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- Mohammad Tanvir Irfan, Luis E. Ortiz
- Artif. Intell.
- 2014

We introduce a new approach to the study of influence in strategic settings where the action of an individual depends on that of others in a network-structured way. We propose influence games (IGs) as a game-theoretic (GT) model of the behavior of a large but finite networked population. IGs allow both positive and negative influence factors, permitting… (More)

- Luis E. Ortiz, Mohammad Tanvir Irfan
- ArXiv
- 2016

We provide the first fully polynomial time approximation scheme (FPTAS) for computing an approximate mixed-strategy Nash equilibrium in tree-structured graphical multi-hypermatrix games (GMhGs). GMhGs are generalizations of normal-form games, graphical games, graphical polymatrix games, and hypergraphical games. Computing an exact mixed-strategy Nash… (More)

- Mohammad Tanvir Irfan, Luis E. Ortiz
- AAAI
- 2011

We propose influence games, a new class of graphical games, as a model of the behavior of large but finite networked populations. Grounded in non-cooperative game theory, we introduce a new approach to the study of influence in networks that captures the strategic aspects of complex interactions in the network. We study computational problems on influence… (More)

- Therese C. Biedl, Mohammad Tanvir Irfan, Justin Iwerks, Joondong Kim, Joseph S. B. Mitchell
- Discrete & Computational Geometry
- 2012

We explore the art gallery problem for the special case that the domain (gallery) P is an m-polyomino, a polyform whose cells are m unit squares. We study the combinatorics of guarding polyominoes in terms of the parameter m, in contrast with the traditional parameter n, the number of vertices of P. In particular, we show that ⌊ m+1 3 ⌋ point guards are… (More)

- Therese C. Biedl, Mohammad Tanvir Irfan, Justin Iwerks, Joondong Kim, Joseph S. B. Mitchell
- Symposium on Computational Geometry
- 2011

We explore the art gallery problem for the special case that the domain (gallery) P is an m-polyomino, a polyform whose cells are m unit squares. We study the combinatorics of guarding polyominoes in terms of the parameter m, in contrast with the traditional parameter n, the number of vertices of P; in particular, we show that floor((m+1)/3) point guards… (More)

A straight-line drawing of a plane graph G is a drawing of G where each vertex is drawn as a point and each edge is drawn as a straight-line segment without edge crossings. A proximity drawing Γ of a plane graph G is a straight-line drawing of G with the additional geometric constraint that two vertices of G are adjacent if and only if no other vertex of G… (More)

Performing interventions is a major challenge in economic policy-making. We propose causal strategic inference as a framework for conducting interventions and apply it to large, networked microfinance economies. The basic solution platform consists of modeling a microfinance market as a networked economy, learning the parameters of the model from the… (More)

- M Irfan
- Journal of comparative pathology
- 1967