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Self-organized criticality in a dynamic game

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  • Blume, Andreas
  • Duffy, John
  • Temzelides, Ted

Abstract

We investigate conditions under which self-organized criticality (SOC) arises in a version of a dynamic entry game. In the simplest version of the game, there is a single location--a pool--and one agent is exogenously dropped into the pool every period. Payoffs to entrants are positive as long as the number of agents in the pool is below a critical level. If an agent chooses to exit, he cannot re-enter, resulting in a future payoff of zero. Agents in the pool decide simultaneously each period whether to stay in or not. We characterize the symmetric mixed strategy equilibrium of the resulting dynamic game. We then introduce local interactions between agents that occupy neighboring pools and demonstrate that, under our payoff structure, local interaction effects are necessary and sufficient for SOC and for an associated power law to emerge. Thus, we provide an explicit game-theoretic model of the mechanism through which SOC can arise in a social context with forward looking agents.

Suggested Citation

  • Blume, Andreas & Duffy, John & Temzelides, Ted, 2010. "Self-organized criticality in a dynamic game," Journal of Economic Dynamics and Control, Elsevier, vol. 34(8), pages 1380-1391, August.
  • Handle: RePEc:eee:dyncon:v:34:y:2010:i:8:p:1380-1391
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    References listed on IDEAS

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    1. Bak, Per & Chen, Kan & Scheinkman, Jose & Woodford, Michael, 1993. "Aggregate fluctuations from independent sectoral shocks: self-organized criticality in a model of production and inventory dynamics," Ricerche Economiche, Elsevier, vol. 47(1), pages 3-30, March.
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    4. LeBaron, Blake, 2006. "Agent-based Computational Finance," Handbook of Computational Economics,in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 24, pages 1187-1233 Elsevier.
    5. Arthur, W Brian, 1994. "Inductive Reasoning and Bounded Rationality," American Economic Review, American Economic Association, vol. 84(2), pages 406-411, May.
    6. Arenas, Alex & Diaz-Guilera, Albert & Perez, Conrad J. & Vega-Redondo, Fernando, 2002. "Self-organized criticality in evolutionary systems with local interaction," Journal of Economic Dynamics and Control, Elsevier, vol. 26(12), pages 2115-2142, October.
    7. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics,in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
    8. Scheinkman, Jose A & Woodford, Michael, 1994. "Self-Organized Criticality and Economic Fluctuations," American Economic Review, American Economic Association, vol. 84(2), pages 417-421, May.
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    1. repec:eee:eecrev:v:100:y:2017:i:c:p:293-317 is not listed on IDEAS

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