# Asynchronicity and coordination in common and opposing interest games

## Author

Listed:
• Calcagno, Riccardo

() (Department of Economics, Finance and Control, EMLYON Business School)

• Sugaya, Takuo

() (Cowles Foundation for Research in Economics, Yale University)

• Lovo, Stefano

() (Finance Department, HEC Paris and GREGHEC)

## Abstract

We study games endowed with a pre-play phase in which players prepare the actions that will be implemented at a predetermined deadline. In the preparation phase, each player stochastically receives opportunities to revise her actions, and the finally-revised action is taken at the deadline. In 2-player \textquotedblleft common interest" games, where there exists a best action profile for all players, this best action profile is the only equilibrium outcome of the dynamic game. In \textquotedblleft opposing interest" games, which are $2\times 2$ games with Pareto-unranked strict Nash equilibria, the equilibrium outcome of the dynamic game is generically unique and corresponds to one of the stage-game strict Nash equilibria. Which equilibrium prevails depends on the payoff structure and on the relative frequency of the arrivals of revision opportunities for each of the players.

## Suggested Citation

• Calcagno, Riccardo & Sugaya, Takuo & Kamada, Yuichiro & Lovo, Stefano, 2014. "Asynchronicity and coordination in common and opposing interest games," Theoretical Economics, Econometric Society, vol. 9(2), May.
• Handle: RePEc:the:publsh:1202
as

File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20140409/10816/331

## References listed on IDEAS

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Full references (including those not matched with items on IDEAS)

## Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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Cited by:

1. Dutta, Rohan & Ishii, Ryosuke, 2016. "Dynamic commitment games, efficiency and coordination," Journal of Economic Theory, Elsevier, vol. 163(C), pages 699-727.
2. Ryota Iijima & Akitada Kasahara, 2016. "Gradual Adjustment and Equilibrium Uniqueness under Noisy Monitoring," ISER Discussion Paper 0965, Institute of Social and Economic Research, Osaka University.
3. Doraszelski, Ulrich & Escobar, Juan, 2016. "Protocol Invariance and the Timing of Decisions in Dynamic Games," CEPR Discussion Papers 11447, C.E.P.R. Discussion Papers.
4. Roy, Nilanjan, 2017. "Action revision, information and collusion in an experimental duopoly market," MPRA Paper 77033, University Library of Munich, Germany.
5. Rohan Dutta & Ryosuke Ishii, 2013. "Coordinating by Not Committing : Efficiency as the Unique Outcome," Cahiers de recherche 10-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

### Keywords

Revision games; pre-opening; finite horizon; equilibrium selection; asynchronous moves;

### JEL classification:

• C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
• C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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