The Evolution of Networks and Local Public Good Provision: A Potential Approach

In this paper, we propose a game in which each player decides with whom to establish a costly connection and how much local public good is provided when benefits are shared among neighbors. We show that, when agents are homogeneous, Nash equilibrium networks are nested split graphs. Additionally, we show that the game is a potential game, even when we introduce heterogeneity along several dimensions. Using this result, we introduce stochastic best reply dynamics and show that this admits a unique and stationary steady state distribution expressed in terms of the potential function of the game. Hence, even if the set of Nash equilibria is potentially very large, the long run predictions are sharp.

Inequality, role reversal and cooperation in multiple group membership settings

We investigate the role of endowment inequality in a local and global public goods setting with multiple group membership and examine the effect of temporal role reversal on cooperation decisions. Subjects can contribute to a global public good which benefits all subjects and two local public goods which benefit only subjects of either their own group or the group of the other endowment type. Endowment inequality per-se decreases contributions of subjects with a high endowment to the global public good, but increases cooperation of subjects with a low endowment on their local public good, thereby aggravating income disparities. Exogenously induced role reversal for several periods affects cooperation behavior of subjects with a high endowment positively and induces them to contribute more to the global good. Cooperation in unequal environments thus appears to be more stable when all parties have experienced the public goods game from the disadvantageous perspective.

Monopoly versus Individual Welfare When a Local Public Good Is Used to Attract the Creative Class

We study the decision problems faced by a city authority (CA) who focuses on two different objectives in her attempt to attract members of the creative class to her city by providing a local public good (LPG). First, we compute the maximum tax that a creative class member is willing to pay to enjoy the LPG on offer by living in the CA’s city. Second, assuming that the CA acts like a “monopolist” interested in maximizing the total benefit to her city, we determine the number of members N to attract to her city and the amount of the LPG L to provide so that the total benefit is maximized. Third, supposing that the CA maximizes the welfare of an individual member, we ascertain the values of N and L that maximize this individual welfare. Finally, we compare and contrast the outcomes that arise from the CA’s focus on these two distinct objectives.