How to cite this paper
Esmaeili, P., Makui, A., Seyedhosseini, S & Ghousi, R. (2022). The effect of probabilistic incentives to promote cooperation during the pandemics using simulation of multi-agent evolutionary game.International Journal of Industrial Engineering Computations , 13(3), 319-328.
Refrences
Andreoni, J., Harbaugh, W., & Vesterlund, L. (2003). The carrot or the stick: Rewards, punishments, and cooperation. American Economic Review, 93(3), 893-902.
Balliet, D., Mulder, L. B., & Van Lange, P. A. (2011). Reward, punishment, and cooperation: a meta-analysis. Psychological bulletin, 137(4), 594.
Banks, J. A. (2008). An introduction to multicultural education.
Bhattacharyya, S., & Bauch, C. T. (2011). “Wait and see” vaccinating behaviour during a pandemic: a game theoretic analysis. Vaccine, 29(33), 5519-5525.
Cato, S., Iida, T., Ishida, K., Ito, A., McElwain, K. M., & Shoji, M. (2020). Social distancing as a public good under the COVID-19 pandemic. Public health, 188, 51-53.
Chang, S. L., Piraveenan, M., Pattison, P., & Prokopenko, M. (2020). Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Journal of biological dynamics, 14(1), 57-89.
Chen, X., Gross, T., & Dieckmann, U. (2013). Shared rewarding overcomes defection traps in generalized volunteer's dilemmas. Journal of theoretical biology, 335, 13-21.
Chen, X., Sasaki, T., Brännström, Å., & Dieckmann, U. (2015). First carrot, then stick: how the adaptive hybridization of incentives promotes cooperation. Journal of the royal society interface, 12(102), 20140935.
Choi, J. K., & Ahn, T. K. (2013). Strategic reward and altruistic punishment support cooperation in a public goods game experiment. Journal of Economic Psychology, 35, 17-30.
Cressman, R., Wu, J. J., Li, C., & Tao, Y. (2013). Game experiments on cooperation through reward and punishment. Biological Theory, 8(2), 158-166.
Dimas, I. D., Rebelo, T., Lourenço, P. R., & Rocha, H. (2018, May). A cusp catastrophe model for satisfaction, conflict, and conflict management in teams. In International Conference on Computational Science and Its Applications (pp. 335-350). Springer, Cham.
Esmaeili, A., Ghorrati, Z., & Matson, E. (2018, January). Multi-agent cooperation using snow-drift evolutionary game model: Case study in foraging task. In 2018 Second IEEE International Conference on Robotic Computing (IRC) (pp. 308-312). IEEE.
Fehr, E., & Gächter, S. (2000). Cooperation and punishment in public goods experiments. American Economic Review, 90(4), 980-994.
Fehr, E., & Gächter, S. (2002). Altruistic punishment in humans. Nature, 415(6868), 137-140.
Gachter, S., Renner, E., & Sefton, M. (2008). The long-run benefits of punishment. Science, 322(5907), 1510-1510.
Gao, L., Wang, Z., Pansini, R., Li, Y. T., & Wang, R. W. (2015). Collective punishment is more effective than collective reward for promoting cooperation. Scientific reports, 5(1), 1-12.
Hiemstra, D. A. (2017). Facilitating cooperation by selective institutional reward and punishment’ (Doctoral dissertation, Faculty of Science and Engineering).
Hu, B., & Hu, X. (2018). Qualitative modeling of catastrophe in group opinion. Soft Computing, 22(14), 4661-4684.
Hu, B., & Xia, N. (2015). Cusp catastrophe model for sudden changes in a person’s behavior. Information Sciences, 294, 489-512.
Jentsch, P. C., Anand, M., & Bauch, C. T. (2021). Prioritising COVID-19 vaccination in changing social and epidemiological landscapes: a mathematical modelling study. The Lancet Infectious Diseases, 21(8), 1097-1106.
Jiao, Y., Chen, T., & Chen, Q. (2020). Probabilistic punishment and reward under rule of trust-based decision-making in continuous public goods game. Journal of Theoretical Biology, 486, 110103.
Kim, H., Shimojo, S., & O'Doherty, J. P. (2006). Is avoiding an aversive outcome rewarding? Neural substrates of avoidance learning in the human brain. PLoS biology, 4(8), e233.
Kitakaji, Y., & Ohnuma, S. (2019). The detrimental effects of punishment and reward on cooperation in the Industrial Waste Illegal Dumping Game. Simulation & Gaming, 50(5), 509-531.
Larsen, M. A., & Tentis, E. (2003). The art and science of disciplining children. Pediatric Clinics, 50(4), 817-840.
