Despite linear programming and duality have correctly been incorporated in algorithms to compute the nucleolus, we have found mistakes in how these have been used in a broad range of applications. Overlooking the fact that a linear program can have multiple optimal solutions and neglecting the...

Monotone methods enable comparative static analysis without the restrictive assumptions of the implicit function theorem. Ease of use and flexibility in solving comparative static and game theory problems have made monotone methods popular in the economics literature and in graduate courses, but...

Dams are essential for water storage and hydropower generation, but change river flow patterns and endanger local environments. Dam projects may further exacerbate already existing problems in trans-boundary rivers. We consider three scenarios of institutional factors: (1) each country pursues...

This paper looks at a general framework for mean-field games with ambiguity averse players based on the probabilistic framework described in Carmona (2013). A framework for mean-field games with ambiguity averse players is presented, using a version of the stochastic maximum principle to find...

Interbank borrowing and lending may induce systemic risk into financial markets. A simple model of this is to assume that log-monetary reserves are coupled, and that banks can also borrow/lend from/to a central bank. When all banks optimize their cost of borrowing and lending, this leads to a...

The optimization of sustainable smart cities is an essential endeavor in modern urban development, aiming to enhance the quality of life for citizens while minimizing environmental impacts. Big data plays a critical role in achieving these goals by enabling the collection, analysis, and...

We develop a computational method to identify all pure strategy equilibrium pointsin the strategy space of the two-player, two-action repeated games played by Q-learnerswith one period memory. In order to approximate the dynamics of these Q-learners,we construct a graph of pure strategy mutual...

Dams are essential for water storage and hydropower generation, but change river flow patterns and endanger local environments. Dam projects may further exacerbate already existing problems in trans-boundary rivers. We consider three scenarios of institutional factors: (1) each country pursues...

Despite linear programming and duality have correctly been incorporated in algorithms to compute the nucleolus, we have found mistakes in how these have been used in a broad range of applications. Overlooking the fact that a linear program can have multiple optimal solutions and neglecting the...

Almost all results on competitive product positioning derived in the literature so far are based on the hypothesis that static Nash equilibria of profit-maximizing competitors are accurate predictors of final market configurations. If the positioning behavior of firms differs from this...