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S- and T-Self in Dilatonic F(r) Theories
(Springer Verlag, 2017) Rador, Tonguç; 01. Izmir Institute of Technology
We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S- or T-self-dualities. The theories we find are free of Ostrogradsky instabilities. We also show that within the framework we are confining ourselves, a theory of the form mentioned above cannot have both T- and S-dualities except for the case where the action is linear in the scalar curvature.
Citation - WoS: 3
Citation - Scopus: 3
Merger Dynamics in Three-Agent Games
(Springer Verlag, 2011) Rador, Tonguç; Derici, R.; 01. Izmir Institute of Technology
We present the effect of mergers, a term which we use to mean a temporary alliance, in the dynamics of the three-agent model studied by Ben-Naim, Kahng and Kim and by Rador and Mungan. Mergers are possible in three-agent games because two agents can combine forces against the third player and thus increase their probability to win a competition. We implement mergers in this three-agent model via resolving merger and no-merger units of competition in terms of a two-agent unit. This way one needs only a single parameter which we have called the competitiveness parameter. We have presented an analytical solution in the fully competitive limit. In this limit the score distribution of agents is stratified and self-similar.

Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection