6. William Jack & Roger Lagunoff, 2006. "Social Conflict and Gradual Political Succession: An Illustrative Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 108(4), pages 703-725, December.
    7. Egorov, Georgy & Sonin, Konstantin, 2005. "The Killing Game: Reputation and Knowledge in Non-Democratic Succession," CEPR Discussion Papers 5092, C.E.P.R. Discussion Papers.
    8. Georgy Egorov & Konstantin Sonin, 2005. "The Killing Game: Reputation and Knowledge in Politics of Succession," Game Theory and Information 0505003, University Library of Munich, Germany.
    9. Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2010. "Political Selection and Persistence of Bad Governments," The Quarterly Journal of Economics, Oxford University Press, vol. 125(4), pages 1511-1575.

    More about this item

    Keywords

    Recursive; dynamic political games; political fixed points; dynamically consistent rules.;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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