Competing for congestible goods: experimental evidence on parking choice

Congestible goods describe situations in which a group of people share or use a public good that becomes congested or overexploited when demand is low. We study experimentally a congestible goods problem of relevance for parking design, namely how people choose between a convenient parking lot with few spots and a less convenient one with unlimited space. We find that the Nash equilibrium predicts reasonably well the competition for the convenient parking when it has few spots, but not when it has more availability. We then show that the Rosenthal equilibrium, a bounded-rational approach, is a better description of the experimental results accounting for the randomness in the decision process. We introduce a dynamical model that shows how Rosenthal equilibria can be approached in a few rounds of the game. Our results give insights on how to deal with parking problems such as the design of parking lots in central locations in cities and open the way to better understand similar congestible goods problems in other contexts.

[1]  David Mahalel,et al.  Determining the Desired Amount of Parking Using Game Theory , 2006 .

[2]  Bo Xu,et al.  Opportunistic dissemination of spatio-temporal resource information in mobile peer to peer networks , 2004, Proceedings. 15th International Workshop on Database and Expert Systems Applications, 2004..

[3]  Alex Delis,et al.  Reaching Available Public Parking Spaces in Urban Environments Using Ad Hoc Networking , 2011, 2011 IEEE 12th International Conference on Mobile Data Management.

[4]  G. Brady Governing the Commons: The Evolution of Institutions for Collective Action , 1993 .

[5]  S. Blomquist,et al.  Public Provision of Private Goods and Nondistortionary Marginal Tax Rates , 2008 .

[6]  D.P.J. van der Goot A model to describe the choice of parking places , 1982 .

[7]  Eitan Altman,et al.  Non-cooperative association of mobiles to access points revisited , 2012, 2012 10th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt).

[8]  D. E. Campbell Public Goods , 2021, Encyclopedia of Evolutionary Psychological Science.

[9]  Dirk Ifenthaler,et al.  Stochastic Models of Learning , 2012 .

[10]  A. Hillman,et al.  Public Finance and Public Policy , 2003 .

[11]  Colin Camerer Behavioral Game Theory: Experiments in Strategic Interaction , 2003 .

[12]  D. Shoup The High Cost of Free Parking , 1997 .

[13]  M. Macy,et al.  Learning dynamics in social dilemmas , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[14]  Gilbert Laporte,et al.  The parking allocation problem for connected vehicles , 2020, J. Heuristics.

[15]  Ioannis Stavrakakis,et al.  Opportunistically assisted parking service discovery: Now it helps, now it does not , 2012, Pervasive Mob. Comput..

[16]  Marco Gruteser,et al.  ParkNet: drive-by sensing of road-side parking statistics , 2010, MobiSys '10.

[17]  Jie Lin,et al.  Parking slot assignment games , 2011, GIS.

[18]  Ioannis Stavrakakis,et al.  On the Efficiency of Information-Assisted Search for Parking Space: A Game-Theoretic Approach , 2013, IWSOS.

[19]  Byung-Sung Kim,et al.  Parking space detection using ultrasonic sensor in parking assistance system , 2008, 2008 IEEE Intelligent Vehicles Symposium.

[20]  Robert W. Rosenthal,et al.  A bounded-rationality approach to the study of noncooperative games , 1989 .

[21]  Naoki Masuda,et al.  Reinforcement learning account of network reciprocity , 2017, PloS one.

[22]  D. Shoup Cruising for Parking , 2006 .

[23]  David W. Barnes Congestible Intellectual Property and Impure Public Goods , 2011 .

[24]  Enrique Alba,et al.  A New Heuristic for Solving the Parking Assignment Problem , 2015, KES.

[25]  On the human-driven decision-making process in competitive environments , 2013 .

[26]  Giulio Cimini,et al.  Learning dynamics explains human behaviour in Prisoner's Dilemma on networks , 2014, Journal of The Royal Society Interface.

[27]  Adel W. Sadek,et al.  Modeling Parking Behavior Under Uncertainty: A Static Game Theoretic versus a Sequential Neo-additive Capacity Modeling Approach , 2013 .

[28]  G. Hardin,et al.  The Tragedy of the Commons , 1968, Green Planet Blues.

[29]  Biswajit Panja,et al.  Wirelessly Sensing Open Parking Spaces : Accounting and Management of Parking Facility , 2011, AMCIS.

[30]  Ioannis Stavrakakis,et al.  Value of information exposed: Wireless networking solutions to the parking search problem , 2011, 2011 Eighth International Conference on Wireless On-Demand Network Systems and Services.

[31]  Peter M. Todd,et al.  Car parking as a game between simple heuristics , 2012 .

[32]  Yamir Moreno,et al.  Reputation drives cooperative behaviour and network formation in human groups , 2015, Scientific Reports.

[33]  Naoki Masuda,et al.  Reinforcement Learning Explains Conditional Cooperation and Its Moody Cousin , 2016, PLoS Comput. Biol..

[34]  Philip Jones,et al.  Public Finance and Public Choice (2nd ed) , 1998 .