Makui, A., Seyedhosseini, S. M., Sadjadi, S. J., & Esmaeili, P. (2020). Analysis of labor strike based on evolutionary game and catastrophe theory. EURO Journal on Decision Processes, 8(1), 79-88.
Matrajt, L., & Leung, T. (2020). Evaluating the effectiveness of social distancing interventions to delay or flatten the epidemic curve of coronavirus disease. Emerging infectious diseases, 26(8), 1740.
Molm, L. D. (1990). Structure, action, and outcomes: The dynamics of power in social exchange. American Sociological Review, 427-447.
Molm, L. D., Quist, T. M., & Wiseley, P. A. (1993). Reciprocal justice and strategies of exchange. Social Forces, 72(1), 19-44.
Nosenzo, D., & Sefton, M. (2012). Promoting cooperation: the distribution of reward and punishment power (No. 2012-08). CeDEx Discussion Paper Series.
Noussair, C. N., van Soest, D., & Stoop, J. (2015). Punishment, reward, and cooperation in a framed field experiment. Social Choice and Welfare, 45(3), 537-559.
Nowak, M. A., & May, R. M. (1992). Evolutionary games and spatial chaos. Nature, 359(6398), 826-829.
Nowak, M. A. (2006). Five rules for the evolution of cooperation. science, 314(5805), 1560-1563.
Ostrom, E., Walker, J., & Gardner, R. (1992). Covenants with and without a sword: Self-governance is possible. American political science Review, 86(2), 404-417.
Paakkari, L., & Okan, O. (2020). COVID-19: health literacy is an underestimated problem. The Lancet. Public Health, 5(5), e249.
Piraveenan, M., Sawleshwarkar, S., Walsh, M., Zablotska, I., Bhattacharyya, S., Farooqui, H. H., . & Perc, M. (2021). Optimal governance and implementation of vaccination programmes to contain the COVID-19 pandemic. Royal Society open science, 8(6), 210429.
Porterfield, C. (2020). No-mask attacks: nationwide, employees face violence for enforcing mask mandates. Forbes.
Qian, J., Sun, X., Chai, Y., & Liu, Y. (2019, October). Endogenous Combination of Reward and Punishment Promotes Cooperation. In Proceedings of the 4th International Conference on Crowd Science and Engineering (pp. 1-5).
Rand, D. G., Dreber, A., Ellingsen, T., Fudenberg, D., & Nowak, M. A. (2009). Positive interactions promote public cooperation. Science, 325(5945), 1272-1275.
Roca, C. P., Cuesta, J. A., & Sánchez, A. (2009). Evolutionary game theory: Temporal and spatial effects beyond replicator dynamics. Physics of life reviews, 6(4), 208-249.
Sefton, M., Shupp, R., & Walker, J. M. (2007). The effect of rewards and sanctions in provision of public goods. Economic inquiry, 45(4), 671-690.
Sigmund, K. (2010). The calculus of selfishness. Princeton University Press.
Sigmund, K., Hauert, C., & Nowak, M. A. (2001). Reward and punishment. Proceedings of the National Academy of Sciences, 98(19), 10757-10762.
Sutter, M., Haigner, S., & Kocher, M. G. (2010). Choosing the carrot or the stick? Endogenous institutional choice in social dilemma situations. The Review of Economic Studies, 77(4), 1540-1566.
Thom, R., (1972). Structural Stability and Morphogenesis an Outline of a General Theory of Models. Addison-Wesley, Reading, Ma.
Wu, J. J., Zhang, B. Y., Zhou, Z. X., He, Q. Q., Zheng, X. D., Cressman, R., & Tao, Y. (2009). Costly punishment does not always increase cooperation. Proceedings of the National Academy of Sciences, 106(41), 17448-17451.
Wu, Y. E., Zhang, B., & Zhang, S. (2017). Probabilistic reward or punishment promotes cooperation in evolutionary games. Chaos, Solitons & Fractals, 103, 289-293.
Xu, Y., Hu, B., Wu, J., & Zhang, J. (2014). Nonlinear analysis of the cooperation of strategic alliances through stochastic catastrophe theory. Physica A: Statistical Mechanics and its Applications, 400, 100-108.
Yamagishi, T. (1986). The provision of a sanctioning system as a public good. Journal of Personality and social Psychology, 51(1), 110.
Yamagishi, T., 1992. Group size and the provision of a sanctioning system in a social dilemma.
Zeeman, E. C. (1976). Catastrophe theory. Scientific American, 234(4), 65-83.
