?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4148%2F&rft.title=A+Differential+Model+for+a+2x2-Evolutionary+Game+Dynamics&rft.creator=Tarasyev%2C+A.M.&rft.description=A+dynamical+model+for+an+evolutionary+nonantagonistic+(nonzero+sum)+game+between+two+populations+is+considered.+A+scheme+of+a+dynamical+Nash+equilibrium+in+the+class+of+feedback+(discontinuous)+controls+is+proposed.+The+construction+is+based+on+solutions+of+auxiliary+antagonistic+(zero-sum)+differential+games.+A+method+for+approximating+the+corresponding+value+functions+is+developed.+The+method+uses+approximation+schemes+for+constructing+generalized+(minimax%2C+viscosity)+solutions+of+first+order+partial+differential+equations+of+Hamilton-Jacobi+type.+A+numerical+realization+of+a+grid+procedure+is+described.+Questions+of+convergence+of+approximate+solutions+to+the+generalized+one+(the+value+function)+are+discussed%2C+and+estimates+of+convergence+are+pointed+out.+The+method+provides+equilibrium+feedbacks+in+parallel+with+the+value+functions.+Implementation+of+grid+approximations+for+feedback+control+is+justified.+Coordination+of+long-+and+short-term+interests+of+populations+and+individuals+is+indicated.+A+possible+relation+of+the+proposed+game+model+to+the+classical+replicator+dynamics+is+outlined.&rft.publisher=WP-94-063&rft.date=1994-08&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4148%2F1%2FWP-94-063.pdf&rft.identifier=++Tarasyev%2C+A.M.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1610.html%3E++(1994).++A+Differential+Model+for+a+2x2-Evolutionary+Game+Dynamics.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-94-063+++++