My primary research interest is social behavior for software agents to achieve cooperation in general-sum normal form games. An agent can easily be programmed to constantly cooperate in a normal form game, but such an agent is not suitable for environments with potentially hostile opponents. For a rational agent, the main reason to cooperate is to induce reciprocation therefore it is necessary ...

Gopalakrishnan et al [1] described a method called \growth transform" to optimize rational functions over a domain, which has been found useful to train discriminatively Hidden Markov Models(HMM) in speech recognition [5, 6, 9]. A sum of rational functions is encountered when the contributions from other HMM states are weighted in estimating Gaussian parameters of a state, and the weights are o...

PHD THESIS SUMMARY: Rationality and institutions: an inquiry into the normative implications of rational choice theory. In my dissertation, I aim to analyze what a desirable basic institutional structure looks like from the perspective of rational choice theory. While the main topic is thus normative in nature, I start by clarifying in the first part what the notion of rationality exactly entai...

Neither the Ash‘arites nor Kierkegaard’s systems of theology are anti-rational, for Kierkegaard regards the contradiction present in the object of faith as absolute rather than logical, suggesting thereby the existential dialectics for understanding this contradiction instead of resolving it. The Ash‘arites also hold that one can understand the existence of God through absolute reason, or reaso...

We consider first-order infinite-valued Łukasiewicz logic and its expansion, rational Pavelka RPL∀. From the viewpoint of provability, we compare several Gentzen-type hypersequent calculi for these logics with each other Hájek’s Hilbert-type same logics. To facilitate comparing previously known logics, define two new analytic RPL∀ include them in our comparison. The key part comparison is a den...

A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations a,b Abstract Here we present a method to find elementary first integrals of rational second order ordinary differential equations (SOODEs) based on a Darboux type procedure [16, 12, 13]. Apart from practical computational considerations, the method will be capable of telling us (u...

Abstract Rational approximation recently emerged as an efficient numerical tool for the solution of exterior wave propagation problems. Currently, this technique is limited to media which are invariant along main direction. We propose a new model order reduction-based approach compressing unbounded waveguides with layered inclusions. It based on nonlinear rational least squares problem using RK...