Models of Optimal Control in Tullock Rent-Seeking Game

Authors

  • Denis N. Fedyanin V.A.Trapeznikov Institute of Control Sciences

DOI:

https://doi.org/10.21638/11701/spbu31.2020.07

Abstract

The paper constructs and investigates the models of the optimal control in the Tullock rent-seeking game. There are two types of control in the paper: an unlimited, but expensive resource, and a cheap, but an infinitely small resource. Before the game starts, players discuss parameters of the game, and then choose their strategies simultaneously and independently, competing for better rent. We consider two types of players and two types of communication and analyze combinations.

Keywords:

optimal control, Tullock rent-seeking game, parametrized equilibrium, beliefs

Downloads

Download data is not yet available.
 

References

Tullock, G. (1980). Efficient rent-seeking. In Buchanan, J.; Tollison, R.; Tullock, G. (eds.). Toward a theory of the rent-seeking society. College Station: Texas A&M Press, 97–112

Aumann, R. J. (1999). Interactive epistemology I: Knowledge. International Journal of Game Theory, 28(3), 263–300

Harsanyi, J. C. (1967-1968). Games with Incomplete Information Played by Bayesian Players, I-III. Management Science, 14(3), 159-183 (Part I), 14(5), 320-334 (Part II), 14(7), 486–502 (Part III)

Novikov, D., Chkhartishvili, A. (2014). Reflexion Control: Mathematical models.// Series: Communications in Cybernetics, Systems Science, and Engineering (Book 5). CRC Press. P. 298

DeGroot, M. H. (1974). Reaching a Consensus. Journal of American Statistical Association, 69(345), 118–121

Fedyanin, D. (2019). Information Control in Reflexive Games with players Preliminary Informational Interactions. Proceedings of the 1st International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA2019, Lipetsk. IEEE, pp. 188–193

Gubanov, D. A., Novikov, D. A., Chkhartishvili, A. G. (2009/2011). Informational influence and information control models in social networks. Probl. Upr., 2009, 5, 28–35; Autom. Remote control, 2011, 72(7), 1557–1567

Fedyanin, D. (2020). Reflexive and epistemic properties of the Tullock rent-seeking game. Frontiers of Dynamic Games. Springer (in press)

Beavis, B., Dobbs, I. M. (1990). Static Optimization. Optimization and Stability Theory for Economic Analysis. New York: Cambridge University Press. P. 40.

Neudecker, H., Magnus, J. R. (1988). Matrix Differential Calculus with Applications in Statistics and Econometrics. New York: John Wiley Sons. P. 136

Curtis, F. E., Que, X. (2015). A Quasi-Newton Algorithm for Nonconvex, Nonsmooth Optimization with Global Convergence Guarantees. Mathematical Programming Computation, 7(4), 399–428

Downloads

Published

2022-02-02

How to Cite

Fedyanin, D. N. (2022). Models of Optimal Control in Tullock Rent-Seeking Game. Contributions to Game Theory and Management, 13. https://doi.org/10.21638/11701/spbu31.2020.07

Issue

Section

Articles