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Cooperation in an asymmetric volunteer’s dilemma game Theory and experimental evidence

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Abstract

The symmetric Volunteer’s dilemma game (VOD) models a situation in which each of N actors faces the decision of either producing a step-level collective good (action “C”) or freeriding (“D”). One player’s cooperative action suffices for producing the collective good. Unilateral cooperation yields a payoff U for D-players and U - K for the cooperative player(s). However, if all actors decide for “freeriding”, each player’s payoff is zero (U > K > 0). In this article, an essential modification is discussed. In an asymmetric VOD, the interest in the collective good and/or the production costs (i.e. work) may vary between actors. The generalized asymmetric VOD is similar to market entry games. Alternative hypotheses abaout the behavior of subjects are derived from a game-theoretical analysis. They are investigated in an experimental setting. The application of the mixed Nash-equilibrium concept yields a rather counter-intuitive prediction which apparently contradicts the empirical data. The predictions of the Harsanyi-Selten-theory and Schelling’s “focal point theory” are in better accordance with the data. However, they do not account for the “diffusion-of-responsibility-effect” also observable in the context of an asymmetric VOD game.

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References

  • Brennan, G., & Lomasky, L. (1984). Inefficient unanimity. Journal of Applied Philosophy, 7, 151–163.

    Article  Google Scholar 

  • Darley, J.M., & Latané, B. (1968). Bystander intervention in emergencies. Diffusion of responsibility. Journal of Personality and Social Psychology, 8, 377–383.

    Article  Google Scholar 

  • Dawkins, R. (1976). The selfish gene. New York: Oxford University Press.

    Google Scholar 

  • Diekmann, A. (1985). Volunteer’s dilemma. Journal of Conflict Resolution, 29, 605–610.

    Article  Google Scholar 

  • Diekmann, A. (1986). Volunteer’s dilemma. A ’social trap’ without dominant strategy and some experimental results. In A. Diekmann & P. Mitter (Eds.), Paradoxical effects of social behaviour. Essays in honor of Anatol Rapoport. Heidelberg, Wien: Physica.

    Google Scholar 

  • Harsanyi, J.C., & Selten, R. (1988). A general theory of equilibrium selection in games. Cambridge, Mass: M.I.T. Press.

    Google Scholar 

  • Holler, M. (1990). The unprofitability of mixed strategy equilibrium in two-person games. A second folk-theorem. Economic Letters, 32, 319–323.

    Article  Google Scholar 

  • Olson, M. (1965). The logic of collective action. Cambridge, Mass.: Harvard University Press.

    Google Scholar 

  • Selten, R., & Güth, W. (1982). Equilibrium point selection in a class of market entry games. In M. Deistler, E. Fürst, & G. Schwödiauer (Eds.), Games, economic dynamics, and time series analysisA symposium in memoriam of Oskar Morgenstern (pp. 101–116). Würzburg, Wien: Physica.

    Google Scholar 

  • Schelling, Th.C. (1960). The strategy of conflict. Cambridge, Mass.: Harvard University Press

    Google Scholar 

  • Sherman, R., & Willet, Th.D. (1967). Potential entrants discourage entry. Journal of Political Economy, 75, 400–403.

    Article  Google Scholar 

  • Wittman, D. (1985). Counter-intuitive results in game theory. European Journal of Political Economy, 1, 77–85.

    Article  Google Scholar 

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© 1984 Springer-Verlag Berlin · Heidelberg

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Diekmann, A. (1984). Cooperation in an asymmetric volunteer’s dilemma game Theory and experimental evidence. In: Schulz, U., Albers, W., Mueller, U. (eds) Social Dilemmas and Cooperation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78860-4_21

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  • DOI: https://doi.org/10.1007/978-3-642-78860-4_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78862-8

  • Online ISBN: 978-3-642-78860-4

  • eBook Packages: Springer Book Archive

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