Interesting!

Dear Prof.Deman

Sorry, for my late answer.The book solve all of the examples with part 2.Also, I can't find any examples which solved with part 1.

I think it can be related to the support set. But, I can't find the relationship.Do you think it is a correct guess?

What is this theorem sir?

See Wikipedia for detaile dexplantion.

In most simple games, the ESSes and Nash equilibria coincide perfectly. For instance, in the Prisoner's Dilemma there is only one Nash equilibrium, and its strategy (Defect) is also an ESS. Therefore, first condtion is not discused. The emphasis is on the second condition beacsue it addresses other scenario.

Some games may have Nash equilibria that are not ESSes. For example, in Harm thy neighbor both (A, A) and (B, B) are Nash equilibria, since players cannot do better by switching away from either. However, only B is an ESS (and a strong Nash). A is not an ESS, so B can neutrally invade a population of A strategists and predominate, because B scores higher against B than A does against B. This dynamic is captured by Maynard Smith's second condition, since E(A, A) = E(B, A), but it is not the case that E(A,B) > E(B,B).

Dear Mr.Chattaraj

This theorem gives us an alternative procedure for finding an ESS in a pairwise contest population game.Look at intro book on the subject of ESSs and Nash Equilibria.

Might Interest you. Proposed Game theory Conferences at IPE in honour of Prof Shapley & CR Rao’s 92nd Birthday

Second International Conference on Game theory Application to Decisions and Policies (GTADP) and International Conference on Game Theory, Operations Research and their Applications and Workshop on Game theory (GTORA) will be held at IPE in Hyderabad from December 17-22, 2012. These conferences are continuation of Game Theory Conferences which produced an Edited Volume, Conference Souvenir and publishable papers. These conferences will be held consecutively on December 17-18, 2012 (GTADP) and December 20-22, 2012 (GTORA).December 18 will be set aside for an excursion for the participants of both the conferences followed by a morning Game theory Workshop for graduate students and others.

We cordially invite you to set aside 6 days for attending the above two Conferences, but you could chose either one of them. Conferences will provide an open platform to worldwide scholars for presenting research and exchanging ideas of new developments in game theory and applications and honour two distinguish academicians. Announcement will be placed on the Game theory website shortly.

Last year’s Sponsoring Institutions: Institute of Public Enterprise, Hyderabad, CR Rao AIMSCCS, Hyderabad, Central University of Rajasthan, Indian Statistical Institute Chennai, Hyderabad University, and Centre for Economics & Finance, London and we received very good feedback. We hope to get continuing support from the above sponsors and invite you to sponsor the conferences. If you want to be on the National or International Programs please send us your CV showing your ongoing interest in Game theory.

Contact: Prof S Deman for GTADP at [email protected], Tel. 0044 208 4594657, 0091 9983748677 (India), & Mob: 0044 7525857351, & Dr Jayasree, IPE, Mob: 00919848455583.

Prof T. Parthasarthy for (GTORA) at T Parthasarthy

Dear Prof.Deman

Thank you for your valuable information about the conferances and workshops.Unfortunately my university won't support me for travel to other countries.However, I 'll send this message to my professor and my colleague.

Also, I will send the informations to the Intelligent Systems Scientific Society of Iran(isssi).

I hope I can continue this relation.

Best regards,

Nouri

Of course, keep in touch and we see what can we do to bring you to India. Do send a paper.

Thank you. Could you send me teh websites and the deadline of conferences,please?

Dear Dr.Smid,

Yes, it is interesting for me. I look forward to your answer,

Best regards,

Vahid