Do Firms Play Markov Strategies?

2010 ◽  
Author(s):  
Nicolas de Roos
Keyword(s):  
Markov Strategies

scholarly journals A CLOSED-FORM SOLUTION TO A MODEL OF TWO-SIDED, PARTIAL ALTRUISM

2012 ◽  
Vol 16 (2) ◽  
pp. 230-239
Author(s):  
Ana Fernandes
Keyword(s):  
Closed Form ◽  
Overlapping Generations ◽  
Closed Form Solution ◽  
Form Solution ◽  
Allocation Of Resources ◽  
Overlapping Generations Model ◽  
Parents And Children ◽  
Saving Rates ◽  
Markov Strategies

This paper presents a closed-form characterization of the allocation of resources in an overlapping generations model of two-sided, partial altruism. Three assumptions are made: (i) parents and children play Markov strategies, (ii) utility takes the CRRA form, and (iii) the income of children is stochastic but proportional to the saving of parents. In families where children are rich relative to their parents, saving rates—measured as a function of the family's total resources—are higher than when children are poor relative to their parents. Income redistribution from the old to the young, therefore, leads to an increase in aggregate saving.

Stability of linear stochastic difference equations in strategically controlled random environments

2003 ◽  
Vol 35 (4) ◽  
pp. 961-981 ◽  
Author(s):  
Ulrich Horst
Keyword(s):  
Stochastic Process ◽  
Random Environment ◽  
Linear Relation ◽  
Nash Equilibria ◽  
Stochastic Game ◽  
Sufficient Conditions ◽  
Stationary Regime ◽  
Random Environments ◽  
Simultaneous Control ◽  
Markov Strategies

We consider the stochastic sequence {Yt}t∈ℕ defined recursively by the linear relation Yt+1=AtYt+Bt in a random environment. The environment is described by the stochastic process {(At,Bt)}t∈ℕ and is under the simultaneous control of several agents playing a discounted stochastic game. We formulate sufficient conditions on the game which ensure the existence of Nash equilibria in Markov strategies which have the additional property that, in equilibrium, the process {Yt}t∈ℕ converges in distribution to a stationary regime.

Optimal Markov strategies for controlled ito processes

1990 ◽  
Vol 29 (2) ◽  
pp. 146-158
Author(s):  
R. Mikulevicius ◽  
H. Pragarauskas
Keyword(s):  
Markov Strategies
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