Zhao, X., & Hu, B. (2015). Modeling and simulation of voluntary employee turnover using catastrophe theory: A case study on a manufacturing enterprise in China. International Journal of Modeling, Simulation, and Scientific Computing, 6(04), 1550036.
Balliet, D., Mulder, L. B., & Van Lange, P. A. (2011). Reward, punishment, and cooperation: a meta-analysis. Psychological bulletin, 137(4), 594.
Banks, J. A. (2008). An introduction to multicultural education.
Bhattacharyya, S., & Bauch, C. T. (2011). “Wait and see” vaccinating behaviour during a pandemic: a game theoretic analysis. Vaccine, 29(33), 5519-5525.
Cato, S., Iida, T., Ishida, K., Ito, A., McElwain, K. M., & Shoji, M. (2020). Social distancing as a public good under the COVID-19 pandemic. Public health, 188, 51-53.
Chang, S. L., Piraveenan, M., Pattison, P., & Prokopenko, M. (2020). Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Journal of biological dynamics, 14(1), 57-89.
Chen, X., Gross, T., & Dieckmann, U. (2013). Shared rewarding overcomes defection traps in generalized volunteer's dilemmas. Journal of theoretical biology, 335, 13-21.
Chen, X., Sasaki, T., Brännström, Å., & Dieckmann, U. (2015). First carrot, then stick: how the adaptive hybridization of incentives promotes cooperation. Journal of the royal society interface, 12(102), 20140935.
Choi, J. K., & Ahn, T. K. (2013). Strategic reward and altruistic punishment support cooperation in a public goods game experiment. Journal of Economic Psychology, 35, 17-30.
Cressman, R., Wu, J. J., Li, C., & Tao, Y. (2013). Game experiments on cooperation through reward and punishment. Biological Theory, 8(2), 158-166.
Dimas, I. D., Rebelo, T., Lourenço, P. R., & Rocha, H. (2018, May). A cusp catastrophe model for satisfaction, conflict, and conflict management in teams. In International Conference on Computational Science and Its Applications (pp. 335-350). Springer, Cham.
Esmaeili, A., Ghorrati, Z., & Matson, E. (2018, January). Multi-agent cooperation using snow-drift evolutionary game model: Case study in foraging task. In 2018 Second IEEE International Conference on Robotic Computing (IRC) (pp. 308-312). IEEE.
Fehr, E., & Gächter, S. (2000). Cooperation and punishment in public goods experiments. American Economic Review, 90(4), 980-994.
Fehr, E., & Gächter, S. (2002). Altruistic punishment in humans. Nature, 415(6868), 137-140.
Gachter, S., Renner, E., & Sefton, M. (2008). The long-run benefits of punishment. Science, 322(5907), 1510-1510.
Gao, L., Wang, Z., Pansini, R., Li, Y. T., & Wang, R. W. (2015). Collective punishment is more effective than collective reward for promoting cooperation. Scientific reports, 5(1), 1-12.
Hiemstra, D. A. (2017). Facilitating cooperation by selective institutional reward and punishment’ (Doctoral dissertation, Faculty of Science and Engineering).
Hu, B., & Hu, X. (2018). Qualitative modeling of catastrophe in group opinion. Soft Computing, 22(14), 4661-4684.
Hu, B., & Xia, N. (2015). Cusp catastrophe model for sudden changes in a person’s behavior. Information Sciences, 294, 489-512.
Jentsch, P. C., Anand, M., & Bauch, C. T. (2021). Prioritising COVID-19 vaccination in changing social and epidemiological landscapes: a mathematical modelling study. The Lancet Infectious Diseases, 21(8), 1097-1106.
Jiao, Y., Chen, T., & Chen, Q. (2020). Probabilistic punishment and reward under rule of trust-based decision-making in continuous public goods game. Journal of Theoretical Biology, 486, 110103.
Kim, H., Shimojo, S., & O'Doherty, J. P. (2006). Is avoiding an aversive outcome rewarding? Neural substrates of avoidance learning in the human brain. PLoS biology, 4(8), e233.
Kitakaji, Y., & Ohnuma, S. (2019). The detrimental effects of punishment and reward on cooperation in the Industrial Waste Illegal Dumping Game. Simulation & Gaming, 50(5), 509-531.
Larsen, M. A., & Tentis, E. (2003). The art and science of disciplining children. Pediatric Clinics, 50(4), 817-840.
Makui, A., Seyedhosseini, S. M., Sadjadi, S. J., & Esmaeili, P. (2020). Analysis of labor strike based on evolutionary game and catastrophe theory. EURO Journal on Decision Processes, 8(1), 79-88.
