Worthwhile-to-move behaviors as temporary satisficing without too many sacrificing processes

The worthwhile-to-move incremental principle is a mechanism where, at each step, the agent, before moving and after exploration around the current state, compares intermediate advantages and costs to change to advantages and costs to stay. These advantages and costs to change include goal-setting, psychological, cognitive, learning and inertia aspects. Acceptables moves are such that advantages to move than to stay are higher than some fraction of costs to move than to stay, with, as a result, a limitation of the intermediate sacrifices to reach the goal. When the agent is more goal-oriented and improves enough at each step, the process ends in a permanent routine, a rest point where the agent prefers to stay than to change, in spite of some possible residual frustration to have missed his goal. In case of high local costs to move this approach leads to a cognitive proof of Ekeland epsilon-variational principle. The as if hypothesis (as if agents would optimize) is revisited, leading to the introduction of a new class of optimization algorithm with inertia, the local search and proximal algorithms.

[1]  Barton L. Lipman,et al.  Switching costs in infinitely repeated games , 2009, Games Econ. Behav..

[2]  Hédy Attouch,et al.  On the convergence of the proximal algorithm for nonsmooth functions involving analytic features , 2008, Math. Program..

[3]  M. Friedman,et al.  The Methodology of Positive Economics , 2010 .

[4]  Juan Enrique Martínez-Legaz,et al.  A tabu search scheme for abstract problems, with applications to the computation of fixed points , 2008 .

[5]  J. Bolte,et al.  Alternating Proximal Algorithms for Weakly Coupled Minimization Problems. Applications to Dynamical Games and PDE’s , 2008 .

[6]  Patrick Redont,et al.  A New Class of Alternating Proximal Minimization Algorithms with Costs-to-Move , 2007, SIAM J. Optim..

[7]  Roberto Solis-Oba,et al.  Local Search , 2007, Handbook of Approximation Algorithms and Metaheuristics.

[8]  L. Ambrosio,et al.  Gradient Flows: In Metric Spaces and in the Space of Probability Measures , 2005 .

[9]  M. Teboulle,et al.  Regularized Lotka-Volterra Dynamical System as Continuous Proximal-Like Method in Optimization , 2004 .

[10]  Christopher J. Tyson.  Revealed preference analysis of boundedly rational choice , 2003 .

[11]  A. Diederich,et al.  Survey of decision field theory , 2002, Math. Soc. Sci..

[12]  A. Soubeyran,et al.  Série Scientifique Scientific Series a Theory of Routines as Mindsavers a Theory of Routines as Mindsavers , 2022 .

[13]  Joel Sobel,et al.  Economists' Models of Learning , 2000, J. Econ. Theory.

[14]  Barton L. Lipman,et al.  Switching Costs in Frequently Repeated Games , 2000, J. Econ. Theory.

[15]  C. Carroll.  Solving consumption models with multiplicative habits , 2000 .

[16]  H. Attouch,et al.  THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM , 2000 .

[17]  Ted O’Donoghue,et al.  Doing It Now or Later , 1999 .

[18]  P. Todd,et al.  Simple Heuristics That Make Us Smart , 1999 .

[19]  R. Selten,et al.  Aspiration Adaptation Theory. , 1998, Journal of mathematical psychology.

[20]  R. Selten.  Features of experimentally observed bounded rationality , 1998 .

[21]  Pramila Srivastava,et al.  Fixed Point Theory and Best Approximation: The KKM-map Principle , 1997 .

[22]  R. Rumelt,et al.  Inertia and Transformation , 1995 .

[23]  P. Klemperer.  Competition when Consumers have Switching Costs: An Overview with Applications to Industrial Organization, Macroeconomics, and International Trade , 1992 .

[24]  William G. Huitt,et al.  Problem solving and decision making: Consideration of individual differences using the Myers-Briggs Type Indicator. , 1992 .

[25]  Henry L. Tosi.  A Theory of Goal Setting and Task Performance , 1991 .

[26]  Andrew B. Abel,et al.  Asset Prices Under Habit Formation and Catching Up with the Joneses , 1990 .

[27]  Eric J. Johnson,et al.  Adaptive Strategy Selection in Decision Making. , 1988 .

[28]  S. Winter,et al.  An evolutionary theory of economic change , 1983 .

[29]  Gavin J. Wright.  An evolutionary theory of economic change , 1982 .

[30]  F. Acito.  Consumer Decision Making and Health Maintenance Organizations: A Review , 1978, Medical care.

[31]  H. Simon,et al.  From substantive to procedural rationality , 1976 .

[32]  R. Rockafellar.  Monotone Operators and the Proximal Point Algorithm , 1976 .

[33]  I. Ekeland.  On the variational principle , 1974 .

[34]  Herbert A. Simon,et al.  The Sciences of the Artificial , 1970 .

[35]  V. Vroom.  Work and motivation , 1964 .

[36]  C. Lindblom.  THE SCIENCE OF MUDDLING THROUGH , 1959 .

[37]  H. Simon,et al.  A Behavioral Model of Rational Choice , 1955 .