Matrajt, L., & Leung, T. (2020). Evaluating the effectiveness of social distancing interventions to delay or flatten the epidemic curve of coronavirus disease. Emerging infectious diseases, 26(8), 1740.
Molm, L. D. (1990). Structure, action, and outcomes: The dynamics of power in social exchange. American Sociological Review, 427-447.
Molm, L. D., Quist, T. M., & Wiseley, P. A. (1993). Reciprocal justice and strategies of exchange. Social Forces, 72(1), 19-44.
Nosenzo, D., & Sefton, M. (2012). Promoting cooperation: the distribution of reward and punishment power (No. 2012-08). CeDEx Discussion Paper Series.
Noussair, C. N., van Soest, D., & Stoop, J. (2015). Punishment, reward, and cooperation in a framed field experiment. Social Choice and Welfare, 45(3), 537-559.
Nowak, M. A., & May, R. M. (1992). Evolutionary games and spatial chaos. Nature, 359(6398), 826-829.
Nowak, M. A. (2006). Five rules for the evolution of cooperation. science, 314(5805), 1560-1563.
Ostrom, E., Walker, J., & Gardner, R. (1992). Covenants with and without a sword: Self-governance is possible. American political science Review, 86(2), 404-417.
Paakkari, L., & Okan, O. (2020). COVID-19: health literacy is an underestimated problem. The Lancet. Public Health, 5(5), e249.
Piraveenan, M., Sawleshwarkar, S., Walsh, M., Zablotska, I., Bhattacharyya, S., Farooqui, H. H., . & Perc, M. (2021). Optimal governance and implementation of vaccination programmes to contain the COVID-19 pandemic. Royal Society open science, 8(6), 210429.
Porterfield, C. (2020). No-mask attacks: nationwide, employees face violence for enforcing mask mandates. Forbes.
Qian, J., Sun, X., Chai, Y., & Liu, Y. (2019, October). Endogenous Combination of Reward and Punishment Promotes Cooperation. In Proceedings of the 4th International Conference on Crowd Science and Engineering (pp. 1-5).
Rand, D. G., Dreber, A., Ellingsen, T., Fudenberg, D., & Nowak, M. A. (2009). Positive interactions promote public cooperation. Science, 325(5945), 1272-1275.
Roca, C. P., Cuesta, J. A., & Sánchez, A. (2009). Evolutionary game theory: Temporal and spatial effects beyond replicator dynamics. Physics of life reviews, 6(4), 208-249.
Sefton, M., Shupp, R., & Walker, J. M. (2007). The effect of rewards and sanctions in provision of public goods. Economic inquiry, 45(4), 671-690.
Sigmund, K. (2010). The calculus of selfishness. Princeton University Press.
Sigmund, K., Hauert, C., & Nowak, M. A. (2001). Reward and punishment. Proceedings of the National Academy of Sciences, 98(19), 10757-10762.
Sutter, M., Haigner, S., & Kocher, M. G. (2010). Choosing the carrot or the stick? Endogenous institutional choice in social dilemma situations. The Review of Economic Studies, 77(4), 1540-1566.
Thom, R., (1972). Structural Stability and Morphogenesis an Outline of a General Theory of Models. Addison-Wesley, Reading, Ma.
Wu, J. J., Zhang, B. Y., Zhou, Z. X., He, Q. Q., Zheng, X. D., Cressman, R., & Tao, Y. (2009). Costly punishment does not always increase cooperation. Proceedings of the National Academy of Sciences, 106(41), 17448-17451.
Wu, Y. E., Zhang, B., & Zhang, S. (2017). Probabilistic reward or punishment promotes cooperation in evolutionary games. Chaos, Solitons & Fractals, 103, 289-293.
Xu, Y., Hu, B., Wu, J., & Zhang, J. (2014). Nonlinear analysis of the cooperation of strategic alliances through stochastic catastrophe theory. Physica A: Statistical Mechanics and its Applications, 400, 100-108.
Yamagishi, T. (1986). The provision of a sanctioning system as a public good. Journal of Personality and social Psychology, 51(1), 110.
Yamagishi, T., 1992. Group size and the provision of a sanctioning system in a social dilemma.
Zeeman, E. C. (1976). Catastrophe theory. Scientific American, 234(4), 65-83.
Zhao, X., & Hu, B. (2015). Modeling and simulation of voluntary employee turnover using catastrophe theory: A case study on a manufacturing enterprise in China. International Journal of Modeling, Simulation, and Scientific Computing, 6(04), 1550036.